A spectral element methodology tuned to parallel implementations

DOI10.1016/S0045-7825(94)80008-1zbMath0841.65096OpenAlexW2077551664MaRDI QIDQ1892444

Faker Ben Belgacem, Yvon Maday

Publication date: 14 June 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80008-1

zbMATH Keywords

domain decompositionparallel computationerror boundsfinite differencesPoisson equationspectral methodssech-weighted differencesconforming spectral element methodpseudo-spectral derivative series

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

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Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• Parallel spectral element solution of the Stokes problem
• Spectral approximation for elliptic boundary value problems
• Approximation results for spectral methods with domain decomposition
• Spectral element methods for large scale parallel Navier-Stokes calculations

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