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A Finite-Difference Method for the Variable Coefficient Poisson Equation on Hierarchical Cartesian Meshes

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorRAELI, Alice
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorBERGMANN, Michel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
dc.date.issued2017-11-10
dc.identifier.issn0021-9991
dc.description.abstractEnWe consider problems governed by a linear elliptic equation with varying coefficients across internal interfaces. The solution and its normal derivative can undergo significant variations through these internal boundaries. We present a compact finite-difference scheme on a tree-based adaptive grid that can be efficiently solved using a natively parallel data structure. The main idea is to optimize the truncation error of the discretization scheme as a function of the local grid configuration to achieve second-order accuracy. Numerical illustrations are presented in two and three-dimensional configurations. Finite difference method; Hierarchical Cartesian grid; Octree/Quadtree; Variable coefficient Poisson equation 1
dc.language.isoen
dc.publisherElsevier
dc.title.enA Finite-Difference Method for the Variable Coefficient Poisson Equation on Hierarchical Cartesian Meshes
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2017.11.007
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halInformatique [cs]/Calcul parallèle, distribué et partagé [cs.DC]
bordeaux.journalJournal of Computational Physics
bordeaux.page59-77
bordeaux.volume355
bordeaux.peerReviewedoui
hal.identifierhal-01662050
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01662050v1
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