Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions

Abstract

The authors study the use of the virtual element method (VEM for short) of order k for general second order elliptic problems with variable coefficients in three space dimensions. Moreover, they investigate numerically also the serendipity version of the VEM and the associated computational gain in terms of degrees of freedom.

Keywords

Virtual element methods / Polyhedral decompositions / Linear elliptic problems / Serendipity

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