% Encoding: windows-1252

@Article{Agathos2015,
  author =   {Agathos, K and Chatzi, E and Bordas, SPA and Talaslidis, D},
  title =    {A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture},
  journal =  {International Journal for Numerical Methods in Engineering},
  year =     {2016},
  volume =   {105},
  number =   {9},
  pages =    {643--677},
  note =     {nme.4982},
  doi =      {10.1002/nme.4982},
  issn =     {1097-0207},
  keywords = {XFEMl, geometrical enrichment, point-wise matching, dof gathering, global enrichment, conditioning},
  url =      {http://dx.doi.org/10.1002/nme.4982}
}

@Article{Agathos2016,
  author =  {Agathos, K and Chatzi, E and Bordas, SPA},
  title =   {Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year =    {2016},
  doi =     {10.1016/j.cma.2016.03.023}
}

@Article{babuvska1994,
  Title                    = {Special finite element methods for a class of second order elliptic problems with rough coefficients},
  Author                   = {Babu{\v{s}}ka, I and Caloz, G and Osborn, JE},
  Journal                  = {SIAM Journal on Numerical Analysis},
  Year                     = {1994},
  Number                   = {4},
  Pages                    = {945--981},
  Volume                   = {31},

  Owner                    = {Agathos},
  Publisher                = {SIAM},
  Timestamp                = {2015.10.04}
}

@Article{Babuvska2012,
  Title                    = {Stable generalized finite element method (SGFEM)},
  Author                   = {Babu{\v{s}}ka, I and Banerjee, U},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2012},
  Pages                    = {91--111},
  Volume                   = {201},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.04}
}

@Article{Bechet2005,
  Title                    = {{Improved implementation and robustness study of the X-FEM for stress analysis around cracks}},
  Author                   = {B\'{e}chet, E and Minnebo, H and Mo\"{e}s, N and Burgardt, B},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2005},

  Month                    = oct,
  Number                   = {8},
  Pages                    = {1033--1056},
  Volume                   = {64},

  Doi                      = {10.1002/nme.1386},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-geometrical enrichment.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {convergence rate,crack,ge\_xfem\_ref,integration scheme,j -integral,paperreferences,preconditioner,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.24}
}

@Article{Belytschko1994,
  Title                    = {{Element-free Galerkin methods}},
  Author                   = {Belytschko, T and Lu, YY and Gu, L},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {1994},
  Number                   = {April 1993},
  Pages                    = {229--256},
  Volume                   = {37},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-element free galerkin 1.pdf:pdf},
  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1620370205/abstract}
}

@Article{Belytschko1995,
  Title                    = {{Crack propagation by element-free Galerkin methods}},
  Author                   = {Belytschko, T and Lu, YY and Gu, L},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {1995},
  Number                   = {2},
  Pages                    = {295--315},
  Volume                   = {51},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-element free galerkin crack propagation.pdf:pdf},
  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Belytschko1999,
  Title                    = {{Elastic crack growth in finite elements with minimal remeshing}},
  Author                   = {Belytschko, T and Black, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {1999},
  Number                   = {July 1998},
  Pages                    = {601--620},
  Volume                   = {620},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Elastic Crack Growth in Finite Elements with Minimal Remeshing.pdf:pdf},
  Keywords                 = {fracture,ge\_xfem\_ref,paperreferences,partition-of-unity,xfem,\"{y}nite elements},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Belytschko2001,
  Title                    = {{Arbitrary discontinuities in finite elements}},
  Author                   = {Belytschko, T and Mo\"{e}s, N and Usui, S and Parimi, C},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2001},
  Number                   = {August 2000},
  Pages                    = {993--1013},
  Volume                   = {50},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Arbitrary disc.pdf:pdf},
  Keywords                 = {fasteners,fracture,ge,ge\_xfem\_ref,jointed rock,paperreferences,xfem,\"{y}nite elements},
  Mendeley-tags            = {ge,ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/1097-0207(20010210)50:4\%3C993::AID-NME164\%3E3.0.CO;2-M/abstract}
}

@Article{Bordas2006,
  Title                    = {{Enriched finite elements and level sets for damage tolerance assessment of complex structures}},
  Author                   = {Bordas, SPA and Moran, B},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2006},

  Month                    = jun,
  Number                   = {9},
  Pages                    = {1176--1201},
  Volume                   = {73},

  Doi                      = {10.1016/j.engfracmech.2006.01.006},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Damage tolerance assessment.pdf:pdf},
  ISSN                     = {00137944},
  Keywords                 = {c,damage tolerance assessment,enriched,extended finite elements,ge\_xfem\_ref,industrial problems,object-oriented programming,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0013794406000257}
}

@Article{Bordas2007,
  Title                    = {{An extended finite element library}},
  Author                   = {Bordas, SPA and Nguyen, PV and Dunant, C and Guidoum, A and Nguyen-Dang, H},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2007},
  Number                   = {January},
  Pages                    = {703--732},
  Volume                   = {71},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-library.pdf:pdf},
  Keywords                 = {c,crack propagation,dense fissuration,extended finite element,fracture mechanics,ge\_xfem\_ref,industrial problems,method,object-oriented programming,partition of unity enrichment,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1966/abstract}
}

@Article{Bordas2007a,
  Title                    = {{Derivative recovery and a posteriori error estimate for extended finite elements}},
  Author                   = {Bordas, SPA and Duflot, M},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2007},

  Month                    = jul,
  Number                   = {35-36},
  Pages                    = {3381--3399},
  Volume                   = {196},

