A Mathematical Analysis of the PML Method

✍ Scribed by Saul Abarbanel; David Gottlieb

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 289 KB
• Volume: 134
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5717

✦ Synopsis

not strongly well-posed. As a result, under a perturbation of size ͳ, the solution will have an explosive mode propor-A detailed mathematical analysis of the Berenger PML method for the electromagnetic equations is carried out on the PDE level,

as well as for the semidiscrete and fully discrete formulations. It is

In Section III we consider the semidiscrete (discretizing shown that the split set of equations is not strongly well-posed and space only) version of the PML formulation. The analysis that under certain conditions its solutions may be inapprois carried out for central spatial differencing of arbitrary priate. ᮊ 1997 Academic Press order of accuracy. We show that each of the split (nonphysical) magnetic components diverges as the spatial mesh becomes finer (⌬x Ǟ 0), and for a fixed ⌬x they grow