Schwarz Waveform Relaxation for a Neutral Functional Partial Differential Equation Model of Lossless Coupled Transmission Lines

DOI10.1137/110860975zbMath1278.65139OpenAlexW2013726767WikidataQ115247014 ScholiaQ115247014MaRDI QIDQ5300135

Shu-Lin Wu, Ting-Zhu Huang

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110860975

zbMATH Keywords

numerical experimentsfinite differencessemidiscretizationneutral partial differential equationSchwarz waveform relaxationDirichlet and Robin coupling conditionsoptimization of convergence for Robin conditions

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) 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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Optimized overlapping Schwarz waveform relaxation for a class of time-fractional diffusion problems ⋮ Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations ⋮ Convergence Analysis of Schwarz Waveform Relaxation with Convolution Transmission Conditions ⋮ One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments

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