  Doi                      = {10.1016/j.cma.2007.03.011},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-derivative recovery.pdf:pdf},
  ISSN                     = {00457825},
  Keywords                 = {a posteriori error estimation,derivative recovery,enrichment,extended finite element method,extended moving least squares,fracture mechanics,ge\_xfem\_ref,partition of unity,three-dimensional cracks,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045782507001417}
}

@Article{Bordas2008,
  Title                    = {{Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic}},
  Author                   = {Bordas, SPA and Rabczuk, T and Zi, G},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2008},
  Pages                    = {943--960},
  Volume                   = {75},

  Doi                      = {10.1016/j.engfracmech.2007.05.010},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-3d non-linear.pdf:pdf},
  Keywords                 = {cohesive cracks,discontinuous enrichment,dynamic,extended element free galerkin,fracture,ge\_xfem\_ref,high velocity impact,lagrange multipliers,large deformations,method,xefg},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://www.sciencedirect.com/science/article/pii/S0013794407002536}
}

@Article{bordas2008simple,
  Title                    = {A simple error estimator for extended finite elements},
  Author                   = {Bordas, S and Duflot, M and Le, P},
  Journal                  = {Communications in Numerical Methods in Engineering},
  Year                     = {2008},
  Number                   = {11},
  Pages                    = {961--971},
  Volume                   = {24},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.10.04}
}

@Article{Bordas2010,
  Title                    = {Strain smoothing in FEM and XFEM},
  Author                   = {Bordas, SPA and Rabczuk, T and Hung, NX and Nguyen, VP and Natarajan, S and Bog, T and Hiep, NV and others},
  Journal                  = {Computers \& structures},
  Year                     = {2010},
  Number                   = {23},
  Pages                    = {1419--1443},
  Volume                   = {88},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.06}
}

@Article{Carpinteri2001,
  Title                    = {{An augmented Lagrangian element-free (ALEF) approach for crack discontinuities}},
  Author                   = {Carpinteri, A and Ferro, G and Ventura, G},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2001},

  Month                    = dec,
  Number                   = {8-10},
  Pages                    = {941--957},
  Volume                   = {191},

  Doi                      = {10.1016/S0045-7825(01)00288-2},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-augmented Lagrangian.pdf:pdf},
  ISSN                     = {00457825},
  Keywords                 = {augmented lagrangian,fracture mechanics,ge\_xfem\_ref,meshless methods},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045782501002882}
}

@Article{Chahine2008,
  Title                    = {{Crack tip enrichment in the XFEM using a cutoff function}},
  Author                   = {Chahine, E and Laborde, P},
  Journal                  = {International journal for numerical methods in engineering},
  Year                     = {2008},
  Number                   = {January},
  Pages                    = {629--646},
  Volume                   = {75},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-cutoff function.pdf:pdf},
  Keywords                 = {cutoff function,error estimates,extended finite element method,fracture mechanics,ge\_xfem\_ref,numerical convergence rate,paperreferences,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Chahine2011,
  Title                    = {{A non-conformal eXtended Finite Element approach: Integral matching Xfem}},
  Author                   = {Chahine, E and Laborde, P and Renard, Y},
  Journal                  = {Applied Numerical Mathematics},
  Year                     = {2011},

  Month                    = mar,
  Number                   = {3},
  Pages                    = {322--343},
  Volume                   = {61},

  Doi                      = {10.1016/j.apnum.2010.10.009},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-integral matching.pdf:pdf},
  ISSN                     = {01689274},
  Keywords                 = {ge\_xfem\_ref,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Publisher                = {Elsevier B.V.},
  Timestamp                = {2014.09.19},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0168927410001844}
}

@Article{Chessa2003,
  Title                    = {{On the construction of blending elements for local partition of unity enriched finite elements}},
  Author                   = {Chessa, J and Wang, H and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2003},

  Month                    = jun,
  Number                   = {7},
  Pages                    = {1015--1038},
  Volume                   = {57},

  Doi                      = {10.1002/nme.777},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Blending elements2.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {enriched \"{y}nite element,ge\_xfem\_ref,paperreferences,reproducing conditions,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09}
}

@Article{Chevaugeon2013,
  Title                    = {{Improved crack tip enrichment functions and integration for crack modeling using the extended finite element method}},
  Author                   = {Chevaugeon, N and Mo\"{e}s, N and Minnebo, H},
  Journal                  = {Journal for Multiscale Computational Engineering},
  Year                     = {2013},
  Pages                    = {597-631},
  Volume                   = {11},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-improved enrichment functions.pdf:pdf},
  Keywords                 = {cracks,ge\_xfem\_ref,lefm,singular function integration,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09},
  Url                      = {http://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,031a1f9221ddec42,5cda4ec54e63c352.html}
}

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  Title                    = {Real-time simulation of contact and cutting of heterogeneous soft-tissues},
  Author                   = {Courtecuisse, H and Allard, J and Kerfriden, P and Bordas, SPA and Cotin, S and Duriez, C},
  Journal                  = {Medical image analysis},
  Year                     = {2014},
  Number                   = {2},
  Pages                    = {394--410},
  Volume                   = {18},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.06}
}

@Article{Duarte1996,
  Title                    = {An h-p adaptive method using clouds},
  Author                   = {Duarte, CA and Oden, JT},
  Journal                  = {Computer methods in applied mechanics and engineering},
  Year                     = {1996},
  Number                   = {1},
  Pages                    = {237--262},
  Volume                   = {139},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.07.13}
}

@Article{Duarte1996b,
  Title                    = {Hp clouds-an hp meshless method},
  Author                   = {Duarte, CA and Oden, JT},
  Journal                  = {Numerical methods for partial differential equations},
  Year                     = {1996},
  Number                   = {6},
  Pages                    = {673--706},
  Volume                   = {12},

  Owner                    = {Agathos},
  Publisher                = {New York: Wiley, c1985-},
  Timestamp                = {2015.07.13}
}

