Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers

DOI10.1016/j.jcp.2012.01.013zbMath1242.78035OpenAlexW2112268253MaRDI QIDQ417873

Wonseok Shin, Shanhui Fan

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.01.013

zbMATH Keywords

condition numberMaxwell's equationsiterative methodspreconditionerfinite-element methodperfectly matched layerfinite-difference frequency-domain method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

Related Items (11)

A linearised inverse conductivity problem for the Maxwell system at a high frequency ⋮ Self-consistent adjoint analysis for topology optimization of electromagnetic waves ⋮ Perfectly matched layer boundary condition for two-dimensional Euler equations in generalized coordinate system ⋮ Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals ⋮ Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem ⋮ Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media ⋮ Perfectly matched layers for time-harmonic transverse electric wave propagation in cylindrical and toroidal gyrotropic media ⋮ Influence of particle shape in the additive manufacturing process for ceramics ⋮ A property-dependent perfectly matched layer with a single additional layer for Maxwell's equations in finite difference frequency domains ⋮ A preconditioned dual-primal finite element tearing and interconnecting method for solving three-dimensional time-harmonic Maxwell's equations ⋮ An effective preconditioner for a PML system for electromagnetic scattering problem

Uses Software

• Matlab
• FDFD
• PETSc
• ARPACK

Cites Work

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• Singular value decompositions of complex symmetric matrices
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• A perfectly matched layer for the absorption of electromagnetic waves
• Numerical solution of saddle point problems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Matrix Analysis
• ARPACK Users' Guide
• A Generalization of the Conjugate-Gradient Method to Solve Complex Systems
• A Study of the Condition Number of Various Finite Element Matrices Involved in the Numerical Solution of Maxwell's Equations
• FDFD: A 3D finite-difference frequency-domain code for electromagnetic induction tomography

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