Solution-Based Mesh Quality for Triangular and Tetrahedral Meshes.
Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.427-436, October 1997
Computer Science, University of Utah,
On leave from School of Computer Studies, The University, Leeds LS2 9JT
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.
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