A family of mimetic finite difference methods on polygonal and polyhedral meshes

被引：298

作者：

Brezzi, F

Lipnikov, K ^{[1
]}

Simoncini, V

机构：

[1] Univ Pavia, Dept Math, Pavia, Italy

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

[3] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy

[4] IMATI CNR, Pavia, Italy

[5] CIRSA, Ravenna, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2005年 / 15卷 / 10期

关键词：

finite difference; compatible discretizations; polyhedral meshes;

D O I：

10.1142/S0218202505000832

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of inexpensive discretization schemes for diffusion problems on unstructured polygonal and polyhedral meshes is introduced. The material properties are described by a full tensor. The theoretical results are confirmed with numerical experiments.

引用

页码：1533 / 1551

页数：19

共 17 条

[1]

[Anonymous], 1965, STRESS ANAL

[2]

Arbogast T, 1998, SIAM J SCI COMPUT, V19, P404, DOI 10.1137/S1064827594264545

[3] MIXED AND NONCONFORMING FINITE-ELEMENT METHODS - IMPLEMENTATION, POSTPROCESSING AND ERROR-ESTIMATES [J].