p-Version Mesh Generation Issues

Proceedings, 11th International Meshing Roundtable, Sandia National Laboratories, pp.343-354, September 15-18 2002

MESHING
RESEARCH
CORNER

11th International Meshing Roundtable
Ithaca, New York, USA
September 15-18, 2002

Xiao-Juan Luo, Mark S. Shephard, Jean-Francois Remacle
Scientific Computation Research Center,
Rensselaer Polytechnic Institute, Troy, NY 12810,
xluo@scorec.rpi.edu, shephard@scorec.rpi.edu, remacle@scorec.rpi.edu

Robert M. OBara, Mark W. Beall
Simmetrix, Inc., Clifton park, NY 12065
obara@simmetrix.com, mbeall@simmetrix.com

Barna Szabo
Washington University, St. Louis, MO 63130
szabo@me.wustl.edu

Ricardo Actis
Engineering Software Research and Development, Inc.,
St. Louis, Missouri
ricardo@esrd.com

Abstract
Higher order (p-version) finite element methods have been shown to be clearly superior to low order finite element methods when properly applied. However, realization of the full benefits of p-version finite elements for general 3-D geometries requires the careful construction and control of the mesh. A 2-D elasticity problem with curved boundary is used to clearly illustrate the influence of the mesh shape geometric approximation order and shape representation method on the accuracy of finite element solution in a p-version analysis. Consideration is then given to a new approach for the representation of mesh geometry for p-ver- sion meshes and to the automatic generation of p-version meshes.

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