Mathematical Principles of Anisotropic Mesh Adaptation  

作　　者：Weizhang Huang 

机构地区：[1]Department of Mathematics,University of Kansas,Lawrence,KS 66045,U.S.A

出　　处：《Communications in Computational Physics》2006年第2期276-310,共35页计算物理通讯（英文）

基　　金：supported in part by the NSF under grant DMS-0410545.

摘　　要：Mesh adaptation is studied from the mesh control point of view.Two principles,equidistribution and alignment,are obtained and found to be necessary and sufficient for a complete control of the size,shape,and orientation of mesh elements.A key component in these principles is the monitor function,a symmetric and positive definite matrix used for specifying the mesh information.A monitor function is defined based on interpolation error in a way with which an error bound is minimized on a mesh satisfying the equidistribution and alignment conditions.Algorithms for generating meshes satisfying the conditions are developed and two-dimensional numerical results are presented.

关 键 词：Mesh adaptation anisotropic mesh EQUIDISTRIBUTION ALIGNMENT error analysis finite element 

分 类 号：TN9[电子电信—信息与通信工程]