Schémas volumes finis sur des triangles couplés avec une analyse multirésolution

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Bibliographic Details
Title: Schémas volumes finis sur des triangles couplés avec une analyse multirésolution
Authors: Kaber, Sidi Mahmoud, Postel, Marie
Publisher Information: Académie des Sciences, Paris; Elsevier, Paris
Subject Terms: hyperbolic conservation law, multiresolution, finite volume scheme, algorithm, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical experiments
Description: Summary: A multiresolution procedure is used to reduce the costs of flux evaluations in a finite volume scheme. A two-dimensional hyperbolic conservation law is solved on the finest grid among a hierarchy of nested grids. The mean values of the solution on triangles of a given grid are estimated from the coarser level using an original reconstruction algorithm. The size of the differences between the mean values and their reconstruction is a local regularity criterium and dictates the choice of the flux computation method. Numerical experiments with computing time comparisons are presented.
Document Type: Article
File Description: application/xml
DOI: 10.1016/s0764-4442(99)80278-x
Access URL: https://zbmath.org/1334169
Accession Number: edsair.c2b0b933574d..68bd3d1c8c76bbe12e393d8b87f5be57
Database: OpenAIRE
Description
Abstract:Summary: A multiresolution procedure is used to reduce the costs of flux evaluations in a finite volume scheme. A two-dimensional hyperbolic conservation law is solved on the finest grid among a hierarchy of nested grids. The mean values of the solution on triangles of a given grid are estimated from the coarser level using an original reconstruction algorithm. The size of the differences between the mean values and their reconstruction is a local regularity criterium and dictates the choice of the flux computation method. Numerical experiments with computing time comparisons are presented.
DOI:10.1016/s0764-4442(99)80278-x