Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides
DOI10.1051/m2an/2023060zbMath1522.35491MaRDI QIDQ6050036
Markus Wess, Maryna Kachanovska, Eliane Bécache
Publication date: 18 September 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Laplace transformwaveguidesdispersive mediaperfectly matched layersmetamaterialstime-dependent Maxwell equations
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Antennas, waveguides in optics and electromagnetic theory (78A50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)
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Cites Work
- Unnamed Item
- Perfectly matched absorbing layers for the paraxial equations
- Analysis and application of an equivalent Berenger's PML model
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- On the analysis and construction of perfectly matched layers for the linearized Euler equations
- 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
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- Long time behavior of the perfectly matched layer equations in computational electromagnetics
- Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains
- Mathematical models for dispersive electromagnetic waves: an overview
- Stable perfectly matched layers for a cold plasma in a strong background magnetic field
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Well-posed perfectly matched layers for advective acoustics
- On the accuracy and stability of the perfectly matched layer in transient waveguides
- Optimizing the perfectly matched layer
- Time domain analysis and localization of a non-local PML for dispersive wave equations
- A reflectionless discrete perfectly matched layer
- The analysis of matched layers
- Energy decay and stability of a perfectly matched layer for the wave equation
- A time domain analysis of PML models in acoustics
- A new approach to perfectly matched layers for the linearized Euler system
- On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
- Perfectly matched transmission problem with absorbing layers: Application to anisotropic acoustics in convex polygonal domains
- Optimizing perfectly matched layers in discrete contexts
- Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
- On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- Retarded Potentials and Time Domain Boundary Integral Equations
- Order stars and stability theorems
- On Optimal Finite-Difference Approximation of PML
- On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
- Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
- Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides
- On the Long-Time Behavior of Unsplit Perfectly Matched Layers
- A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
