Numerical comparison of high-order absorbing boundary conditions and perfectly matched layers for a dispersive one-dimensional medium

DOI10.1016/j.cma.2011.10.015zbMath1243.65122OpenAlexW2093683194MaRDI QIDQ438074

Giovanni Lancioni

Publication date: 20 July 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.10.015

zbMATH Keywords

finite elementsdispersive wavesabsorbing boundary conditionsperfectly matched layer

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

Time domain analysis and localization of a non-local PML for dispersive wave equations ⋮ Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions ⋮ An absorbing boundary condition for free surface water waves ⋮ Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary ⋮ Optimized first-order absorbing boundary conditions for anisotropic elastodynamics ⋮ The double absorbing boundary method for a class of anisotropic elastic media ⋮ Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems ⋮ Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-reflecting boundary conditions
• An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
• Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
• A perfectly matched layer for the absorption of electromagnetic waves
• Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite element implementation.
• High-order non-reflecting boundary scheme for time-dependent waves
• Special finite elements for use with high-order boundary conditions
• Finite element formulation with high-order absorbing boundary conditions for time-dependent waves
• High-order non-reflecting boundary conditions for dispersive waves
• A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
• High-order local absorbing conditions for the wave equation: Extensions and improvements
• Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
• Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain
• High-order absorbing boundary conditions incorporated in a spectral element formulation
• LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation Boundary Conditions for Dispersive Waves
• Perfectly matched layers for transient elastodynamics of unbounded domains
• An Optimized Perfectly Matched Layer for the Schrödinger Equation

This page was built for publication: Numerical comparison of high-order absorbing boundary conditions and perfectly matched layers for a dispersive one-dimensional medium