The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom

07/31/2023

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by   Stefano Berrone, et al.

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In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze the performances of different approaches which are characterized by different sets of both boundary and internal degrees of freedom in presence of a strong anisotropy of the diffusion tensor with constant or variable coefficients. A new definition of the boundary degrees of freedom is also proposed and tested.