A Newton-Krylov solver with multiplicative Schwarz preconditioning for finite element compressible flow simulations

DOI10.1002/cnm.495zbMath1009.76048OpenAlexW2107597489MaRDI QIDQ4537593

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Publication date: 1 July 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.495

zbMATH Keywords

finite elementspreconditioningcompressible Navier-Stokes equationsGMRES methodNewton-Krylov solveraccelerated block Gauss-Seidel iterationsmultiplicative Schwarz preconditioningstabilized adaptive finite element approximations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)

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Numerical integration on GPUs for higher order finite elements, Jacobian-free Newton-Krylov methods: a survey of approaches and applications.

Cites Work

• A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
• A multi-element group preconditioned GMRES algorithm for nonsymmetric systems arising in finite element analysis
• An anisotropic \(h\)-adaptive finite element method for compressible Navier-Stokes equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems