Schémas volumes finis sur des triangles couplés avec une analyse multirésolution

Uloženo v:
Podrobná bibliografie
Název: Schémas volumes finis sur des triangles couplés avec une analyse multirésolution
Autoři: Kaber, Sidi Mahmoud, Postel, Marie
Informace o vydavateli: Académie des Sciences, Paris; Elsevier, Paris
Témata: 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
Popis: 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.
Druh dokumentu: Article
Popis souboru: application/xml
DOI: 10.1016/s0764-4442(99)80278-x
Přístupová URL adresa: https://zbmath.org/1334169
Přístupové číslo: edsair.c2b0b933574d..68bd3d1c8c76bbe12e393d8b87f5be57
Databáze: OpenAIRE
Popis
Abstrakt: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