各向异性插值误差对网格最大角的依赖性分析

摘要

各向异性有限元要求网格满足最大角条件,其插值误差估计中的常数通常依赖于网格单元最大内角的值.通过引入单元的特殊记号,在一般的理论框架下显式地给出插值误差常数对网格单元最大内角的依赖性关系,从而使得各向异性插值误差的估计更加精细.%The anisotropic finite element method requires the mesh to satisfy the maximum angle condition.Where the constant of appearing in interpolation error estimation depends on the maximum interior angle of the elements in mesh. By using some special notations of the mesh element,this paper presents the dependence of interpolation error constant on the maximum interior angle of the mesh element,so that the anisotropic interpolation error estimate is more refined.