A family of nonconforming elements for the Brinkman problem

被引：56

作者：

Guzman, Johnny ^{[2
]}

Neilan, Michael ^{[1
,3
]}

机构：

[1] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[3] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2012年 / 32卷 / 04期

基金：

美国国家科学基金会;

关键词：

nonconforming finite element methods; Brinkman; Darcy-Stokes; mixed method; MIXED FINITE-ELEMENTS; NAVIER-STOKES; FLOW; H(DIV);

D O I：

10.1093/imanum/drr040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and analyse a new family of nonconforming elements for the Brinkman problem of porous media flow. The corresponding finite element methods are robust with respect to the limiting case of Darcy flow, and the discretely divergence-free functions are in fact divergence-free. Therefore, in the absence of sources and sinks, the method is strongly mass-conservative. We also show how the proposed elements are part of a discrete de Rham complex.

引用

页码：1484 / 1508

页数：25

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