Issue |
ESAIM: M2AN
Volume 50, Number 3, May-June 2016
Special Issue – Polyhedral discretization for PDE
|
|
---|---|---|
Page(s) | 727 - 747 | |
DOI | https://doi.org/10.1051/m2an/2015067 | |
Published online | 23 May 2016 |
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
1
Dipartimento di Matematica e Applicazioni, Università di
Milano-Bicocca, via Cozzi
57, 20125
Milano,
Italy
2
IMATI del CNR, Via Ferrata 1, 27100
Pavia,
Italy
alessandro.russo@unimib.it
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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