Fast transform based preconditioners for 2D finite-difference frequency-domain. Waveguides and periodic structures

DOI10.1016/j.jcp.2008.04.030zbMath1143.78010OpenAlexW2078747053MaRDI QIDQ935313

B. E. Eshmatov

Publication date: 6 August 2008

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

Full work available at URL: https://hal-enac.archives-ouvertes.fr/hal-01021585/file/395.pdf

zbMATH Keywords

iterative methodsHelmholtz equationfinite difference methodselectromagnetic scatteringwaveguidesperiodic structures

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Uses Software

• FDFD

Cites Work

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• Variational methods for underwater acoustic problems
• Efficient iterative solution of the three-dimensional Helmholtz equation
• Fast transforms for tridiagonal linear equations
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Parallel solution of the Helmholtz equation in a multilayer domain
• Eigenanalysis of some preconditioned Helmholtz problems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• A Domain Decomposition Method for the Helmholtz Equation in a Multilayer Domain
• Iterative Solution of the Helmholtz Equation by a Second-Order Method
• Conjugate Gradient Methods for Toeplitz Systems
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

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