On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method

DOI10.1016/S1631-073X(03)00026-8zbMath1027.65161OpenAlexW2012676818MaRDI QIDQ1871484

Faker Ben Belgacem, Nabil Gmati, Faten Jelassi, Michel Fournié

Publication date: 23 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00026-8

zbMATH Keywords

convergenceboundary element methoddomain decompositionexterior Poisson problemexterior Helmholtz problemalternating Schwarz method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

On the Schwarz algorithms for the Elliptic Exterior Boundary Value Problems ⋮ Comments on the GMRES Convergence for Preconditioned Systems ⋮ Convergence bounds of GMRES with Schwarz' preconditioner for the scattering problem

Cites Work

• A domain decomposition method for the Helmholtz equation and related optimal control problems
• Domain decomposition method for harmonic wave propagation: A general presentation
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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