Radial Basis Function Methods for Interpolation and Collocation Problems: Adaptive and Partition of Unity Schemes

Alfa Heryudono
Department of Mathematics
University of Massachusetts
Dartmouth, MA 02747


RBF methods, which are widely known as methods for scattered data interpolation, have been becoming popular for numerical solutions for PDEs. In the first half of my talk, I will discuss adaptive RBF methods for solving collocation problems with localized features. For the second half, I will talk about RBF methods in partition of unity scheme for solving 2D Poisson's equation on irregular domains. This is a joint work with Elisabeth Larsson.