A Time-Simultaneous Multigrid Method for Parabolic Evolution Equations

DOI10.1007/978-3-030-55874-1_32zbMath1470.65161OpenAlexW3158005888MaRDI QIDQ5152822

Jonas Dünnebacke, P. Zajac, Andriy Sokolov, Stefan Turek

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2003/38463

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items (1)

Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation

Cites Work

• Multi-grid dynamic iteration for parabolic equations
• Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods
• Résolution d'EDP par un schéma en temps «pararéel »
• 50 Years of Time Parallel Time Integration
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Space-Time Multigrid Method for Parabolic Partial Differential Equations
• Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case
• Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
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