Semi-discrete Schwarz waveform relaxation algorithms for reaction diffusion equations

DOI10.1007/s10543-014-0475-3zbMath1317.65192OpenAlexW2050915189MaRDI QIDQ466819

Mohammad Al-Khaleel, Shu-Lin Wu

Publication date: 31 October 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0475-3

zbMATH Keywords

numerical experimentsreaction-diffusion equationSchwarz waveform relaxation algorithmDirichlet transmission conditionfourht-order finite difference methodRobin transmission conditionsecond-order finite difference method

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Discrete analysis of Schwarz waveform relaxation for a diffusion reaction problem with discontinuous coefficients ⋮ Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain ⋮ A hybrid algorithm based on parareal and Schwarz waveform relaxation ⋮ Discrete optimization of Robin transmission conditions for anisotropic diffusion with discrete duality finite volume methods ⋮ Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations ⋮ Convergence Analysis of Schwarz Waveform Relaxation with Convolution Transmission Conditions

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