Title
An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
Abstract
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
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. Bermúdez1253.73
L. Hervella-Nieto2295.55
A. Prieto360.70
R. Rodríguez47219.18