International Journal for Numerical Methods in Engineering · 2000 · 165 citations · 23 references
Natural SciencesComputer ScienceMathematicsComputational GeometryFinite Element AnalysisGeometryFinite GeometryGeometry ProcessingMesh ModelingShape AnalysisShape MetricsShape RepresentationFinite Element Mesh QualityMesh Quality MetricsMesh RepresentationMesh Visualization
This paper reviews geometric measures used to assess the shape of finite elements in two- and three-dimensional meshes. Measures have been normalized and made scale invariant whenever possible. This paper also introduces a Universal Similarity Region that enhances comparisons of triangles and their measures. As a byproduct, the USR provides a dynamic way to compare improved triangular meshes. Copyright © 2000 John Wiley & Sons, Ltd.
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An Analysis of the Finite Element Method
E. I., Gilbert Strang, George J. Fix · Mathematics of Computation · 1974 · 3.5K citations
Computing, Computational Engineering, Mechanical Engineering +12
Splines and Variational Methods.
L. B. W., P. M. Prenter · Mathematics of Computation · 1991 · 1.1K citations