Suboptimal and optimal convergence in mixed finite element methods

被引：21

作者：

Demlow, A ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 06期

关键词：

mixed finite element methods; suboptimal convergence; optimal convergence;

D O I：

10.1137/S0036142900376900

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An elliptic partial differential equation may be formulated in different but equivalent ways, and the mixed finite element methods derived from these formulations have different properties. We give general error estimates for two such methods, which are always optimal for the Raviart-Thomas elements, but which are suboptimal for the Brezzi-Douglas-Marini elements in one of the methods. Computational experiments show that this suboptimal estimate is sharp.

引用

页码：1938 / 1953

页数：16