Analysis of a parallel Schwarz algorithm for elliptic problems

DOI10.1016/S0096-3003(99)00101-0zbMath1026.65115MaRDI QIDQ5931623

Danping Yang

Publication date: 25 April 2001

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

zbMATH Keywords

convergenceboundary value problemserror boundsfinite element methodsiterative methodselliptic problemsoverlapping domain decompositionparallel algorithmSchwarz alternating algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Parallel finite difference schemes for heat equation based upon overlapping domain decomposition ⋮ A parallel domain decomposition algorithm of mixed element equation for second-order elliptic Dirichlet boundary value problem

Cites Work

• A generalization of the Schwarz alternating method to an arbitrary number of subdomains
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• On the abstract theory of additive and multiplicative Schwarz algorithms
• Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• Domain Decomposition Algorithms with Small Overlap
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