Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes

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.

References in corpus (1)

• A Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device

Cited by in corpus (3)

• A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
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