MIMETIC FINITE DIFFERENCES FOR ELLIPTIC PROBLEMS

被引：159

作者：

Brezzi, Franco ^{[1
]}

Buffa, Annalisa

Lipnikov, Konstantin ^{[2
]}

机构：

[1] Ist Univ Studi Super, Pavia, Italy

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

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2009年 / 43卷 / 02期

关键词：

Finite differences; polyhedral meshes; diffusion equation; error estimates; POLYHEDRAL MESHES; DIFFUSION-PROBLEMS; CONVERGENCE; FAMILY;

D O I：

10.1051/m2an:2008046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent II(1) norm are derived.

引用

页码：277 / 295

页数：19

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