Reference : Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dim...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34900
Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
English
Nguyen-Thanh, N. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
Nguyen-Xuan, H. [Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, VNU, HCM, Viet Nam, Division of Computational Mechanics, Ton Duc Thang University, HCM, Viet Nam]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
2011
Computer Methods in Applied Mechanics & Engineering
200
21-22
1892-1908
Yes (verified by ORBilu)
International
00457825
[en] Isogeometric analysis ; PHT-spline ; T-meshes ; T-spline ; Complex geometries ; Elastic solids ; Finite Element ; Local refinement ; Local support ; Non-negativity ; Numerical example ; Partition of unity ; Polynomial splines ; Shape functions ; Standard finite element ; T-splines ; Function evaluation ; Numerical methods ; Polynomial approximation ; Splines
[en] Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method.
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/34900
10.1016/j.cma.2011.01.018

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
Isogeometric analysis using polynomial splines.pdfPublisher postprint2.09 MBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.