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 coecients. We derive a theoretical convergence analysis of the method and develop a set of numerical tests on a benchmark problem with known solution.
Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes
L Beirao da Veiga;F Brezzi;LD Marini;A Russo
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 coecients. We derive a theoretical convergence analysis of the method and develop a set of numerical tests on a benchmark problem with known solution.File in questo prodotto:
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Descrizione: Mixed virtual element methods for general second order elliptic problems on polygonal meshes
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Descrizione: Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes
Tipologia:
Versione Editoriale (PDF)
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305.28 kB
Formato
Adobe PDF
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305.28 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
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