An Element-Based Spectrally Optimized Approximate Inverse Preconditioner for the Euler Equations

DOI10.1137/11083229XzbMath1253.65147OpenAlexW2043216841MaRDI QIDQ3165434

Francis X. Giraldo, Carlos F. Borges, L. E. III Carr

Publication date: 26 October 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/11083229x

zbMATH Keywords

Galerkin methodspectral element methodnumerical examplespreconditioningEuler equationssparse approximate inversenonhydrostatic atmospheric modelChebyshev polynomial methodgeneralized minimum residual (GMRES)stabilized biconjugate gradient (BICGSTAB)

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Spectral methods applied to problems in fluid mechanics (76M22) Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Meteorology and atmospheric physics (86A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Preconditioners for iterative methods (65F08)

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