filename     : Kau08.pdf
entry        : inproceedings
conference   : SCA 2008, July 7-9, Dublin, Ireland
pages        : 105-115
year         : 2008
month        : July
title        : Flexible Simulation of Deformable Models Using Discontinuous Galerkin FEM
subtitle     :
author       : Peter Kaufmann and Sebastian Martin and Mario Botsch and Markus Gross
booktitle    : 
ISSN/ISBN    : 
editor       : 
publisher    : Eurographics Association
publ.place   : Aire-la-Ville, Switzerland
volume       : 
issue        : 
language     : english
keywords     : FEM, Discontinuous Galerkin, Deformations, Physically-Based Simulation, Refinement, Cutting
abstract     : We propose a simulation technique for elastically deformable objects based on the discontinuous Galerkin finite
element method (DG FEM). In contrast to traditional FEM, it overcomes the restrictions of conforming basis
functions by allowing for discontinuous elements with weakly enforced continuity constraints. This added flexibility
enables the simulation of arbitrarily shaped, convex and non-convex polyhedral elements, while still using
simple polynomial basis functions. For the accurate strain integration over these elements we propose an analytic
technique based on the divergence theorem. Being able to handle arbitrary elements eventually allows us to derive
simple and efficient techniques for volumetric mesh generation, adaptive mesh refinement, and robust cutting.