A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation  

作　　者：Weizhang Huang Lennard Kamenski Robert D.Russell 

机构地区：[1]Department of Mathematics,University of Kansas,Lawrence,KS 66045,U.S.A. [2]Weierstrass Institute for Applied Analysis and Stochastics,Berlin,Germany [3]Department of Mathematics,Simon Fraser University,Burnaby,BC V5A 1S6,Canada

出　　处：《Journal of Mathematical Study》2015年第2期168-186,共19页数学研究（英文）

基　　金：NSF(U.S.A.)through grant DMS-1115118;NSERC(Canada)through grant A8781.

摘　　要：We present a comparative numerical study for three functionals used for variational mesh adaptation.One of them is a generalization ofWinslow’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.

关 键 词：Variational mesh adaptation Mesh adaptation Moving mesh EQUIDISTRIBUTION ALIGNMENT Mesh quality measures 

分 类 号：O17[理学—数学]