@Article{Duflot2007,
  Title                    = {{A study of the representation of cracks with level sets}},
  Author                   = {Duflot, M},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2007},
  Number                   = {November 2006},
  Pages                    = {1261--1302},
  Volume                   = {70},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-level sets.pdf:pdf},
  Keywords                 = {crack propagation,efgm,fracture,ge\_xfem\_ref,level set method,xfem},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1915/abstract}
}

@Article{Duflot2008,
  Title                    = {{A posteriori error estimation for extended finite elements by an extended global recovery}},
  Author                   = {Duflot, M and Bordas, SPA},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2008},
  Number                   = {June},
  Pages                    = {1123--1138},
  Volume                   = {76},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-error estimator.pdf:pdf},
  Keywords                 = {a posteriori error estimation,extended finite elements,fracture,ge\_xfem\_ref,global derivative recovery,mechanics,partition of unity enrichment,three-dimensional problems,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2332/abstract}
}

@Article{Fish1992,
  Title                    = {{The s-version of the finite element method}},
  Author                   = {Fish, J},
  Journal                  = {Computers \& Structures},
  Year                     = {1992},
  Number                   = {3},
  Pages                    = {539--547},
  Volume                   = {43},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/s-finite element method.pdf:pdf},
  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Url                      = {http://www.sciencedirect.com/science/article/pii/004579499290287A}
}

@Article{Fleming1997,
  Title                    = {{Enriched element-free Galerkin methods for crack tip fields}},
  Author                   = {Fleming, M and Chu, Y A R and Moran, B S and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {1997},
  Number                   = {January 1996},
  Pages                    = {1483--1504},
  Volume                   = {1504},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-galerkin.pdf:pdf},
  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Fries2008,
  Title                    = {{A corrected XFEM approximation without problems in blending elements}},
  Author                   = {Fries, TP},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2008},
  Number                   = {November 2007},
  Pages                    = {503--532},
  Volume                   = {75},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Blending elements.pdf:pdf},
  Keywords                 = {corrected xfem,ge\_xfem\_ref,modified enrichment,optimal convergence,paperreferences,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2259/abstract}
}

@Article{Fries2010,
  Title                    = {The extended/generalized finite element method: an overview of the method and its applications},
  Author                   = {Fries, TP and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2010},
  Number                   = {3},
  Pages                    = {253--304},
  Volume                   = {84},

  Owner                    = {Agathos},
  Publisher                = {Wiley-Blackwell, 111 River Street Hoboken NJ 07030-5774 USA},
  Timestamp                = {2015.08.21}
}

@Article{Fries2012,
  Title                    = {{Crack propagation with the extended finite element method and a hybrid explicitâ€“implicit crack description}},
  Author                   = {Fries, TP and Baydoun, M},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2012},
  Number                   = {November 2011},
  Pages                    = {1527--1558},
  Volume                   = {89},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-explicit crack representation.pdf:pdf},
  Keywords                 = {crack propagation,extended finite element method,ge\_xfem\_ref,gfem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3299/full}
}

@Article{galland2011global,
  Title                    = {A global model reduction approach for 3D fatigue crack growth with confined plasticity},
  Author                   = {Galland, F and Gravouil, A and Malvesin, E and Rochette, M},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2011},
  Number                   = {5},
  Pages                    = {699--716},
  Volume                   = {200},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.06}
}

@Article{Geuzaine2009,
  Title                    = {Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities},
  Author                   = {Geuzaine, C and Remacle, J F},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2009},
  Number                   = {11},
  Pages                    = {1309--1331},
  Volume                   = {79},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.07.09}
}

@Electronic{gmm++,
  Title                    = {GMM++ Library},
  Author                   = {Renard, Y and Pommier, J},
  HowPublished             = {http://download.gna.org/getfem/html/homepage/gmm/index.html},
  Url                      = {http://download.gna.org/getfem/html/homepage/gmm/index.html},
  Year                     = {2004-2014},

  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{gonzalez2013,
  Title                    = {Convergence of domain integrals for stress intensity factor extraction in 2-D curved cracks problems with the extended finite element method},
  Author                   = {Gonz{\'a}lez-Albuixech, VF and Giner, E and Tarancon, JE and Fuenmayor, FJ and Gravouil, A},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2013},
  Number                   = {8},
  Pages                    = {740--757},
  Volume                   = {94},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.07.02}
}

@Article{Gonzalez2015,
  Title                    = {Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method},
  Author                   = {Gonz{\'a}lez-Estrada, OA and R{\'o}denas, JJ and Bordas, SPA and Nadal, E and Kerfriden, P and Fuenmayor, FJ},
  Journal                  = {Computers \& Structures},
  Year                     = {2015},
  Pages                    = {1--10},
  Volume                   = {152},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.08.19}
}

@Article{Gonzalez-Albuixech2013,
  Title                    = {{Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method}},
  Author                   = {Gonz\'{a}lez-Albuixech, VF and Giner, E and Taranc\'{o}n, JE and Fuenmayor, FJ and Gravouil, A},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2013},

  Month                    = sep,
  Pages                    = {129--144},
  Volume                   = {264},

  Doi                      = {10.1016/j.cma.2013.05.016},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-domain integral 3d.pdf:pdf},
  ISSN                     = {00457825},
  Keywords                 = {ge\_xfem\_ref,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045782513001333}
}

@Article{GonzalezEstrada2012,
  Title                    = {{On the role of enrichment and statical admissibility of recovered fields in a posteriori error estimation for enriched finite element methods}},
  Author                   = {Gonz\'{a}lez-Estrada, OA and R\'{o}denas, JJ and Bordas, SPA and Duflot, M and Kerfriden, P and Giner, E},
  Journal                  = {Engineering Computations},
  Year                     = {2012},

