Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

被引：220

作者：

Lipnikov, K.

Shashkov, M.

Svyatskiy, D.

Vassilevski, Yu.

机构：

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

[2] Russian Acad Sci, Inst Numer Math, Moscow 117333, Russia

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 227卷 / 01期

关键词：

D O I：

10.1016/j.jcp.2007.08.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider a non-linear finite volume (FV) scheme for stationary diffusion equation. We prove that the scheme monotone, i.e. it preserves positivity of analytical solutions on arbitrary triangular meshes for strongly anisotropic at. heterogeneous full tensor coefficients. The scheme is extended to regular star-shaped polygonal meshes and isotropic heterogeneous coefficients. (C) 2007 Elsevier Inc. All rights reserved.

引用

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页码：492 / 512

页数：21

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