An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
DOI10.1016/j.jcp.2006.09.018zbMath1115.76041OpenAlexW2000027278WikidataQ58040820 ScholiaQ58040820MaRDI QIDQ882056
Rodolfo Rodríguez, Alfredo Bermúdez, Andrés Prieto, Luis Hervella-Nieto
Publication date: 23 May 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.09.018
finite element methodnumerical examplesHelmholtz equationperfectly matched layertime-harmonic scattering
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (63)
Cites Work
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- Non-reflecting boundary conditions
- Finite element analysis of acoustic scattering
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- Evaluation of the perfectly matched layer for computational acoustics
- On the existence and convergence of the solution of PML equations
- Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite element implementation.
- An exact bounded PML for the Helmholtz equation
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Well-posed perfectly matched layers for advective acoustics
- Well-posed absorbing layer for hyperbolic problems
- High-order non-reflecting boundary scheme for time-dependent waves
- A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
- Optimizing the perfectly matched layer
- Perfectly matched layers for Maxwell's equations in second order formulation
- ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION
- High-order Higdon-like boundary conditions for exterior transient wave problems
- Radiation boundary conditions for wave-like equations
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- The Perfectly Matched Layer in Curvilinear Coordinates
- On Optimal Finite-Difference Approximation of PML
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
- On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
- Perfectly Matched Layers for the Convected Helmholtz Equation
- Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
- A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
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