Mixed Variational Finite Elements for Implicit, General-Purpose Simulation of Deformables

Ty Trusty; Danny M. Kaufman; David I W Levin

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arXiv · 2202.00183

Mixed Variational Finite Elements for Implicit, General-Purpose Simulation of Deformables

Ty Trusty·Danny M. Kaufman·David I W Levin

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Abstract

We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating projections solver with a superset of the desirable properties of many previous fast solution strategies. This framework fits a range of elastic constitutive models and remains stable across a wide span of timestep sizes, material parameters (including problems that are quasi-static and approximately rigid). It is efficient to evaluate and easily applicable to volume, surface, and rods models. We demonstrate the efficacy of our approach on a number of simulated examples across all three codomains.

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BibTeX RIS

Ty Trusty, Danny M. Kaufman, David I W Levin. 2022-02-01. Mixed Variational Finite Elements for Implicit, General-Purpose Simulation of Deformables. https://arxiv.org/abs/2202.00183

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