ERROR ANALYSIS FOR A MIMETIC DISCRETIZATION OF THE STEADY STOKES PROBLEM ON POLYHEDRAL MESHES

被引：38

作者：

da Veiga, L. Beirao ^{[2
]}

Lipnikov, K. ^{[1
]}

Manzini, G. ^{[3
]}

机构：

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

[2] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

[3] CNR, IMATI, I-27100 Pavia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2010年 / 48卷 / 04期

关键词：

Stokes equation; mimetic finite difference method; polyhedral mesh; FINITE-DIFFERENCE METHOD; DIFFUSION-PROBLEMS; VOLUME METHOD; CONVERGENCE ANALYSIS; APPROXIMATION; ESTIMATOR;

D O I：

10.1137/090757411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes.

引用

页码：1419 / 1443

页数：25

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