Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation

DOI10.1051/m2an/2013121zbMath1305.65199arXiv1006.1323OpenAlexW2963896069MaRDI QIDQ5419527

Minh-Binh Tran

Publication date: 10 June 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1323

zbMATH Keywords

convergencedomain decompositionparallel computationerror estimatesemilinear heat equationwaveform relaxation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58)

Related Items (6)

Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations ⋮ Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations ⋮ Nonlinear parallel-in-time simulations of multiphase flow in porous media ⋮ iHDG: An Iterative HDG Framework for Partial Differential Equations ⋮ Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations ⋮ Parallelizing the Kolmogorov-Fokker-Planck equation

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