Advisor(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.
Description
Keywords
Method of fundamental solutions Laplace-Beltrami operator Boundary value problem Sphere
Pedagogical Context
Citation
Publisher
Elsevier