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
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
收藏
页码:1419 / 1443
页数:25
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