A novel PML-type technique for acoustic scattering problems based on a real coordinate transformation
DOI10.1137/24m1628554MaRDI QIDQ6663235
Bo Wang, Li-Lian Wang, Jiangxing Wang
Publication date: 14 January 2025
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
oscillationHelmholtz equationsubstitutionperfectly matched layertime-harmonic wave scatteringreal coordinate transformation
PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Diffraction, scattering (78A45) Roundoff error (65G50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Pattern formations in context of PDEs (35B36)
Cites Work
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- An anisotropic perfectly matched layer method for Helmholtz scattering problems with discontinuous wave number
- Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
- Hyperboloidal layers for hyperbolic equations on unbounded domains
- Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\)
- Higher order finite and infinite elements for the solution of Helmholtz problems
- A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems
- Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems
- Exact non-reflecting boundary conditions
- Numerical solution of problems in unbounded regions: coordinate transforms
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- Stable perfectly matched layers for a cold plasma in a strong background magnetic field
- A perfect absorbing layer for high-order simulation of wave scattering problems
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\)
- A summary of infinite element formulations for exterior Helmholtz problems
- Time domain analysis and localization of a non-local PML for dispersive wave equations
- High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods
- Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics
- Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities
- Cartesian PML approximation to resonances in open systems in \(\mathbb{R}^2\)
- Spectral Methods
- Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
- Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
- On the development of efficient FDTD-PML formulations for general dispersive media
- An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems
- Radiation boundary conditions for wave-like equations
- Absorbing boundary conditions for numerical simulation of waves
- The Perfectly Matched Layer in Curvilinear Coordinates
- Far-Field Filtering Operators for Suppression of Reflection From Artificial Boundaries
- Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides
- Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems
- Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
- Integral Equation Methods in Scattering Theory
- Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem
- An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
- A convergent ‘farfield’ expansion for two‐dimensional radiation functions
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners
- The half-space matching method for elastodynamic scattering problems in unbounded domains
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