Edge-Averaged Virtual Element Methods for Convection-Diffusion and Convection-Dominated Problems
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DOI: 10.1007/s10915-025-02984-0
Abstract: This paper develops edge-averaged virtual element (EAVE) methodologies to address convection-diffusion problems effectively in the convection-dominated regime. It introduces a variant of EAVE that ensures monotonicity (producing an M-matrix) on Voronoi polygonal meshes, provided their… read more here.
Keywords: averaged virtual; edge averaged; convection; convection diffusion ... See more keywords