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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Bibliographic Details
Published in:Computer graphics forum Vol. 33; no. 6; pp. 298 - 309
Main Authors: Civit-Flores, O, Susin, A
Format: Journal Article Publication
Language:English
Published: Oxford Blackwell Publishing Ltd 01.09.2014
Subjects:
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
Online Access:Get full text
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Description
Summary: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.
Bibliography: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