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.
BEIRAO DA VEIGA, L., Brezzi, F., Marini, L., Russo, A. (2016). Mixed virtual element methods for general second order elliptic problems on polygonal meshes. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 50(3), 727-747 [10.1051/m2an/2015067].
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
BEIRAO DA VEIGA, LOURENCO;RUSSO, ALESSANDRO
2016
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.
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