  Month                    = nov,
  Number                   = {8},
  Pages                    = {814--841},
  Volume                   = {29},

  Doi                      = {10.1108/02644401211271609},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-error estimator 5.pdf:pdf},
  ISSN                     = {0264-4401},
  Keywords                 = {ge\_xfem\_ref,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://www.emeraldinsight.com/doi/abs/10.1108/02644401211271609}
}

@Article{Gosz2002,
  Title                    = {{An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions}},
  Author                   = {Gosz, M and Moran, B},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2002},
  Pages                    = {299--319},
  Volume                   = {69},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/energy\_int \_for\_SIF.pdf:pdf},
  Keywords                 = {arbitrary shape,ge\_xfem\_ref,interaction energy integral,sif,stress intensity factor computation,three-dimensional non-planar crack of},
  Mendeley-tags            = {ge\_xfem\_ref,sif},
  Url                      = {http://www.sciencedirect.com/science/article/pii/S0013794401000807}
}

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  Title                    = {{Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods}},
  Author                   = {Gracie, R and Wang, H and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2008},
  Number                   = {November 2007},
  Pages                    = {1645--1669},
  Volume                   = {74},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Blending Elements 5.pdf:pdf},
  Keywords                 = {as,assumed strain,blending elements,cracks,dg,discontinuous galerkin,dislocations,extended finite element method,ge\_xfem\_ref,interfaces,paperreferences,partition of unity,pu,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09}
}

@Article{Gravouil2002,
  Title                    = {{Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update}},
  Author                   = {Gravouil, A and Mo\"{e}s, N and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2002},

  Month                    = apr,
  Number                   = {11},
  Pages                    = {2569--2586},
  Volume                   = {53},

  Doi                      = {10.1002/nme.430},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM 3D-Moes p.II.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {cracks,discontinuous approximation,fracture,ge\_xfem\_ref,level sets,xfem,\"{y}nite elements},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Url                      = {http://doi.wiley.com/10.1002/nme.430}
}

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  Title                    = {Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics},
  Author                   = {Gupta, V and Duarte, CA and Babu{\v{s}}ka, I and Banerjee, U},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2015},
  Pages                    = {355--386},
  Volume                   = {289},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.07.04}
}

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  Title                    = {{Handbook of elasticity solutions}},
  Author                   = {Kachanov, ML and Shafiro, B and Tsukrov, I},
  Year                     = {2003},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Books/Handbook of elasticity solutions.pdf:pdf},
  ISBN                     = {9789048163625},
  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.09.16},
  Url                      = {http://books.google.com/books?hl=en\&lr=\&id=IZEF\_jNTypQC\&oi=fnd\&pg=PR13\&dq=Handbook+of+Elasticity+Solutions+by\&ots=7IRyyQgMku\&sig=HlpqfJtQrLeOkWqAfoCOgN2m34M}
}

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  Title                    = {Bridging proper orthogonal decomposition methods and augmented Newton--Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems},
  Author                   = {Kerfriden, P and Gosselet, P and Adhikari, S and Bordas, SPA},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2011},
  Number                   = {5},
  Pages                    = {850--866},
  Volume                   = {200},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.06}
}

@Article{kerfriden2012local,
  Title                    = {Local/global model order reduction strategy for the simulation of quasi-brittle fracture},
  Author                   = {Kerfriden, P and Passieux, JC and Bordas, SPA},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2012},
  Number                   = {2},
  Pages                    = {154--179},
  Volume                   = {89},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.10.06}
}

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  Title                    = {A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics},
  Author                   = {Kerfriden, P and Goury, O and Rabczuk, T and Bordas, SPA},
  Journal                  = {Computer methods in applied mechanics and engineering},
  Year                     = {2013},
  Pages                    = {169--188},
  Volume                   = {256},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.06}
}

@Article{Laborde2005,
  Title                    = {{High-order extended finite element method for cracked domains}},
  Author                   = {Laborde, P and Pommier, J and Renard, Y and Sala\"{u}n, M},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2005},

  Month                    = sep,
  Number                   = {3},
  Pages                    = {354--381},
  Volume                   = {64},

  Doi                      = {10.1002/nme.1370},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-High-order.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {extended finite element method,finite elements,fracture,ge\_xfem\_ref,paperreferences,rate of convergence,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem}
}

@Article{Lan2013,
  Title                    = {A direct analytical method to extract mixed-mode components of strain energy release rates from Irwin's integral using extended finite element method},
  Author                   = {Lan, M and Waisman, H and Harari, I},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2013},
  Number                   = {12},
  Pages                    = {1033--1052},
  Volume                   = {95},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.07.04}
}

@Article{Lan2013_b,
  Title                    = {A High-order extended finite element method for extraction of mixed-mode strain energy release rates in arbitrary crack settings based on Irwin's integral},
  Author                   = {Lan, M and Waisman, H and Harari, I},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2013},
  Number                   = {12},
  Pages                    = {787--812},
  Volume                   = {96},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.07.04}
}

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  Title                    = {{Three-dimensional simulation of crack with curved front with direct estimation of stress intensity factors}},
  Author                   = {Langlois, CR and Gravouil, A and Baieto, MC and R\'{e}thor\'{e}, J},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2014},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/direct SIF 3d.pdf:pdf},
  Keywords                 = {10.1002/nme.4811 and 3D fracture mechanics,3d fracture mechanics,Williams series expansion,X-FEM,ge\_xfem\_ref,mixed-mode,multigrid,williams series expansion,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.4811/full}
}

