On the Schwarz algorithms for the Elliptic Exterior Boundary Value Problems

DOI10.1051/m2an:2005030zbMath1089.65126OpenAlexW2143407601MaRDI QIDQ5695398

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

Publication date: 12 October 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_4_693_0

zbMATH Keywords

domain decompositionboundary integral equationfinite element methodsboundary element methodsPoisson equationcoupling methodsSchwarz algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

On the Schwarz method for the eddy currents model ⋮ Convergence of Krylov subspace solvers with Schwarz preconditioner for the exterior Maxwell problem ⋮ Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides ⋮ Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem ⋮ Coupling of an Exact Transparent Boundary Condition with a DG Method for the Solution of the Time-Harmonic Maxwell Equations ⋮ Coupling Finite and Boundary Element Methods Using a Localized Adaptive Radiation Condition for the Helmholtz’s Equation ⋮ Convergence bounds of GMRES with Schwarz' preconditioner for the scattering problem

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