Alves, Carlos J. S.Antunes, Pedro R. S.2018-02-222019-12-1620180898-1221http://hdl.handle.net/10400.2/7171In 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.engMethod of fundamental solutionsLaplace-Beltrami operatorBoundary value problemSpherejournal articlehttps://doi.org/10.1016/j.camwa.2017.12.015