Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes
Numerical Analysis
2015-06-25 v1
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.
Cite
@article{arxiv.1506.07328,
title = {Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes},
author = {L. Beirao da Veiga and F. Brezzi and L. D. Marini and A. Russo},
journal= {arXiv preprint arXiv:1506.07328},
year = {2015}
}