Multiplicative Schwarz methods for parabolic problems.

DOI10.1016/S0096-3003(02)00085-1zbMath1038.65091MaRDI QIDQ1856060

Hong-Xing Rui

Publication date: 28 January 2003

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

zbMATH Keywords

convergencenumerical exampleGalerkin methoddomain decompositionerror estimatesemi-linear parabolic equationsmultiplicative Schwarz methodEuler backward time discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) 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)

Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ Additive Schwarz methods for parabolic problems ⋮ A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮ Additive Schwarz algorithms for parabolic problems

Cites Work

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• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
• Multiplicative Schwarz Methods for Parabolic Problems

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