The mimetic finite difference method on polygonal meshes for diffusion-type problems

被引：67

作者：

Kuznetsov, Y

Lipnikov, K

Shashkov, M

机构：

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

[2] Univ Houston, Dept Math, Houston, TX 77204 USA

来源：

COMPUTATIONAL GEOSCIENCES | 2004年 / 8卷 / 04期

关键词：

diffusion equation; locally conservative method; mimetic discretization;

D O I：

10.1007/s10596-004-3771-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

New mimetic discretizations of diffusion-type equations (for instance, equations modeling single phase Darcy flow in porous media) on unstructured polygonal meshes are derived. The first order convergence rate for the fluid velocity and the second-order convergence rate for the pressure on polygonal, locally refined and non-matching meshes are demonstrated with numerical experiments.

引用

收藏

页码：301 / 324

页数：24

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