Schwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations

DOI10.1007/978-3-642-11304-8_27zbMath1217.65185OpenAlexW187153478MaRDI QIDQ2998427

Martin J. Gander, Laurence Halpern, Filipa Caetano, Jérémie Szeftel

Publication date: 18 May 2011

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

Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_27

zbMATH Keywords

numerical examplesparallel algorithmssemilinear reaction diffusion equationsnonlinear transmission conditionsSchwarz waveform relaxation algorithmsreactive transport equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

The behavior of domain decomposition methods when the overlapping length is large ⋮ On the choice of Robin parameters for the optimized Schwarz method for domains with non-conforming heterogeneities ⋮ Error analysis of waveform relaxation method for semi-linear partial differential equations

Cites Work

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• A homographic best approximation problem with application to optimized Schwarz waveform relaxation
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

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