Mixed virtual element methods for general second order elliptic problems on polygonal meshes

L. Beirão da Veiga, Franco Brezzi, L. D. Marini, A. Russo

Type: Article

Publication Date: 2015-09-28

Citations: 196

DOI: https://doi.org/10.1051/m2an/2015067

Abstract

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.

Locations

ESAIM Mathematical Modelling and Numerical Analysis - View - PDF
arXiv (Cornell University) - View - PDF
Springer Link (Chiba Institute of Technology) - View - PDF
French digital mathematics library (Numdam) - View - PDF

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