Reference : Space-time reduced basis approximation and goal-oriented a posteriori error estimati...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/12524
Space-time reduced basis approximation and goal-oriented a posteriori error estimation for wave equation
English
Hoang, Khac Chi mailto []
Kerfriden, Pierre mailto []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Dec-2013
Theory and Application of Model Order Reduction
Yes
Yes
International
5th Asia Pacific Congress on Computational Mechanics
11-12-2013 to 14-12-2013
Singapore
[en] second order wave equation ; reduced basis method ; dual weighted residual method ; goal-oriented error estimation ; dual problem ; POD-Greedy algorithm
[en] We study numerically the linear second order wave equation with an output quantity of interest which is a linear functional of the field variable using reduced basis approximation methods in the space-time domain. The essential new ingredient is the a posteriori error estimation of the output quantity of interest. The technique, which is based on the well-known dual-weighted residual (DWR) method is deployed within a reduced basis approximation context. First, we introduce the reduced basis recipe - Galerkin projection onto a space spanned by the reduced basis functions which are constructed from the solutions of the governing PDE at several selected points in the parameter space. Second, in order to construct these basis functions we propose a new “goal-oriented” Proper Orthogonal Decomposition (POD)-Greedy sampling procedure, which is based on these new a posteriori error estimations. Finally, this a posteriori error estimation is also used to evaluate approximately the quality of many output computations in the online stage within the reduced basis procedure.
Institute of Mechanics and Advanced Materials
FP7
Researchers ; Professionals ; Students ; Others
http://hdl.handle.net/10993/12524
http://www.sci-en-tech.com/apcom2013/APCOM2013-Proceedings/PDF_Abstract/1519_kchoang.pdf
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
KCHoang_Abstract.pdfAuthor preprint179.24 kBView/Open

Additional material(s):

File Commentary Size Access
Open access
APCOM2013_Chi_Slide.pdf986.32 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.