Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems

DOI10.1137/21M1419428zbMath1492.65260MaRDI QIDQ5080493

Duc Quang Bui, Caroline Japhet, Yvon Maday, Pascal Omnes

Publication date: 31 May 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergence ratesdomain decompositionRobin transmission conditionsparareal in time algorithmoptimized Schwarz waveform relaxation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Discrete-time analysis of optimized Schwarz waveform relaxation with Robin parameters depending on the targeted iteration count ⋮ A hybrid algorithm based on parareal and Schwarz waveform relaxation

Cites Work

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