Robust Treatment of Degenerate Elements in Interactive Corotational FEM Simulations

We address the problem of robust and efficient treatment of element collapse and inversion in corotational FEM simulations of deformable objects in two and three dimensions, and show that existing degeneration treatment methods have previously unreported flaws that seriously threaten robustness and...

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Vydáno v:	Computer graphics forum Ročník 33; číslo 6; s. 298 - 309
Hlavní autoři:	Civit-Flores, O, Susin, A
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	Oxford Blackwell Publishing Ltd 01.09.2014
Témata:	Analysis Aplicacions Categories and Subject Descriptors (according to ACM CCS): I.6.8 [Simulation and Modelling]: Types of Simulation Animation Categories and Subject Descriptors (according to ACM CCS): I.6.8 [Simulation and Modelling]: Types of Simulation Animation; I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling Physically based modelling; I.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism Animation and Virtual Reality Computer graphics DECOMPOSITION deformable objects Elements finits, Mètode dels Finite element method I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling Physically based modelling I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism Animation and Virtual Reality interactive simulation Matemàtiques i estadística Simulació per ordinador Simulation Studies Topological manifolds Àrees temàtiques de la UPC
ISSN:	0167-7055, 1467-8659
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Popis
Shrnutí:	We address the problem of robust and efficient treatment of element collapse and inversion in corotational FEM simulations of deformable objects in two and three dimensions, and show that existing degeneration treatment methods have previously unreported flaws that seriously threaten robustness and physical plausibility in interactive applications. We propose a new method that avoids such flaws, yields faster and smoother degeneration recovery and extends the range of well‐behaved degenerate configurations without adding significant complexity or computational cost to standard explicit and quasi‐implicit solvers. We address the problem of robust and efficient treatment of element collapse and inversion in Corotational FEM simulations of deformable objects in 2D and 3D, and show that existing degeneration treatment methods have previously unreported flaws that seriously threaten robustness and physical plausibility in interactive applications. We propose a new method that avoids such flaws, yields faster and smoother degeneration recovery and extends the range of well‐behaved degenerate configurations without adding significant complexity or computational cost to standard explicit and quasi‐implicit solvers.
Bibliografie:	ark:/67375/WNG-JR9GNH82-M Video S1 Research Project - No. TIN2010-20590-C02-01 ArticleID:CGF12351 istex:906457DE4694A6B09D9850DFF66AAE9A1610ED0F SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	0167-7055 1467-8659
DOI:	10.1111/cgf.12351