A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation

Authors

  • Weizhang Huang Department of Mathematics, University of Kansas, Lawrence, KS 66045, U.S.A
  • Lennard Kamenski Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
  • Robert D. Russell Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada

DOI:

https://doi.org/10.4208/jms.v48n2.15.04

Keywords:

Variational mesh adaptation, Mesh adaptation, Moving mesh, Equidistribution, Alignment, Mesh quality measures.

Abstract

We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalization of Winslow's variable diffusion functional while the others are based on equidistribution and alignment. These functionals are known to have nice theoretical properties and work well for most mesh adaptation problems either as a stand-alone variational method or combined within the moving mesh framework. Their performance is investigated numerically in terms of equidistribution and alignment mesh quality measures. Numerical results in 2D and 3D are presented.

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Published

2015-06-02

Issue

Vol. 48 No. 2 (2015)

Section

Articles