Solving the Laplace and Helmholtz equation on domains with corners using rational functions and their analogs – Abinand Gopal (University of Oxford)

December 10, 2019 @ 2:30 pm – 3:00 pm
Seminar Room 1
Newton Institute

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.