Perfectly matched layers for Maxwell's equations in second order formulation
type: Item
instance of: scholarly article
title: Perfectly matched layers for Maxwell's equations in second order formulation
zbMATH Open document ID: 1073.78014
author: N. Anders Petersson
author: Björn Sjögreen
published in: Journal of Computational Physics
publication date: 2005-08-05T00:00:00Z
full work available at URL: metadc1407608
review text: The authors consider numerical solutions of two-dimensional Maxwell equations also the boundary conditions are approximated by perfectly matched layers (PML). They produce an estimate for the errors and point out that there is a difference when evanescent modes are considered. The details of the approximation when the PML system is discretized are discussed and error estimates are given. It is pointed out that the errors involved are dependent on the mesh size and strength of dampening in the matching layer. Some numerical examples are given involving scattering by various objects and a treatment of the idea of an embedded boundary.
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78M15
zbMATH DE Number: 2192422
zbMATH Keywords: matched layers
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: second-order formulation
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
OpenAlex ID: W2099891394
cites work: Long time behavior of the perfectly matched layer equations in computational electromagnetics
cites work: Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
cites work: On Optimal Finite-Difference Approximation of PML
cites work: On the Long-Time Behavior of Unsplit Perfectly Matched Layers
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: Optimizing the perfectly matched layer
cites work: The Perfectly Matched Layer in Curvilinear Coordinates
cites work: Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case
cites work: Radiation boundary conditions for acoustic and elastic wave calculations
cites work: High-order non-reflecting boundary scheme for time-dependent waves
cites work: Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
cites work: Q4692703
cites work: A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data
cites work: Difference Approximations for the Second Order Wave Equation
cites work: Difference Approximations of the Neumann Problem for the Second Order Wave Equation
cites work: Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
cites work: Q4485431
DOI: 10.1016/J.JCP.2005.03.011
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description: scientific article