Optimized Schwarz Methods with Overlap for the Helmholtz Equation
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Publication:5890947
DOI10.1137/15M1021659zbMath1351.65094OpenAlexW4235228724MaRDI QIDQ5890947
Publication date: 12 October 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1021659
convergenceHelmholtz equationpreconditionertransmission conditionsoverlapping optimized Schwarz methods
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) Preconditioners for iterative methods (65F08)
Related Items (15)
Schwarz methods by domain truncation ⋮ A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation ⋮ Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains ⋮ Optimized Schwarz Methods for the Cahn–Hilliard Equation ⋮ Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation ⋮ Scalable Convergence Using Two-Level Deflation Preconditioning for the Helmholtz Equation ⋮ Analysis of Schwarz Methods for Convected Helmholtz-Like Equations ⋮ Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption ⋮ An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation ⋮ Quasi-overlapping semi-discrete Schwarz waveform relaxation algorithms: the hyperbolic problem ⋮ Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems ⋮ Optimized Schwarz methods with elliptical domain decompositions ⋮ Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
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