Analysis of a stabilized finite element method for fluid flows through a porous interface

被引：2
|
作者：
Caiazzo, Alfonso [1 ,2 ]
Fernandez, Miguel A. [2 ]
Martin, Vincent [2 ,3 ]
机构：
[1] Weierstr Inst, D-10117 Berlin, Germany
[2] INRIA Paris Rocquencourt, F-78153 Le Chesnay, France
[3] LMAC, UTC, F-60205 Compiegne, France
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 12期
关键词：
Stokes equation; Porous interface; Stabilized finite element method; STOKES;
D O I：
10.1016/j.aml.2011.06.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the numerical simulation of an incompressible fluid through a porous interface, modeled as a macroscopic resistive interface term in the Stokes equations. We improve the results reported in [M.A. Fernandez, J.-F. Gerbeau, V. Martin, Numerical simulation of blood flows through a porous interface, Math. Model. Num. Anal. (M2AN) 42 (6) (2008) 961-990], by showing that the standard Pressure Stabilized Petrov-Galerkin (PSPG) finite element method is stable, and optimally convergent, without the need for controlling the pressure jump across the interface. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2124 / 2127
页数：4
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