Analysis of a class of nonconforming finite elements for crystalline microstructures

被引：48
作者：
Kloucek, P
Li, B
Luskin, M
机构：
[1] School of Mathematics, University of Minnesota, Minneapolis, MN 55455
来源：
MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期
关键词：
nonconforming finite element; error estimate; superconvergence; numerical quadrature;
D O I：
10.1090/S0025-5718-96-00735-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An analysis is given for a class of nonconforming Lagrange-type finite elements which have been successfully utilized to approximate the solution of a variational problem modeling the deformation of martensitic crystals with microstructure. These elements were first proposed and analyzed in 1992 by Rannacher and Turek for the Stokes equation. Our analysis highlights the features of these elements which make them effective for the computation of microstructure. New results for superconvergence and numerical quadrature are also given.
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页码：1111 / 1135
页数：25
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