A family of three-dimensional virtual elements with applications to magnetostatic

27 Apr 2018 da Veiga L. Beirão Brezzi F. Dassi F. Marini L. D. Russo A.

We consider, as a simple model problem, the application of Virtual Element Methods (VEM) to the linear Magnetostatic three-dimensional problem in the formulation of F. Kikuchi. In doing so, we also introduce new serendipity VEM spaces, where the serendipity reduction is made only on the faces of a general polyhedral decomposition (assuming that internal degrees of freedom could be more easily eliminated by static condensation)... (read more)

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