Time domain analysis and localization of a non-local PML for dispersive wave equations

DOI10.1016/j.jcp.2021.110638OpenAlexW3194575878MaRDI QIDQ2133067

Nacéra Baara, Mounir Tlemcani, Julien Diaz

Publication date: 29 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110638

zbMATH Keywords

analytical solutiondispersionKlein-Gordon equationPMLBessel's functionslong time stability

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (2)

Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides ⋮ Time-domain Green's function associated to the interface problem for the Klein-Gordon equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical comparison of high-order absorbing boundary conditions and perfectly matched layers for a dispersive one-dimensional medium
• New absorbing layers conditions for short water waves
• 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.
• High-order nonreflecting boundary conditions for the dispersive shallow water equations.
• Unsplit variables perfectly matched layers for the shallow water equations with Coriolis forces
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• Optimizing the perfectly matched layer
• A time domain analysis of PML models in acoustics
• On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
• On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
• An Analysis of Higher Order Boundary Conditions for the Wave Equation
• Upper bound on √x J_ν(x) and its applications
• Integral transform techniques for Green's function

This page was built for publication: Time domain analysis and localization of a non-local PML for dispersive wave equations