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Solving the Laplace and Helmholtz equation on domains with corners using rational functions and their analogs

Presented by: 
Abinand Gopal University of Oxford
Date: 
Tuesday 10th December 2019 - 14:30 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
The solutions to elliptic PDEs on domains with corners often exhibit singularities at the corners, which pose difficulties for numerical methods. Recently, it was found that the approximation power of rational functions can be used in this context to obtain higher-order convergence, in a manner related to the method of fundamental solutions. In this talk, we focus on the extension of these ideas to the case of Helmholtz equation.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons