In the present paper we construct virtual element spaces that are H(div)-conforming and H(curl)-conforming on general polygonal and polyhedral elements; these spaces can be interpreted as a generalization of well known finite elements. We moreover present the basic tools needed to make use of these spaces in the approximation of partial differential equations. Finally, we discuss the construction of exact sequences of VEM spaces.

H(div) and H(curl)-conforming virtual element methods

MARINI, LUISA DONATELLA;
2016

Abstract

In the present paper we construct virtual element spaces that are H(div)-conforming and H(curl)-conforming on general polygonal and polyhedral elements; these spaces can be interpreted as a generalization of well known finite elements. We moreover present the basic tools needed to make use of these spaces in the approximation of partial differential equations. Finally, we discuss the construction of exact sequences of VEM spaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/1122862
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