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Flexible Simulation of Deformable Models using Discontinuous Galerkin FEM

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.

Flexible Simulation of Deformable Models using Discontinuous Galerkin FEM

Posted by christopherbatty on May 25th, 2008 Posted in Deformables

2 Comments

  1. P. Kaufmann says:
    July 23, 2008 at 6:12 am

    Note that the above link is no longer valid. More information about this paper can be found here:

    http://graphics.ethz.ch/research/physics/dgfem.php

  2. animationphysics says:
    August 3, 2008 at 2:06 pm

    Updated the link.

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