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TitleFinite volume scheme based on cell-vertex reconstructions for anisotropic diffusion problems with discontinuous coefficients
Author(s)Costa, Ricardo
Clain, Stéphane
Machado, Gaspar J.
KeywordsFinite volume
Anisotropic diffusion
non-homogeneous and anisotropic diffusion
Issue dateJul-2014
PublisherSpringer International Publishing AG
JournalLecture Notes in Computer Science
Abstract(s)We propose a new second-order finite volume scheme for non-homogeneous and anisotropic diffusion problems based on cell to vertex reconstructions involving minimization of functionals to provide the coefficients of the cell to vertex mapping. The method handles complex situations such as large preconditioning number diffusion matrices and very distorted meshes. Numerical examples are provided to show the effectiveness of the method.
TypeConference paper
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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