Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

DOI10.1051/m2an/2019050zbMath1437.65219OpenAlexW2970058161MaRDI QIDQ5108958

Francis Collino, Patrick Joly, Matthieu Lecouvez

Publication date: 7 May 2020

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

Full work available at URL: https://doi.org/10.1051/m2an/2019050

zbMATH Keywords

domain decomposition methodsintegral operatorspseudo-differential operatorsexponentially fast convergent methodsnorms of fractional order Sobolev spaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (11)

Solution of three-dimensional multiple scattering problems by the method of difference potentials ⋮ Schwarz methods by domain truncation ⋮ Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems ⋮ A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation ⋮ Robust treatment of cross-points in optimized Schwarz methods ⋮ A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems ⋮ Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation ⋮ Solvability results for the transient acoustic scattering by an elastic obstacle ⋮ A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points ⋮ A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems ⋮ Nonlocal optimized Schwarz methods for time-harmonic electromagnetics

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