Title | ||
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An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems |
Abstract | ||
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We introduce an optimal bounded perfectly matched layer (PML) technique by choosing a particular absorbing function with unbounded integral. With this choice, spurious reflections are avoided, even though the thickness of the layer is finite. We show that such choice is easy to implement in a finite element method and overcomes the dependency of parameters for the discrete problem. Finally, its efficiency and accuracy are illustrated with some numerical tests. |
Year | DOI | Venue |
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2007 | 10.1016/j.jcp.2006.09.018 | J. Comput. Physics |
Keywords | Field | DocType |
finite element method,spurious reflection,unbounded absorbing function,particular absorbing function,time-harmonic acoustic,time-harmonic scattering,perfectly matched layer,numerical test,helmholtz equation,discrete problem | Perfectly matched layer,Harmonic function,Mathematical analysis,Harmonic,Finite element method,Helmholtz equation,Scattering,Spurious relationship,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
223 | 2 | Journal of Computational Physics |
Citations | PageRank | References |
6 | 0.70 | 7 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Bermúdez | 1 | 25 | 3.73 |
L. Hervella-Nieto | 2 | 29 | 5.55 |
A. Prieto | 3 | 6 | 0.70 |
R. Rodríguez | 4 | 72 | 19.18 |