BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Complex-scaled integral equation with Laplace Green's function for
  time-harmonic water waves - Anne-Sophie Bonnet-Ben Dhia (ENSTA ParisTech)
DTSTART:20230417T104500Z
DTEND:20230417T113000Z
UID:TALK198691@talks.cam.ac.uk
DESCRIPTION:We present a novel boundary integral method for the time-harmo
 nic water-waves problem. In order to avoid the expensive computation of th
 e water-wave Green&rsquo\;s function\, we use only the free-space Green&rs
 quo\;s function of Laplace&rsquo\;s equation. The price to pay is that thi
 s leads to an integral equation set not only on the bounded scatterer but 
 also on the infinite free surface. If this integral is truncated for numer
 ical purposes\, either roughly or even smoothly using the so-called window
 ed Green's function\, spurious reflections of the surface wave are generat
 ed by the truncation\, and the method does not work. To overcome this diff
 iculty\, our idea is to use a perfectly matched layer (PML) coordinate-str
 etching in the horizontal direction. As a consequence\, the outgoing surfa
 ce wave becomes exponentially decaying\, so that the truncation error is e
 xponentially small with respect to the length of the PML layer.The formula
 tion uses only simple function evaluations (e.g. complex logarithmsand squ
 are roots). Note that this PML-BIE formulation for water waves remains aff
 ine with respect to the squared frequency\, which makes it very attractive
  for solving spectral problems like the computation of complex scattering 
 resonances.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR