Superconvergence of mixed finite element approximations over quadrilaterals

被引：81

作者：

Ewing, RE ^{[1
]}

Liu, MM

Wang, JP

机构：

[1] Texas A&M Univ, Inst Sci Computat, College Stn, TX 77843 USA

[2] Univ Wyoming, Inst Sci Computat, Laramie, WY 82071 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 03期

关键词：

superconvergence; mixed finite element method;

D O I：

10.1137/S0036142997322801

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A superconvergence result is established in this article for approximate solutions of second-order elliptic equations by mixed finite element methods over quadrilaterals. The superconvergence indicates an accuracy of O (h(k+2)) for the mixed finite element approximation if the Raviart-Thomas or Brezzi-Douglas-Fortin-Marini elements of order k are employed with optimal error estimate of O (h(k+1)). Numerical experiments are presented to illustrate the theoretical result.

引用

页码：772 / 787

页数：16

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