A posteriori error estimates of finite element methods by preconditioning

被引：4

作者：

Li, Yuwen ^{[1
]}

Zikatanov, Ludmil ^{[1
]}

机构：

[1] Penn State Univ, University Pk, PA 16802 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 91卷

关键词：

PART I; CONVERGENCE; RECOVERY; GRIDS;

D O I：

10.1016/j.camwa.2020.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：192 / 201

页数：10

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