The method of fundamental solutions applied to boundary value problems on the surface of a sphere
Alves, Carlos J. S.; Antunes, Pedro R. S.
A publicar em Computers and Mathematics with Applications
In this work we propose using the method of fundamental solutions (MFS) to solve boundary value problems for the Helmholtz-Beltrami equation on a sphere. We prove density and convergence results that justify the proposed MFS approximation. Several numerical examples are considered to illustrate the good performance of the method.