Parallel Schwarz waveform relaxation method for a semilinear heat equation in a cylindrical domain

DOI10.1016/j.crma.2010.06.004zbMath1198.35129OpenAlexW2064505232MaRDI QIDQ990211

Minh-Binh Tran

Publication date: 6 September 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.06.004

zbMATH Keywords

well-posednessestimate of a local time of existencenew cylindrical error estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Theoretical approximation in context of PDEs (35A35) Semilinear parabolic equations (35K58)

Related Items (4)

An improved iterative HDG approach for partial differential equations ⋮ iHDG: An Iterative HDG Framework for Partial Differential Equations ⋮ A note on the \(H^1\)-convergence of the overlapping Schwarz waveform relaxation method for the heat equation ⋮ Parallelizing the Kolmogorov-Fokker-Planck equation

Cites Work

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• On monotone iteration and Schwarz methods for nonlinear parabolic PDEs.
• Space-time domain decomposition for parabolic problems
• On the performance of parallel waveform relaxations for differential systems
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation

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