Stable and accurate outgoing wave filters for anisotropic and nonlocal waves

Avy Soffer, Chris Stucchio

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations


The Perfectly Matched Layer (PML) is currently the mainstay of absorbing boundary conditions. For some anisotropic wave equations the PML is exponentially unstable in time. We present in this work a new method of open boundaries, the phase space filter, which is stable for all wave equations. Outgoing waves can be are waves located near the boundary of the computational domain with group velocities pointing out. Phase space filtering involves periodically removing only outgoing waves from the solution, leaving non-outgoing waves unchanged. We apply this method to the Euler equations (linearized about a jet ow), Maxwell equations in a birefringent medium and the quasi-geostrophic equations.

Original languageEnglish (US)
Title of host publicationFrontiers of Applied and Computational Mathematics
Subtitle of host publicationNew Jersey Institute of Technology, USA, 19 - 21 May 2008
PublisherWorld Scientific Publishing Co.
Number of pages8
ISBN (Electronic)9789812835291
ISBN (Print)9789812835284
StatePublished - Jan 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)


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