A POSTERIORI ERROR ESTIMATES FOR THE STATIONARY NAVIER-STOKES EQUATIONS WITH DIRAC MEASURES

被引：7

作者：

Allendes, Alejandro ^{[1
]}

Otarola, Enrique ^{[1
]}

Salgado, Abner J. ^{[2
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso 2390123, Chile

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2020年 / 42卷 / 03期

关键词：

a posteriori error estimates; Navier-Stokes equations; Dirac measures; Mucken-houpt weights; DOMAINS; APPROXIMATION; INEQUALITIES; POISSON; SPACES;

D O I：

10.1137/19M1292436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations of the stationary Navier-Stokes equations with singular sources on Lipschitz, but not necessarily convex, polygonal domains. Under a smallness assumption on the continuous and discrete solutions, we prove that the devised error estimator is reliable and locally efficient. We illustrate the theory with numerical examples.

引用

页码：A1860 / A1884

页数：25

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