@Article{Liu2004,
  Title                    = {{XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials}},
  Author                   = {Liu, XY and Xiao, QZ and Karihaloo, BL},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2004},

  Month                    = feb,
  Number                   = {8},
  Pages                    = {1103--1118},
  Volume                   = {59},

  Doi                      = {10.1002/nme.906},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Direct SIF evaluation.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {crack tip asymptotic field,extended finite element method,ge\_xfem\_ref,interface crack,of unity,paperreferences,partition,stress intensity factor,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.16}
}

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  Title                    = {{3D corrected XFEM approach and extension to finite deformation theory}},
  Author                   = {Loehnert, S and Mueller-Hoeppe, DS and Wriggers, P},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2011},
  Number                   = {October 2010},
  Pages                    = {431--452},
  Volume                   = {86},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-3D Corrected.pdf:pdf},
  Keywords                 = {blending elements,cracks,finite deformation,ge\_xfem\_ref,numerical integration,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.09.16},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3045/full}
}

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  Title                    = {Stress state near the vertex of a spherical notch in an unbounded elastic medium},
  Author                   = {Martynenko, MA and Ulitko, AF},
  Journal                  = {International Applied Mechanics},
  Year                     = {1978},
  Number                   = {9},
  Pages                    = {911--918},
  Volume                   = {14},

  Owner                    = {Agathos},
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  Timestamp                = {2015.07.10}
}

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  Title                    = {{The partition of unity finite element method: basic theory and applications}},
  Author                   = {Melenk, JM and Babuska, I},
  Journal                  = {Computer methods in applied mechanics and engineering},
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  ISSN                     = {0045-7825},
  Keywords                 = {ge\_xfem\_ref,paperreferences,partition of unity method,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,partition of unity method,xfem},
  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2014.12.15}
}

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  Title                    = {{A robust preconditioning technique for the extended finite element method}},
  Author                   = {Menk, A and Bordas, SPA},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2011},
  Number                   = {October 2010},
  Pages                    = {1609--1632},
  Volume                   = {85},

  Doi                      = {10.1002/nme},
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  Keywords                 = {condition number,cracks,domain decomposition,ge\_xfem\_ref,iterative solvers,material interfaces,paperreferences,preconditioner,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.09.23},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3032/full}
}

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  Title                    = {{Three-dimensional crack growth simulation using BEM}},
  Author                   = {Mi, Y and Aliabadi, MH},
  Journal                  = {Computers And Structures},
  Year                     = {1994},
  Number                   = {5},
  Pages                    = {871-878},
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  Keywords                 = {ge\_xfem\_ref},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Minnebo2012,
  Title                    = {{Three-dimensional integration strategies of singular functions introduced by the XFEM in the LEFM}},
  Author                   = {Minnebo, H},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2012},
  Number                   = {July},
  Pages                    = {1117--1138},
  Volume                   = {92},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-integration\_3d.pdf:pdf},
  Keywords                 = {fracture,ge\_xfem\_ref,lefm,mapping methods,singular integration,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.4378/full}
}

@Article{Moes1999,
  Title                    = {{A finite element method for crack growth without remeshing}},
  Author                   = {Mo\"{e}s, N and Dolbow, J and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {1999},
  Number                   = {1},
  Pages                    = {131--150},
  Volume                   = {46},

  ISSN                     = {1097-0207},
  Keywords                 = {fracture,ge\_xfem\_ref,xfem,\"{y}nite elements},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2014.12.15}
}

@Article{Moes2002,
  Title                    = {{Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model}},
  Author                   = {Mo\"{e}s, N and Gravouil, A and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2002},

  Month                    = apr,
  Number                   = {11},
  Pages                    = {2549--2568},
  Volume                   = {53},

  Doi                      = {10.1002/nme.429},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM 3D-Moes p.I.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {cracks,discontinuous approximation,fracture,ge\_xfem\_ref,level sets,xfem,\"{y}nite elements},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Url                      = {http://doi.wiley.com/10.1002/nme.429}
}

@Article{Mousavi2010,
  Title                    = {{Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method}},
  Author                   = {Mousavi, SE and Sukumar, N},
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  Year                     = {2010},

  Month                    = dec,
  Number                   = {49-52},
  Pages                    = {3237--3249},
  Volume                   = {199},

  Doi                      = {10.1016/j.cma.2010.06.031},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-integration\_sukumar.pdf:pdf},
  ISSN                     = {00457825},
  Keywords                 = {discontinuous functions,ge\_xfem\_ref,numerical integration,partition-of-unity enrichment,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Publisher                = {Elsevier B.V.},
  Timestamp                = {2014.12.16},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045782510001982}
}

@Article{Natarajan2009,
  Title                    = {{Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping}},
  Author                   = {Natarajan, S and Bordas, SPA and Mahapatra, DR},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2009},
  Number                   = {July},
  Pages                    = {103--134},
  Volume                   = {80},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Schwarz-Christoffel mapping.pdf:pdf},
  Keywords                 = {christoffel mapping,conformal mapping,discontinuities,element method,finite,ge\_xfem\_ref,integration rule,natural element method,numerical integration,polygonal finite element,quadrature,schwarz,wachspress shape functions,xfem},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2589/abstract}
}

@Article{Natarajan2010,
  Title                    = {{Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework}},
  Author                   = {Natarajan, S and Mahapatra, DR and Bordas, SPA},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2010},
  Number                   = {January},
  Pages                    = {269--294},
  Volume                   = {83},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Improved integration 2.pdf:pdf},
  Keywords                 = {conformal mapping,element,extended finite element,ge\_xfem\_ref,generalized finite element method,method,numerical integration,open-source matlab code,paperreferences,partition of unity finite,quadrature,schwarz christoffel,strong discontinuities,weak discontinuities,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28}
}

