Schwarz type domain decomposition algorithms for parabolic equations and error estimates

DOI10.1007/BF02677411zbMath0934.35059MaRDI QIDQ1302269

Danping Yang, Hong-Xing Rui

Publication date: 13 April 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

backward Euler scheme in timeoptimal \(L^2\) error estimatesSchwarz type domain decomposition algorithms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (16)

A new parallel subspace correction method for advection-diffusion equation ⋮ Parallel domain decomposition procedures of improved D-D type for parabolic problems ⋮ Parallel characteristic finite element method for time-dependent convection-diffusion problem ⋮ Parallel Galerkin domain decomposition procedures for wave equation ⋮ Parallel finite difference schemes for heat equation based upon overlapping domain decomposition ⋮ Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem ⋮ A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation ⋮ Parallel least-squares finite element method for time-dependent convection-diffusion system ⋮ Parallel characteristic finite difference method for convection-diffusion equations ⋮ Parallel Galerkin domain decomposition procedures based on the streamline diffusion method for convection-diffusion problems ⋮ Additive Schwarz methods for parabolic problems ⋮ Dynamic parallel Galerkin domain decomposition procedures with grid modification for parabolic equation ⋮ Parallel Galerkin domain decomposition procedures for parabolic equation on general domain ⋮ Galerkin domain decomposition procedures for parabolic equations on rectangular domain ⋮ A NEW DOMAIN DECOMPOSITION PARALLEL ALGORITHM FOR CONVECTION–DIFFUSION PROBLEM ⋮ Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

Cites Work

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• Additive Schwarz algorithms for parabolic convection-diffusion equations
• 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
• Iterative Methods by Space Decomposition and Subspace Correction

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