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SUMMARY:Solving the Laplace and Helmholtz equation on domains with corners
  using rational functions and their analogs - Abinand Gopal (University of
  Oxford)
DTSTART:20191210T143000Z
DTEND:20191210T150000Z
UID:TALK135523@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The solutions to elliptic PDEs on domains with corners often e
 xhibit singularities at the corners\, which pose difficulties for numerica
 l methods. Recently\, it was found that the approximation power of rationa
 l functions can be used in this context to obtain higher-order convergence
 \, in a manner related to the method of fundamental solutions. In this tal
 k\, we focus on the extension of these ideas to the case of Helmholtz equa
 tion.
LOCATION:Seminar Room 1\, Newton Institute
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