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  Title                    = {Real-time simulation of surgery by reduced-order modeling and X-FEM techniques},
  Author                   = {Niroomandi, S and Alfaro, I and Gonzalez, D and Cueto, E and Chinesta, Francisco},
  Journal                  = {International journal for numerical methods in biomedical engineering},
  Year                     = {2012},
  Number                   = {5},
  Pages                    = {574--588},
  Volume                   = {28},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.10.06}
}

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  Title                    = {A new cloud-based hp finite element method},
  Author                   = {Oden, JT and Duarte, CA and Zienkiewicz, OC},
  Journal                  = {Computer methods in applied mechanics and engineering},
  Year                     = {1998},
  Number                   = {1},
  Pages                    = {117--126},
  Volume                   = {153},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.07.13}
}

@Article{panetier2010strict,
  Title                    = {Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM},
  Author                   = {Panetier, J and Ladeveze, P and Chamoin, L},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2010},
  Number                   = {6},
  Pages                    = {671--700},
  Volume                   = {81},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.10.04}
}

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  Title                    = {Error estimation and adaptivity for discontinuous failure},
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  Journal                  = {International journal for numerical methods in engineering},
  Year                     = {2009},
  Number                   = {5},
  Pages                    = {528},
  Volume                   = {78},

  Owner                    = {Agathos},
  Timestamp                = {2015.10.04}
}

@Article{Park2009,
  Title                    = {{Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems}},
  Author                   = {Park, K and Pereira, JP and Duarte, CA and Paulino, GH},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2009},
  Number                   = {December 2008},
  Pages                    = {1220--1257},
  Volume                   = {78},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-integration\_3d\_2.pdf:pdf},
  Keywords                 = {bem,boundary element method,branch functions,extended fem,fracture,ge\_xfem\_ref,generalized fem,gfem,mapping method,singular enrichment,weakly singular integration,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2530/abstract}
}

@Article{passieux2013local,
  Title                    = {Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver},
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  Journal                  = {Computational Mechanics},
  Year                     = {2013},
  Number                   = {6},
  Pages                    = {1381--1393},
  Volume                   = {52},

  Owner                    = {Agathos},
  Publisher                = {Springer},
  Timestamp                = {2015.10.06}
}

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  Title                    = {Error estimation for crack simulations using the XFEM},
  Author                   = {Prange, C and Loehnert, S and Wriggers, P},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2012},
  Number                   = {13},
  Pages                    = {1459--1474},
  Volume                   = {91},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.10.04}
}

@Article{Rabczuk2007,
  Title                    = {{A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics}},
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  Journal                  = {Computational Mechanics},
  Year                     = {2007},

  Month                    = mar,
  Number                   = {3},
  Pages                    = {473--495},
  Volume                   = {40},

  Doi                      = {10.1007/s00466-006-0122-1},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Meshfree-3d.pdf:pdf},
  ISSN                     = {0178-7675},
  Keywords                 = {cohesive forces,extended element-free galerkin method,extrinsic partition of,ge\_xfem\_ref,non-linear fracture mechanics,static and dynamic fracture,three-dimensional cracks,unity enrichment,xefg},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://link.springer.com/10.1007/s00466-006-0122-1}
}

@Article{Rabczuk2010,
  Title                    = {{On three-dimensional modelling of crack growth using partition of unity methods}},
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  Number                   = {23-24},
  Pages                    = {1391--1411},
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  Doi                      = {10.1016/j.compstruc.2008.08.010},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/three dimensional crack growth.pdf:pdf},
  ISSN                     = {00457949},
  Keywords                 = {ge\_xfem\_ref,three-dimensional crack initiation and},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Publisher                = {Elsevier Ltd},
  Timestamp                = {2014.12.15},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045794908001909}
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  Title                    = {{Application of domain integral methods using tetrahedral elements to the determination of stress intensity factors}},
  Author                   = {Rajaram, H and Socrate, S and Parks, DM},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2000},

  Month                    = jul,
  Number                   = {5},
  Pages                    = {455--482},
  Volume                   = {66},

  Doi                      = {10.1016/S0013-7944(00)00025-4},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/domain integrals for sifs.pdf:pdf},
  ISSN                     = {00137944},
  Keywords                 = {conservation integrals,finite element analysis,ge\_xfem\_ref,j -integral},
  Mendeley-tags            = {ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.16},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0013794400000254}
}

@Article{Rodenas2008,
  Title                    = {{A recovery-type error estimator for the extended finite element method based on singular+ smooth stress field splitting}},
  Author                   = {R\'{o}denas, JJ and Gonz\'{a}lez-Estrada, OA and Taranc\'{o}n, JE and Fuenmayor, FJ},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2008},
  Number                   = {March},
  Pages                    = {545--571},
  Volume                   = {76},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-error estimator 3.pdf:pdf},
  Keywords                 = {error estimation,extended finite element method,ge\_xfem\_ref,linear elastic fracture mechanics,singular,stress field,superconvergent patch recovery,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2313/abstract}
}

@Article{Rodenas2010,
  Title                    = {{Accurate recovery-based upper error bounds for the extended finite element framework}},
  Author                   = {R\'{o}denas, JJ and Gonz\'{a}lez-Estrada, OA and D\'{\i}ez, P and Fuenmayor, FJ},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2010},

  Month                    = aug,
  Number                   = {37-40},
  Pages                    = {2607--2621},
  Volume                   = {199},

  Doi                      = {10.1016/j.cma.2010.04.010},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-error estimator 4.pdf:pdf},
  ISSN                     = {00457825},
  Keywords                 = {a posteriori error estimation,extended fi nite element,ge\_xfem\_ref,linear elastic fracture mechanics,method,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Publisher                = {Elsevier B.V.},
  Timestamp                = {2014.12.11},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045782510001271}
}

