HIERARCHICAL A POSTERIORI ERROR ESTIMATORS FOR THE MIMETIC DISCRETIZATION OF ELLIPTIC PROBLEMS

被引：24

作者：

Antonietti, Paola F. ^{[1
]}

da Veiga, Lourenco Beirao ^{[2
]}

Lovadina, Carlo ^{[3
]}

Verani, Marco ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, MOX, I-20133 Milan, Italy

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

[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2013年 / 51卷 / 01期

关键词：

mimetic finite difference method; a posteriori error estimators; adaptive algorithms; FINITE-DIFFERENCE METHODS; POLYHEDRAL MESHES; DIFFUSION-PROBLEMS; CONVERGENCE; EQUATIONS; APPROXIMATION; ELEMENTS;

D O I：

10.1137/120873157

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an a posteriori error estimate of hierarchical type for the mimetic discretization of elliptic problems. Under a saturation assumption, the global reliability and efficiency of the proposed a posteriori estimator are proved. Several numerical experiments assess the actual performance of the local error indicators in driving adaptive mesh refinement algorithms based on different marking strategies. Finally, we analyze and test an inexpensive variant of the proposed error estimator which drastically reduces the overall computational cost of the adaptive procedures.

引用

页码：654 / 675

页数：22

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