Improved transmission conditions for a one-dimensional domain decomposition method applied to the solution of the Helmholtz equation

DOI10.1016/j.jcp.2009.10.015zbMath1184.78081OpenAlexW2030165056MaRDI QIDQ2655674

Bruno Stupfel

Publication date: 25 January 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.015

zbMATH Keywords

frequency domainnumerical methodsHelmholtz equationdomain decomposition methodelectromagnetismtransmission conditions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25)

Related Items (10)

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 ⋮ Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Analysis and optimization of the generalized Schwarz method for elliptic problems with application to fluid-structure interaction ⋮ High-order transmission conditions in a domain decomposition method for the time-harmonic Maxwell's equations in inhomogeneous media ⋮ A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems ⋮ One-way domain decomposition method with exact radiation condition and fast GMRES solver for the solution of Maxwell's equations ⋮ Optimized Schwarz Method for the Fluid-Structure Interaction with Cylindrical Interfaces ⋮ Optimized Schwarz Methods for Spherical Interfaces With Application to Fluid-Structure Interaction

Cites Work

• A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays
• Domain decomposition method for harmonic wave propagation: A general presentation
• Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• On the degrees of freedom of scattered fields
• Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
• A Domain Decomposition Method for the Solution of Large Electromagnetic Scattering Problems
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• A domain decomposition method for the vector wave equation
• A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures
• A New Dual-Primal Domain Decomposition Approach for Finite Element Simulation of 3-D Large-Scale Electromagnetic Problems
• Singular Value Decomposition of the Radiation Operator—Application to Model-Order and Far-Field Reduction
• A Fast Domain Decomposition Method for Solving Three-Dimensional Large-Scale Electromagnetic Problems
• A hybrid finite element and integral equation domain decomposition method for the solution of the 3-D scattering problem
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