Long time behavior of the perfectly matched layer equations in computational electromagnetics
From MaRDI portal
Publication:1610555
DOI10.1023/A:1015141823608zbMath1005.78014OpenAlexW1549063999MaRDI QIDQ1610555
David Gottlieb, Saul S. Abarbanel, Jan S. Hesthaven
Publication date: 20 August 2002
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1015141823608
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (45)
An efficient finite element time-domain formulation for the elastic second-order wave equation: A non-split complex frequency shifted convolutional PML ⋮ Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation ⋮ Open boundaries for the nonlinear Schrödinger equation ⋮ Absorbing boundary layer control for linear one-dimensional wave propagation problems ⋮ Error analysis of an enhanced DtN-FE method for exterior scattering problems ⋮ The 3D wave equation and its Cartesian coordinate stretched perfectly matched embedding -- a time-domain Green's function performance analysis ⋮ Well-posedness and exponential stability of Maxwell-like systems coupled with strongly absorbing layers ⋮ Analysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski's PML model ⋮ Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics ⋮ On the intersection of sets of incoming and outgoing waves ⋮ Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides ⋮ Long-time performance of unsplit pmls with explicit second order schemes ⋮ Time-domain hybrid formulations for wave simulations in three-dimensional PML-truncated heterogeneous media ⋮ An arbitrary Lagrangian-Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: an implicit method ⋮ Stability of perfectly matched layers, group velocities and anisotropic waves. ⋮ A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations ⋮ The half-space matching method for elastodynamic scattering problems in unbounded domains ⋮ A new family of first-order boundary conditions for the Maxwell system: Derivation, well-posedness and long-time behavior ⋮ Numerical upscaling via the wave equation with perfectly matched layers ⋮ Non-linear PML equations for time dependent electromagnetics in three dimensions ⋮ Remarks on the stability of Cartesian PMLs in corners ⋮ A reflectionless discrete perfectly matched layer ⋮ Exact non-reflecting boundary conditions on general domains. ⋮ Efficient and stable perfectly matched layer for CEM ⋮ Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model ⋮ Perfectly matched layers for the heat and advection-diffusion equations ⋮ Lacunae based stabilization of PMLs ⋮ Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators ⋮ An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation ⋮ Explicit finite element perfectly matched layer for transient three-dimensional elastic waves ⋮ Analysis and application of an equivalent Berenger's PML model ⋮ A modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacoustics ⋮ Perfectly matched layers for Maxwell's equations in second order formulation ⋮ Numerical analysis of a PML model for time-dependent Maxwell's equations ⋮ Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials ⋮ Long-time behavior of PML absorbing boundaries for layered periodic structures ⋮ A new approach to perfectly matched layers for the linearized Euler system ⋮ A new absorbing layer for elastic waves ⋮ A robust absorbing layer method for anisotropic seismic wave modeling ⋮ A Fourier penalty method for solving the time-dependent Maxwell's equations in domains with curved boundaries ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers ⋮ Saul Abarbanel; half a century of scientific work ⋮ Discontinuous Galerkin difference methods for symmetric hyperbolic systems ⋮ Studies on some perfectly matched layers for one-dimensional time-dependent systems ⋮ A PML finite element method for electromagnetic scattering problems in a two-layer medium
This page was built for publication: Long time behavior of the perfectly matched layer equations in computational electromagnetics