Flexible Simulation of Deformable Models Using Discontinuous Galerkin FEM

Kaufmann, Peter; Martin, Sebastian; Botsch, Mario; Gross, Markus

Flexible Simulation of Deformable Models Using Discontinuous Galerkin FEM

Files

105-115.pdf (365.22 KB)

deformable-models-using-dg-fem.mov (49.87 MB)

Date

2008

Authors

Kaufmann, Peter
Martin, Sebastian
Botsch, Mario
Gross, Markus

Publisher

The Eurographics Association

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

        @inproceedings{:10.2312/SCA/SCA08/105-115
,
booktitle = {Eurographics/SIGGRAPH Symposium on Computer Animation
},
editor = {Markus Gross and Doug James
},
title = {{Flexible Simulation of Deformable Models Using Discontinuous Galerkin FEM
}},
author = {Kaufmann, Peter and 
Martin, Sebastian and 
Botsch, Mario and 
Gross, Markus
},
year = {2008
},
publisher = {The Eurographics Association
},
ISSN = {1727-5288
},
ISBN = {978-3-905674-10-1
},
DOI = {/10.2312/SCA/SCA08/105-115
}
}