Volume 50, Number 3, May-June 2016
Special Issue – Polyhedral discretization for PDE
|Page(s)||727 - 747|
|Published online||23 May 2016|
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
Dipartimento di Matematica e Applicazioni, Università di
Milano-Bicocca, via Cozzi
2 IMATI del CNR, Via Ferrata 1, 27100 Pavia, Italy
3 Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy
Received: 12 April 2015
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.
Mathematics Subject Classification: 65N30
Key words: Mixed Virtual Element Methods / elliptic problems
© EDP Sciences, SMAI 2016
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