Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces

被引：27

作者：

Riviere, Beatrice

Girault, Vivette

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 25-28期

关键词：

Stokes; Navier-Stokes; hanging nodes; NIPG; SIPG; driven cavity; backstep channel;

D O I：

10.1016/j.cma.2005.06.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, an improved inf-sup condition is derived for a class of discontinuous Galerkin methods for solving the steady-state incompressible Stokes and Navier-Stokes equations. The computational domain is subdivided into subdomains with non-matching meshes at the interfaces. Optimal error estimates are obtained. Numerical experiments including two benchmark problems are presented. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3274 / 3292

页数：19

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