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.