Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces

被引：81
作者：
Brezzi, F [1 ]
Lipnikov, K
Shashkov, M
机构：
[1] Univ Pavia, Dept Math, I-27100 Pavia, Italy
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2006年 / 16卷 / 02期
关键词：
Finite differences; mimetic discretizations; polyhedral meshes; convergence;
D O I：
10.1142/S0218202506001157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New mimetic finite difference discretizations of diffusion problems on unstructured polyhedral meshes with strongly curved (non-planar) faces are developed. The material properties are described by a full tensor. The optimal convergence estimates, the second order for a scalar variable (pressure) and the first order for a vector variable (velocity), are proved.
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收藏
页码：275 / 297
页数：23
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