The convergence rate of the schwarz alternating procedure (II)—for two-dimensional problems

DOI10.1080/00207168608803551zbMath0654.65033OpenAlexW2083136680MaRDI QIDQ3800983

Yuping Chen, Lishan Kang, Jianping Shao, David J. Evans

Publication date: 1986

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168608803551

zbMATH Keywords

domain decompositionconvergence ratePoisson equationSchwarz alternating procedurelocal pseudo-boundary

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

Strategies of domain decomposition for the design of parallel algorithms ⋮ The convergence rate of the schwarz alternating procedure (iii)—for neumann problems ⋮ The convergence rate of the schwarz alternating procedure (iv): with pseudo-boundary relaxation factor ⋮ The convergence rate of the schwarz alternating procedure (v)—for more than two subdomains ⋮ The convergence rate of the schwarz alternating procedure (VI)—for unsymmetric problems ⋮ The Schwarz alternating method in solid mechanics ⋮ On the Schwarz alternating method for oceanic models on parallel computers ⋮ A combined technique for solution of PDE's via the generalized domain decomposition method ⋮ Fourier analysis of Schwarz alternating methods for piecewise Hermite bicubic orthogonal spline collocation

Cites Work

• The convergence rate of the schwarz alternating procedure (I): For one-dimensional problems

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