Invertible finite elements for robust simulation of large deformation

By Geoffrey Irving, Joseph M. Teran, Ronald Fedkiw. Symposium on Computer Animation, 2004

447 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/d683b29faa657b88bfe60c4027b3c4e5db0dddc3

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Meshless deformations based on shape matching (2005, methodology): “A first contribution to this research area has been presented in [Irving et al. 2004], where large deformations and the inversion of elements in FE approaches can be handled in a robust way.”
A moving least squares material point method with displacement discontinuity and two-way rigid body coupling (2018, methodology): “The goal of breaking mesh connectivity has led to techniques such as local remeshing [O’Brien et al. 2002; O’Brien and Hodgins 1999], the Virtual Node Algorithm (VNA) [Hegemann et al. 2013; Molino et al. 2005; Wang et al. 2014] and the eXtended Finite Element Method (XFEM) [Koschier et al. 2017].”
Efficient elasticity for character skinning with contact and collisions (2011, methodology): “Whereas previous works have addressed many of these concerns individually, e.g., robustness to large deformation in [Irving et al. 2004], high resolution detail [Zhu et al. 2010], and quasistatic simulation [Teran et al. 2005], we present a novel algorithmic framework for the simulation of…”
The material point method for simulating continuum materials (2016, methodology): “It is called “Polar SVD” for historical reasons.”
Animating sand as a fluid (2005, methodology): “fracture. Irving et al.[ 26 ] introduced a more sophisticated plasticity model along”
A material point method for snow simulation (2013, methodology): “[Terzopoulos and Fleischer 1988] pioneered modeling of deformable plasticity and fracture in graphics.”
Constraining dense hand surface tracking with elasticity (2020, methodology): “…the energy density at each tetrahedron, multiplying by the tetrahedron’s rest volume V i , and summing over all tetrahedra according to To handle collisions, we employ a fast, reference-map based penalty approach [Hirota et al. 2001; Irving et al. 2004; McAdams et al. 2011; Smith et al. 2018].”