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
收藏
页码：277 / 295
页数：19
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