Convergence Analysis of the PML Method for Time-Domain Electromagnetic Scattering Problems
DOI10.1137/19M126517XzbMath1467.78016arXiv1907.08901OpenAlexW3036888220MaRDI QIDQ3303719
Bo Zhang, Jiaqing Yang, Changkun Wei
Publication date: 4 August 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08901
stabilitywell-posednessexponential convergenceperfectly matched layer methodtime-domain electromagnetic scattering
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffraction, scattering (78A45) 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) Laplace transform (44A10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time-domain analysis of an acoustic-elastic interaction problem
- Analysis of time-domain scattering by periodic structures
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\)
- Analysis of a time-dependent fluid-solid interaction problem above a local rough surface
- A time domain analysis of PML models in acoustics
- Numerical methods for Laplace transform inversion
- Time-dependent fluid-structure interaction
- Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
- Electromagnetic Scattering by Unbounded Rough Surfaces
- Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
- The Perfectly Matched Layer in Curvilinear Coordinates
- An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
- Analysis of Transient Acoustic-Elastic Interaction in an Unbounded Structure
- Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
- Finite Element Methods for Maxwell's Equations
- Long-Time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Domain Acoustic Scattering Problems
- Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
- Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature
- PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium
- Electromagnetic scattering for time-domain Maxwell’s equations in an unbounded structure
- Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem
- An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems
- Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
- Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity
- An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
This page was built for publication: Convergence Analysis of the PML Method for Time-Domain Electromagnetic Scattering Problems
