Algebraic mesh quality metrics for unstructured initial meshes

Authors:
Patrick M. Knupp
Affiliations:
Parallel Computing Sciences Department, Sandia National Laboratories, M/S 0847, P.O. Box 5800, Albuquerque, NM
Venue:
Finite Elements in Analysis and Design
Year:
2003

Citing 1
Cited 13

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Computational Mechanics

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Abstract

Explicit formulas for size, shape, skew, and combined mesh quality metrics are given for triangular, tetrahedral, quadrilateral, and hexahedral finite elements. The formulas are examples of abstractly defined metrics whose essential properties serve to guide the formulation of effective metrics. Effectiveness is demonstrated via comparisons with other metrics, contour plots, and analysis of particular meshes.