On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
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Publication:4531299
DOI10.1051/m2an:2002004zbMath0992.78032OpenAlexW2137687018MaRDI QIDQ4531299
Publication date: 29 May 2002
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_1_87_0
stabilityhyperbolic systemsFourier analysisMaxwell's equationsPMLYee's schemeabsorbing layersenergy techniques
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) First-order hyperbolic systems (35L40)
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Cites Work
- Unnamed Item
- Unnamed Item
- On the analysis and construction of perfectly matched layers for the linearized Euler equations
- On the construction and analysis of absorbing layers in CEM
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- A mathematical analysis of the PML method
- A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes
- Perturbation theory for linear operators.
- On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
- Caractère bien posé du problème de Cauchy pour le système de Bérenger