The convergence rate of the schwarz alternating procedure (v)—for more than two subdomains

DOI10.1080/00207168808803624zbMath0655.65053OpenAlexW2032940239MaRDI QIDQ3802492

Lishan Kang, David J. Evans

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207168808803624

zbMATH Keywords

domain decompositionconvergence rateHelmholtz equationSchwarz alternating procedureMIMD machinemoving local pseudo-boundaries

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 (6)

Strategies of domain decomposition for the design of parallel algorithms ⋮ Estimation of the convergence rate of schwarz alternating method and an accelerated algorithm ⋮ 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 ⋮ 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
• The convergence rate of the schwarz alternating procedure (II)—for two-dimensional problems
• 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

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