An a posteriori error estimate and a comparison theorem for the nonconforming P 1 element

被引：19

作者：

Braess, Dietrich ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fac Math, D-44780 Bochum, Germany

来源：

CALCOLO | 2009年 / 46卷 / 02期

关键词：

Hypercircle method; Crouzeix-Raviart element; Raviart-Thomas element;

D O I：

10.1007/s10092-009-0003-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimates for the nonconforming P (1) element are easily determined by the hypercircle method via Marini's observation on the relation to the mixed method of Raviart-Thomas. Another tool is Ainsworth's application of the hypercircle method to mixed methods. The relation on the finite element solutions is also extended to an a priori relation of the errors, and the errors of four different finite element methods can be compared.

引用

页码：149 / 155

页数：7

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