@Article{Simpson2012,
  Title                    = {{A two-dimensional isogeometric boundary element method for elastostatic analysis}},
  Author                   = {Simpson, RN and Bordas, SPA and Trevelyan, J and Rabczuk, T},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2012},
  Pages                    = {87--100},
  Volume                   = {209-212},

  Doi                      = {10.1016/j.cma.2011.08.008},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/BEM-isogeometric.pdf:pdf},
  ISSN                     = {0045-7825},
  Keywords                 = {BEM,boundary element method,ge\_xfem\_ref,isogeometric analysis},
  Mendeley-tags            = {BEM,ge\_xfem\_ref},
  Owner                    = {Agathos},
  Publisher                = {Elsevier B.V.},
  Timestamp                = {2014.12.15},
  Url                      = {http://dx.doi.org/10.1016/j.cma.2011.08.008 http://www.sciencedirect.com/science/article/pii/S0045782511002635}
}

@Article{Simpson2013,
  Title                    = {{An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects}},
  Author                   = {Simpson, RN and Bordas, SPA and Lian, H and Trevelyan, J},
  Journal                  = {Computers \& Structures},
  Year                     = {2013},

  Month                    = mar,
  Pages                    = {2--12},
  Volume                   = {118},

  Doi                      = {10.1016/j.compstruc.2012.12.021},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/BEM-isogeometric implementation.pdf:pdf},
  ISSN                     = {00457949},
  Keywords                 = {BEM,boundary element method,ge\_xfem\_ref,isogeometric analysis},
  Mendeley-tags            = {BEM,ge\_xfem\_ref},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0045794912003355}
}

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  Title                    = {Extraction of stress intensity factors from Irwin's integral using high-order XFEM on triangular meshes},
  Author                   = {Song, G and Waisman, H and Lan, M and Harari, I},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2015},
  Number                   = {3-4},
  Pages                    = {528--550},
  Volume                   = {102},

  Owner                    = {Agathos},
  Publisher                = {Wiley Online Library},
  Timestamp                = {2015.07.04}
}

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  Title                    = {An extended finite element method with higher-order elements for curved cracks},
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  Journal                  = {Computational Mechanics},
  Year                     = {2003},
  Number                   = {1-2},
  Pages                    = {38--48},
  Volume                   = {31},

  Owner                    = {Agathos},
  Publisher                = {Springer},
  Timestamp                = {2015.08.12}
}

@Book{Strang1973,
  Title                    = {An analysis of the finite element method},
  Author                   = {Strang, G and Fix, GJ},
  Publisher                = {Prentice-Hall Englewood Cliffs, NJ},
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  Volume                   = {212},

  Owner                    = {Agathos},
  Timestamp                = {2015.10.04}
}

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  Title                    = {A posteriori error estimation for generalized finite element methods},
  Author                   = {Strouboulis, T and Zhang, L and Wang, D and Babu{\v{s}}ka, I},
  Journal                  = {Computer Methods in Applied Mechanics and Engineering},
  Year                     = {2006},
  Number                   = {9},
  Pages                    = {852--879},
  Volume                   = {195},

  Owner                    = {Agathos},
  Publisher                = {Elsevier},
  Timestamp                = {2015.10.04}
}

@Article{Sukumar2000,
  Title                    = {{Extended finite element method for three-dimensional crack modelling}},
  Author                   = {Sukumar, N and Mo\"{e}s, N and Moran, B and Belytschko, T},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2000},
  Number                   = {November 1999},
  Pages                    = {1549--1570},
  Volume                   = {48},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-3D.pdf:pdf},
  ISBN                     = {0014951053},
  Keywords                 = {elastostatics,extended \"{y}nite element method,ge\_xfem\_ref,local enrichment,partition of unity,planar three-,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/1097-0207(20000820)48:11\%3C1549::AID-NME955\%3E3.0.CO;2-A/abstract}
}

@Article{Tarancon2009,
  Title                    = {{Enhanced blending elements for XFEM applied to linear elastic fracture mechanics}},
  Author                   = {Taranc\'{o}n, JE and Vercher, A and Giner, E and Fuenmayor, FJ},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2009},
  Number                   = {July 2008},
  Pages                    = {126--148},
  Volume                   = {77},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Blending Elements 3.pdf:pdf},
  Keywords                 = {discretization error,extended finite elements,finite elements,fracture,ge\_xfem\_ref,paperreferences,rate of convergence,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09}
}

@Article{Ventura2006,
  Title                    = {{On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method}},
  Author                   = {Ventura, G},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2006},

  Month                    = apr,
  Number                   = {5},
  Pages                    = {761--795},
  Volume                   = {66},

  Doi                      = {10.1002/nme.1570},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Integration.pdf:pdf},
  ISSN                     = {0029-5981},
  Keywords                 = {enriched finite elements,extended finite elements,finite elements,fracture,ge\_xfem\_ref,material discontinuity,paperreferences,quadrature,vector level sets,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.15}
}

@Article{Ventura2009,
  Title                    = {{Fast integration and weight function blending in the extended finite element method}},
  Author                   = {Ventura, G and Gracie, R and Belytschko, T},
  Journal                  = {International journal for numerical methods in engineering},
  Year                     = {2009},
  Number                   = {July 2008},
  Pages                    = {1--29},
  Volume                   = {77},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-Improved integration.pdf:pdf},
  Keywords                 = {blending,enriched finite elements,ge\_xfem\_ref,numerical integration,paperreferences,partition of unity,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.09}
}

@Article{Walters2005,
  Title                    = {{Interaction integral procedures for 3-D curved cracks including surface tractions}},
  Author                   = {Walters, MC and Paulino, GH and Dodds, RH},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2005},

