The method of fundamental solutions applied to boundary value problems on the surface of a sphere

Alves, Carlos J. S.; Antunes, Pedro R. S.

http://hdl.handle.net/10400.2/7171

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
A31.pdf		1.43 MB	Adobe PDF	Download

Send Feedback

Authors

Alves, Carlos J. S.

Antunes, Pedro R. S.

Abstract(s)

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.