Optimal convergence behavior of adaptive FEM driven by simple (h - h/2)-type error estimators

被引：11

作者：

Erath, Christoph ^{[1
]}

Gantner, Gregor ^{[2
]}

Praetorius, Dirk ^{[2
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Dolivostr 15, D-64293 Darmstadt, Germany

[2] TU Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10-E101-4, A-1040 Vienna, Austria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 79卷 / 03期

基金：

奥地利科学基金会;

关键词：

Finite element method; A posteriori error estimators; Adaptive algorithm; Local mesh-refinement; Optimal convergence rates; DATA OSCILLATION;

D O I：

10.1016/j.camwa.2019.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For some Poisson-type model problem, we prove that adaptive FEM driven by the (h - h/2)-type error estimators from Ferraz-Leite et al. (2010) leads to convergence with optimal algebraic convergence rates. Besides the implementational simplicity, another striking feature of these estimators is that they can provide guaranteed lower bounds for the energy error with known efficiency constant 1. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：623 / 642

页数：20

共 20 条

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