Solution-Based Mesh Quality for Triangular and Tetrahedral Meshes.

Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.427-436, October 1997

MESHING
RESEARCH
CORNER

M. Berzins
Computer Science, University of Utah,
On leave from School of Computer Studies, The University, Leeds LS2 9JT

Abstract
A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based both on geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that local solution information in the form of scaled derivatives along edges is taken into account. This advantage is demonstrated by a comparison with a geometrical indicator on a parameterized problem.