Reference : Weakening the tight coupling between geometry and simulation in isogeometric analysis...
E-prints/Working papers : First made available on ORBilu
Engineering, computing & technology : Mechanical engineering
Computational Sciences
http://hdl.handle.net/10993/31469
Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)
English
Atroshchenko, Elena mailto [University of Chile > Department of Mechanical Engineering]
Xu, Gang mailto [Hangzhou Dianzi University]
Tomar, Satyendra mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Undated
37
No
[en] Isogeometric analysis ; NURBS ; PHT-splines ; patch-test ; adaptive local refinement
[en] This paper presents one approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for approximation of the solution field. The method inherits the main advantage of isogeometric analysis, i.e. preserves the original, exact CAD geometry (for example, given by NURBS), but allows pairing it with an approximation space which is more suitable/flexible for analysis, for example, T-splines, LR-splines, (truncated) hierarchical B-splines, and PHT-splines. This generalization offers the advantage of adaptive local refinement without the need to re-parameterize the domain, and therefore without weakening the link with the CAD model. We demonstrate the use of the method with different choices of the geometry and field splines, and show that, despite the failure of the standard patch test, the optimum convergence rate is achieved for non-nested spaces.
Fonds National de la Recherche - FnR
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/31469
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR ; FNR10318764 > Stéphane Bordas > Fretting fatigue > Multi-Analysis Of Fretting Fatigue Using Physical And VirtualExperiments > 01/07/2016 > 30/06/2019 > 2015

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
GIFT_draft_0.pdfAuthor preprint2.25 MBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.