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Robust Treatment of Degenerate Elements in Interactive Corotational FEM Simulations
Author(s) -
CivitFlores O.,
Susín A.
Publication year - 2014
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.12351
Subject(s) - robustness (evolution) , finite element method , degenerate energy levels , computer science , range (aeronautics) , computational science , computational complexity theory , algorithm , mathematical optimization , mathematics , structural engineering , physics , engineering , aerospace engineering , biochemistry , chemistry , quantum mechanics , gene
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.