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.
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页码：3274 / 3292
页数：19
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