Optimized Schwarz Waveform Relaxation for Nonlinear Systems of Parabolic Type

DOI10.1007/978-3-319-05789-7_3zbMath1382.65302OpenAlexW56088985MaRDI QIDQ3133615

Florian Häberlein, Laurence Halpern

Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_3

zbMATH Keywords

convergencefinite volume methodnumerical experimentsSchwarz waveform relaxation algorithmNewton algorithmadvection-diffusion-reaction systemnonlinear reactive systemsRobin and Ventcell transmission operators

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations ⋮ On the choice of Robin parameters for the optimized Schwarz method for domains with non-conforming heterogeneities ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle ⋮ Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method

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