A complete analysis for some A Posteriori error estimates with the finite element method of lines for a nonlinear parabolic equation

被引：2

作者：

Tran, T ^{[1
]}

Duong, TB ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2002年 / 23卷 / 7-8期

关键词：

nonlinear parabolic equations; finite element; method of lines; A Posteriori error estimates;

D O I：

10.1081/NFA-120016275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimates for semidiscrete finite element methods for a nonlinear parabolic initial-boundary value problem are considered. The error estimates are obtained by solving local parabolic or elliptic equations for corrections to the solution on each element. The convergence results improve previous results where unnecessary assumptions are imposed on the approximate solution and the elliptic projection of the exact solution.

引用

页码：891 / 909

页数：19

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