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A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation

Year:    2015

Author:    Weizhang Huang, Lennard Kamenski, Robert D. Russell

Journal of Mathematical Study, Vol. 48 (2015), Iss. 2 : pp. 168–186

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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Mathematical Study, Vol. 48 (2015), Iss. 2 : pp. 168–186

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Variational mesh adaptation Mesh adaptation Moving mesh Equidistribution Alignment Mesh quality measures.

Author Details

Weizhang Huang

Lennard Kamenski

Robert D. Russell

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