An improved domain decomposition method for the \(3\)D Helmholtz equation

DOI10.1016/S0045-7825(97)00336-8zbMath0936.65139MaRDI QIDQ1808060

A. Piacentini, Nelson Rosa

Publication date: 30 November 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultsfinite element methodHelmholtz equationiteration schemedomain decomposition methodperformancesnon-reflecting boundary conditions

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

Related Items (6)

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 ⋮ A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points ⋮ A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays ⋮ 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

Cites Work

• Absorbing boundary conditions for diffusion equations
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• To Overlap or Not to Overlap: A Note on a Domain Decomposition Method for Elliptic Problems
• Radiation boundary conditions for acoustic and elastic wave calculations
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
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