The Perfectly Matched Layer in Curvilinear Coordinates - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1996

The Perfectly Matched Layer in Curvilinear Coordinates


In 1994 Bérenger showed how to construct a perfectly matched absorbing layer for the Maxwell system in rectilinear coordinates. This layer absorbs waves of any wave-length and any frequency without reflection and thus can be used to artificially terminate the domain of scattering calculations. In this paper we show how to derive and implement the Bérenger layer in curvilinear coordinates (in two space dimensions). We prove that an infinite layer of this type can be used to solve time harmonic scattering problems. We also show that the truncated Bérenger problem has a solution except at a discrete set of exceptional frequencies (which might be empty). Finally numerical results show that the curvilinear layer can produce accurate solutions in the time and frequency domain.
Fichier principal
Vignette du fichier
RR-3049.pdf (1.93 Mo) Télécharger le fichier

Dates and versions

inria-00073643 , version 1 (24-05-2006)


  • HAL Id : inria-00073643 , version 1


Francis Collino, Peter Monk. The Perfectly Matched Layer in Curvilinear Coordinates. [Research Report] RR-3049, INRIA. 1996. ⟨inria-00073643⟩
160 View
636 Download


Gmail Facebook Twitter LinkedIn More