An adaptive residual local projection finite element method for the Navier-Stokes equations

被引：8

作者：

Araya, Rodolfo ^{[1
,2
]}

Poza, Abner H. ^{[3
]}

Valentin, Frederic ^{[4
]}

机构：

[1] Univ Concepcion, CI2MA, Concepcion, Chile

[2] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[3] Univ Catolica Santisima Concepcion, Fac Ingn, Concepcion, Chile

[4] Natl Lab Sci Comp LNCC, Dept Appl Math, BR-25651070 Petropolis, RJ, Brazil

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2014年 / 40卷 / 5-6期

关键词：

Navier-Stokes equations; Stabilized finite element methods; A posteriori error estimates; POSTERIORI ERROR ESTIMATORS;

D O I：

10.1007/s10444-014-9343-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work proposes and analyses an adaptive finite element scheme for the fully non-linear incompressible Navier-Stokes equations. A residual a posteriori error estimator is shown to be effective and reliable. The error estimator relies on a Residual Local Projection (RELP) finite element method for which we prove well-posedness under mild conditions. Several well-established numerical tests assess the theoretical results.

引用

页码：1093 / 1119

页数：27

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