Bérenger/Maxwell with discontinous absorptions: existence, perfection, and no loss

DOI10.5802/slsedp.38zbMath1327.65174OpenAlexW2914076640MaRDI QIDQ2354222

Laurence Halpern, Jeffrey Rauch

Publication date: 10 July 2015

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/21edabaea67033c1648b2fcb2e29007b74082516

zbMATH Keywords

Maxwell equationswell posednessloss of derivativesperfect matchingperfectly matched layers

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Approximation in the complex plane (30E10)

Related Items (1)

Strictly dissipative boundary value problems at trihedral corners

Cites Work

• A perfectly matched layer for the absorption of electromagnetic waves
• A mathematical analysis of the PML method
• Stability of perfectly matched layers, group velocities and anisotropic waves.
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• The analysis of matched layers
• A time domain analysis of PML models in acoustics
• Second-Order Absorbing Boundary Conditions for the Wave Equation: A Solution for the Corner Problem
• Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
• Caractère bien posé du problème de Cauchy pour le système de Bérenger
• Un résultat d'existence et d'unicité pour l'équation de Helmholtz avec conditions aux limites absorbantes d'ordre
• On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations

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