  Month                    = jul,
  Number                   = {11},
  Pages                    = {1635--1663},
  Volume                   = {72},

  Doi                      = {10.1016/j.engfracmech.2005.01.002},
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  ISSN                     = {00137944},
  Keywords                 = {3-d,crack-face traction,curved cracks,ge\_xfem\_ref,interaction integral,mixed-mode stress intensity factors,sif},
  Mendeley-tags            = {ge\_xfem\_ref,sif},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0013794405000160}
}

@Article{Wyart2007,
  Title                    = {{A substructured FE-shell/XFE-3D method for crack analysis in thin-walled structures}},
  Author                   = {Wyart, E and Coulon, D and Duflot, M and Pardoen, T and Remacle, JF and Lani, F},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {2007},
  Number                   = {March},
  Pages                    = {757--779},
  Volume                   = {72},

  Doi                      = {10.1002/nme},
  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/XFEM-substructured 3d.pdf:pdf},
  Keywords                 = {crack analysis,domain decomposition,feti,ge\_xfem\_ref,mixed dimensional,thin-walled,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.11.28},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.2029/abstract}
}

@Article{Wyart2008,
  Title                    = {{Substructuring FE–XFE approaches applied to three-dimensional crack propagation}},
  Author                   = {Wyart, E and Duflot, M and Coulon, D and Martiny, P and Pardoen, T and Remacle, JF and Lani, F},
  Journal                  = {Journal of Computational and Applied Mathematics},
  Year                     = {2008},

  Month                    = jun,
  Number                   = {2},
  Pages                    = {626--638},
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  ISSN                     = {03770427},
  Keywords                 = {feti,fracture mechanics,ge\_xfem\_ref,substructuring methods,x-fem,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.11},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0377042706007758}
}

@Article{Wyart2009,
  Title                    = {{Application of the substructured finite element/extended finite element method (S-FE/XFE) to the analysis of cracks in aircraft thin walled structures}},
  Author                   = {Wyart, E and Coulon, D and Pardoen, T and Remacle, JF and Lani, F},
  Journal                  = {Engineering Fracture Mechanics},
  Year                     = {2009},

  Month                    = jan,
  Number                   = {1},
  Pages                    = {44--58},
  Volume                   = {76},

  Doi                      = {10.1016/j.engfracmech.2008.04.025},
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  ISSN                     = {00137944},
  Keywords                 = {ge\_xfem\_ref,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,xfem},
  Owner                    = {Agathos},
  Publisher                = {Elsevier Ltd},
  Timestamp                = {2014.12.11},
  Url                      = {http://linkinghub.elsevier.com/retrieve/pii/S0013794408001203}
}

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  Title                    = {{Direct evaluation of accurate coefficients of the linear elastic crack tip asymptotic field}},
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  Journal                  = {Fatigue \& Fracture of Engineering Materials \& Structures},
  Year                     = {2003},
  Number                   = {November 2002},
  Pages                    = {719--729},
  Volume                   = {26},

  File                     = {:C$\backslash$:/Users/Agathos/Google Drive/phd-backup/Papers/Direct SIF evaluation.pdf:pdf},
  Keywords                 = {asymptotic field,ge\_xfem\_ref,hce,higher order terms,hybrid crack element,linear elastic crack tip,paperreferences,partition of unity method,point notched bend beam,pum,sif,stress intensity factor,three-,tpb,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.16}
}

@Article{Zamani2012,
  Title                    = {{Cohesive and non-cohesive fracture by higher-order enrichment of XFEM}},
  Author                   = {Zamani, A and Gracie, R and Eslami, MR},
  Journal                  = {International Journal for \ldots},
  Year                     = {2012},
  Number                   = {January},
  Pages                    = {452--483},
  Volume                   = {90},

  Doi                      = {10.1002/nme},
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  Keywords                 = {crack growth,crack tip asymptotic field,direct sifs,ge\_xfem\_ref,gfem,paperreferences,xfem},
  Mendeley-tags            = {ge\_xfem\_ref,paperreferences,xfem},
  Owner                    = {Agathos},
  Timestamp                = {2014.12.16},
  Url                      = {http://onlinelibrary.wiley.com/doi/10.1002/nme.3329/full}
}

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  Title                    = {{The Finite Element Method: its Basis and Fundamentals}},
  Author                   = {Zienkiewicz, OC and Taylor, RL and Zhu, JZ},
  Publisher                = {Elsevier},
  Year                     = {2013},

  Abstract                 = {This chapter is concerned with the accuracy of finite element approximation and the recovery methods to improve it. We also consider the discretization error of the finite element approximation and a posteriori estimates of such error. In particular, we describe two distinct type of a posteriori estimators, recovery-based error estimators and residual-based error estimators. The importance of highly accurate recovery methods in the computation of the recovery-based estimators is discussed. Detailed description of how various recovery methods can be used in the construction of both explicit and implicit residual-based error estimators is presented. The accuracy and robustness of error estimators are analyzed and demonstrated numerically. A brief discuss on error bounds and error estimates for the quantities of interest is also given.},
  Booktitle                = {The Finite Element Method: its Basis and Fundamentals},
  ISSN                     = {00295981},
  Keywords                 = {A posteriori error estimates,Errors,Recovery methods,Recovery-based error estimators,Residual-based error estimators},
  Owner                    = {Agathos},
  Pages                    = {493--543},
  Timestamp                = {2014.12.15},
  Url                      = {http://www.sciencedirect.com/science/article/pii/B9781856176330000150}
}

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  publisher = {Elsevier},
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}

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@Comment{jabref-meta: databaseType:biblatex;}
