Additive Schwarz methods for parabolic problems

DOI10.1016/j.amc.2004.03.025zbMath1076.65084OpenAlexW2108939054MaRDI QIDQ1774913

Jianhua Yang, Danping Yang

Publication date: 4 May 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.03.025

zbMATH Keywords

algorithmsemilinear parabolic problemsConvergenceDomain decompositionError estimatebackward Euler scheme in timeAdditive Schwarz methodGalerkin approximation in the space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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)

Related Items (6)

Schwarz type algorithms for parabolic problems ⋮ Parallel domain decomposition procedures of improved D-D type for parabolic problems ⋮ Parallel finite difference schemes for heat equation based upon overlapping domain decomposition ⋮ Parallel characteristic finite difference method for convection-diffusion equations ⋮ Additive Schwarz algorithms for parabolic problems ⋮ A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems

Cites Work

• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Multiplicative Schwarz methods for parabolic problems.
• Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Multiplicative Schwarz Methods for Parabolic Problems

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