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arXiv · 2307.16474

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

Stefano Berrone·Stefano Scialò·Gioana Teora
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Abstract

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.

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Stefano Berrone, Stefano Scialò, Gioana Teora. 2023-07-31. The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom. https://doi.org/10.3934/mine.2023099

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