Numerical solutions of a boundary value problem on the sphere using RBF-collocation

Speaker: 

Quoc Thong Le Gia

Affiliation: 

UNSW

Date: 

Wed, 29/02/2012 - 12:00pm to 1:00pm

Venue: 

RC-3084

Abstract: 

Boundary value problems on the unit sphere arise naturally in geophysics and oceanography when scientists model a physical quantity on large scales. Robust numerical methods play an important role in solving these problems. In this work, we construct numerical solutions to a boundary value problem defined on a spherical cap using radial basis functions. The error analysis between the exact solution and the approximation is provided. Numerical experiments are presented to confirm theoretical estimates. This is a joint work with Kerstin Hesse.

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