SUPERCONVERGENCE AND EXTRAPOLATION FOR MIXED FINITE-ELEMENT METHODS ON RECTANGULAR DOMAINS

被引：1

作者：

WANG, JP

机构：

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 194期

关键词：

2ND-ORDER ELLIPTIC EQUATION; FINITE ELEMENT METHOD; ASYMPTOTIC EXPANSION; SUPERCONVERGENCE; RICHARDSON EXTRAPOLATION;

D O I：

10.2307/2008392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic expansions for the RT (Raviart-Thomas) mixed finite element approximation by the lowest-order rectangular element associated with a second-order elliptic equation on a rectangular domain are derived. Super-convergence for the vector field along the Gauss lines is obtained as a result of the expansion. A procedure of postprocessed extrapolation is present for the scalar field, as well as procedures of pure Richardson extrapolation for both the vector and the scalar fields.

引用

页码：477 / 503

页数：27