A posteriori error estimates for H1-Galerkin mixed finite-element method for parabolic problems

被引：3

作者：

Tripathy, Madhusmita ^{[1
]}

Sinha, Rajen Kumar ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 04期

关键词：

parabolic problems; H-1-Galerkin mixed finite-element method; semidiscrete; fully discrete; a posteriori error estimates; DISCRETIZATIONS; ALGORITHM;

D O I：

10.1080/00036811.2011.643783

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to derive a posteriori error estimates for the H 1-Galerkin mixed finite element method for parabolic problems. We study both semidiscrete and fully discrete a posteriori error analyses using standard energy argument. A fully discrete a posteriori error analysis based on the backward Euler method is analysed and upper bounds for the errors are derived. The estimators yield upper bounds for the errors which are global in space and time. Our analysis is based on residual approach and the estimators are free from edge residuals.

引用

页码：855 / 868

页数：14

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