MIXED VIRTUAL ELEMENT METHODS FOR GENERAL SECOND ORDER ELLIPTIC PROBLEMS ON POLYGONAL MESHES

被引：161
|
作者：
da Veiga, Lourenco Beirao [1 ,2 ]
Brezzi, Franco [2 ]
Marini, Luisa Donatella [2 ,3 ]
Russo, Alessandro [1 ,2 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 57, I-20125 Milan, Italy
[2] CNR, IMATI, Via Ferrata 1, I-27100 Pavia, Italy
[3] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2016年 / 50卷 / 03期
关键词：
Mixed Virtual Element Methods; elliptic problems; FINITE-DIFFERENCE METHOD; MIMETIC DISCRETIZATIONS; DISCONTINUOUS GALERKIN; DIFFUSION-PROBLEMS; ARBITRARY-ORDER; STOKES PROBLEM; ERROR; CONSTRUCTION; FORMULATION; SCHEMES;
D O I：
10.1051/m2an/2015067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we introduce a Virtual Element Method (VEM) for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable coefficients. We derive a theoretical convergence analysis of the method and develop a set of numerical tests on a benchmark problem with known solution.
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页码：727 / 747
页数：21
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