ADAPTIVITY AND VARIATIONAL STABILIZATION FOR CONVECTION-DIFFUSION EQUATIONS

被引：91

作者：

Cohen, Albert ^{[1
]}

Dahmen, Wolfgang ^{[2
]}

Welper, Gerrit ^{[2
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75005 Paris, France

[2] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math, D-52056 Aachen, Germany

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2012年 / 46卷 / 05期

关键词：

Variational problems; adaptivity; a-posteriori error estimators; stabilization; WAVELET METHODS; FOSLL-ASTERISK;

D O I：

10.1051/m2an/2012003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose and analyze stable variational formulations for convection diffusion problems starting from concepts introduced by Sangalli. We derive efficient and reliable a posteriori error estimators that are based on these formulations. The analysis of resulting adaptive solution concepts, when specialized to the setting suggested by Sangalli's work, reveals partly unexpected phenomena related to the specific nature of the norms induced by the variational formulation. Several remedies, based on other specifications, are explored and illustrated by numerical experiments.

引用

页码：1247 / 1273

页数：27

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