The finite volume formulation for 2D second-order elliptic problems with discontinuous diffusion/dispersion coefficients
type: Item
instance of: scholarly article
title: The finite volume formulation for 2D second-order elliptic problems with discontinuous diffusion/dispersion coefficients
zbMATH Open document ID: 1264.65175
DOI: 10.1155/2012/187634
author: Stefano Ferraris
author: Ivan Bevilacqua
author: Davide Canone
author: Davide Pognant
author: Maurizio Previati
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We propose a finite volume method for the numerical resolution of two-dimensional steady diffusion problems with possibly discontinuous coefficients on unstructured polygonal meshes. Our numerical method is cell-centered, second order accurate on smooth solutions and based on a special numerical treatment of the diffusion/dispersion coefficients that makes its application possible also when such coefficients are discontinuous. Numerical experiments confirm the convergence of the numerical approximation and show a good behavior on a set of benchmark problems in two space dimensions.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 76M12
zbMATH DE Number: 6173085
Wikidata QID: Q58911282
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/187634
OpenAlex ID: W1984762792
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description: scientific article; zbMATH DE number 6173085