Analysis and application of an equivalent Berenger's PML model

DOI10.1016/j.cam.2017.10.036zbMath1382.78018OpenAlexW2767418888MaRDI QIDQ679583

Jichun Li, Yunqing Huang, Hongen Jia

Publication date: 11 January 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.10.036

zbMATH Keywords

wave propagationMaxwell's equationsdiscontinuous Galerkin methodperfectly matched layermetamaterials

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Initial value problems for second-order hyperbolic equations (35L15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

Developing and analyzing an explicit unconditionally stable finite element scheme for an equivalent Bérenger’s PML model, Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides, Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model, Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides, Mathematical analysis of Ziolkowski's PML model with application for wave propagation in metamaterials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
• Breaking spaces and forms for the DPG method and applications including Maxwell equations
• Numerical analysis of a PML model for time-dependent Maxwell's equations
• Studies on some perfectly matched layers for one-dimensional time-dependent systems
• Absorbing PML boundary layers for wave-like equations
• A perfectly matched layer for the absorption of electromagnetic waves
• Long time behavior of the perfectly matched layer equations in computational electromagnetics
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
• Mur-Nédélec finite element schemes for Maxwell's equations
• Maxwellian material based absorbing boundary conditions
• An adaptive \(P_1\) finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions
• Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
• Perfectly matched layers in negative index metamaterials and plasmas
• Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
• An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures
• Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media
• On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
• Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
• Convergence of a discontinuous Galerkin scheme for the mixed time-domain Maxwell's equations in dispersive media
• Implicit DG Method for Time Domain Maxwell’s Equations Involving Metamaterials
• Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials
• Accurate Simulation of Circular and Elliptic Cylindrical Invisibility Cloaks
• Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem