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Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting condition

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In this paper, we present a methodology for stabilizing the virtual element method applied to the convection-diffusion-reaction equation. The stabilization is carried out modifying the mesh inside the boundary layer… Click to show full abstract

In this paper, we present a methodology for stabilizing the virtual element method applied to the convection-diffusion-reaction equation. The stabilization is carried out modifying the mesh inside the boundary layer so that the link-cutting condition is satisfied. The method provides a stable solution to all regimes. Numerical examples are presented for several regimes in which satisfactory results are obtained.

Keywords: convection diffusion; element method; diffusion reaction; link cutting; cutting condition; virtual element

Journal Title: Calcolo
Year Published: 2017

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