Optimal multigrid convergence by elliptic/hyperbolic splitting

DOI10.1016/S0021-9991(03)00253-5zbMath1027.65132OpenAlexW2117800469WikidataQ57406385 ScholiaQ57406385MaRDI QIDQ1408418

Bram van Leer, Hiroaki Nishikawa

Publication date: 15 September 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00253-5

zbMATH Keywords

numerical examplefinite volume methodEuler equationsmultigrid methodgas dynamicsPreconditioningConvergence accelerationelliptic/hyperbolic decomposition

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• A new multigrid approach to convection problems
• Design criteria for local Euler preconditioning
• A robust multigrid algorithm for the Euler equations with local preconditioning and semi-coarsening
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