Robust Quasistatic Finite Elements and Flesh Simulation

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dc.contributor.authorTeran, Josephen_US
dc.contributor.authorSifakis, Eftychiosen_US
dc.contributor.authorIrving, Geoffreyen_US
dc.contributor.authorFedkiw, Ronalden_US
dc.contributor.editorD. Terzopoulos and V. Zordan and K. Anjyo and P. Faloutsosen_US
dc.date.accessioned2014-01-29T07:12:28Z
dc.date.available2014-01-29T07:12:28Z
dc.date.issued2005en_US
dc.description.abstractQuasistatic and implicit time integration schemes are typically employed to alleviate the stringent time step restrictions imposed by their explicit counterparts. However, both quasistatic and implicit methods are subject to hidden time step restrictions associated with both the prevention of element inversion and the effects of discontinuous contact forces. Furthermore, although fast iterative solvers typically require a symmetric positive definite global stiffness matrix, a number of factors can lead to indefiniteness such as large jumps in boundary conditions, heavy compression, etc. We present a novel quasistatic algorithm that alleviates geometric and material indefiniteness allowing one to use fast conjugate gradient solvers during Newton-Raphson iteration. Additionally, we robustly compute smooth elastic forces in the presence of highly deformed, inverted elements alleviating artificial time step restrictions typically required to prevent such states. Finally, we propose a novel strategy for treating both collision and self-collision in this context.en_US
dc.description.seriesinformationSymposium on Computer Animationen_US
dc.identifier.isbn1-59593-198-8en_US
dc.identifier.issn1727-5288en_US
dc.identifier.urihttps://doi.org/10.2312/SCA/SCA05/181-190en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling Physically based modeling; I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism Animationen_US
dc.titleRobust Quasistatic Finite Elements and Flesh Simulationen_US
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SCA 05: Eurographics/SIGGRAPH Symposium on Computer Animation