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The Half-Space Matching Method for Elastodynamic Scattering Problems in Unbounded Domains

https://doi.org/10.2139/ssrn.4246561
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Outgoing claims: the papers this work cites, builds on, or argues with.

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On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations
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Boundary-integral equation method for elastodynamic scattering by a compact inhomogeneity
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Non-reflecting boundary conditions for plane waves in anisotropic elasticity and poroelasticity
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Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
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Non-reflecting boundary conditions for elastic waves
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Numerical Methods for Problems in Infinite Domains
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Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
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Analysis of a Cartesian PML approximation to acoustic scattering problems in R2 and R3
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The halfspace matching method: A new method to solve scattering problems in infinite media
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A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems
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Studies of FE/PML for exterior problems of time-harmonic elastic waves
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A time domain analysis of PML models in acoustics
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A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
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The Double Absorbing Boundary method for a class of anisotropic elastic media
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Optimized first-order absorbing boundary conditions for anisotropic elastodynamics
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An exact bounded PML for the Helmholtz equation
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A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain
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A new approach to perfectly matched layers for the linearized Euler system
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A new absorbing layer for elastic waves
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An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
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High-order local absorbing conditions for the wave equation: Extensions and improvements
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High-order Absorbing Boundary Conditions for anisotropic and convective wave equations
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A general approach for high order absorbing boundary conditions for the Helmholtz equation
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A new Fast Multipole formulation for the elastodynamic half-space Greenʼs tensor
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A robust absorbing layer method for anisotropic seismic wave modeling
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Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method
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Theory and implementation of H -matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
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Regularized integral equation methods for elastic scattering problems in three dimensions
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A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: A priori estimates in H1
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High-order local non-reflecting boundary conditions: a review
inferredcites →https://doi.org/10.1016/j.wavemoti.2007.03.001openalex-extracted
Guided elastic waves and perfectly matched layers
inferredcites →https://doi.org/10.1016/j.wavemoti.2013.08.001openalex-extracted
On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves
inferredcites →https://doi.org/10.1016/j.wavemoti.2016.02.005openalex-extracted
Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides
inferredcites →https://doi.org/10.1016/s0021-9991(03)00184-0openalex-extracted
Stability of perfectly matched layers, group velocities and anisotropic waves
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7009-2openalex-extracted
Mathematical Problems in Elasticity and Homogenization
inferredcites →https://doi.org/10.1016/s0950-1401(07)x8002-9openalex-extracted
Wave Fields in Real Media - Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media
inferredcites →https://doi.org/10.1017/s0962492900002890openalex-extracted
Radiation boundary conditions for the numerical simulation of waves
inferredcites →https://doi.org/10.1023/a:1015141823608openalex-extracted
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics
inferredcites →https://doi.org/10.1046/j.1365-246x.2003.01950.xopenalex-extracted
A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation
inferredcites →https://doi.org/10.1051/m2an:2002004openalex-extracted
On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
inferredcites →https://doi.org/10.1061/jmcea3.0001144openalex-extracted
Finite Dynamic Model for Infinite Media
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Absorbing boundary conditions for numerical simulation of waves
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inferredcites →https://doi.org/10.1090/s0025-5718-06-01930-2openalex-extracted
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
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Numerical Absorbing Boundary Conditions for the Wave Equation
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Complex frequency-shifted multi-axial perfectly matched layer for elastic wave modelling on curvilinear grids
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A simple, nearly perfectly matched layer for general electromagnetic media
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On the Long-Time Behavior of Unsplit Perfectly Matched Layers
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Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
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Radiation Boundary Conditions for Elastic Wave Propagation
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Radiation Boundary Conditions for Dispersive Waves
inferredcites →https://doi.org/10.1137/20m1387122openalex-extracted
The Complex-Scaled Half-Space Matching Method
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An Analysis of Higher Order Boundary Conditions for the Wave Equation
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Exact Nonreflecting Boundary Condition For Elastic Waves
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Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
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Perfectly Matched Layers for the Convected Helmholtz Equation
inferredcites →https://doi.org/10.1142/s1793744211000291openalex-extracted
The analysis of matched layers
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The double absorbing boundary method for elastodynamics in homogeneous and layered media
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Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media
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Finite-difference frequency-domain modeling of viscoacoustic wave propagation in 2D tilted transversely isotropic (TTI) media
inferredcites →https://doi.org/10.1190/geo2014-0397.1openalex-extracted
Validity of the acoustic approximation for elastic waves in heterogeneous media
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Solvability of a volume integral equation formulation for anisotropic elastodynamic scattering
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A Nonconvolutional, Split-Field, Perfectly Matched Layer for Wave Propagation in Isotropic and Anisotropic Elastic Media: Stability Analysis
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Application of the Nearly Perfectly Matched Layer to Seismic-Wave Propagation Modeling in Elastic Anisotropic Media
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On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
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Unique continuation property for the elasticity with general residual stress
inferredcites →https://doi.org/10.3997/2405-7495.2015113openalex-extracted
SMART: dissipative absorbing layer technique for general elastodynamics equations. Application as S-waves filter in acoustic TI media
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Complex scaled infinite elements for exterior Helmholtz problems

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inferred← citeshttps://doi.org/10.1016/j.cma.2025.118204openalex-snapshot
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method
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