Convergence analysis of the overlapping Schwarz waveform relaxation algorithm for reaction-diffusion equations with time delay

DOI10.1093/imanum/drr012zbMath1259.65136OpenAlexW2332180697MaRDI QIDQ2882360

Shu-Lin Wu, Ting-Zhu Huang, Cheng-Ming Huang

Publication date: 4 May 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr012

zbMATH Keywords

algorithmconvergencetime delayheat equationnumerical experimentsfinite difference schemereaction-diffusion equationsmesh refinementoverlapping Schwarz waveform relaxation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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