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

被引：145

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.

引用

页码：727 / 747

页数：21

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