Friday,
October 20, 1:40 p.m. GWC 604
Rodrigo Platte
Dept. Math. & Stats
Radial Basis Function Methods for PDEs
Abstract
Radial basis function (RBF) approximations have been successfully used to
solve partial differential equations in multidimensional complex domains.
RBF methods are often called meshfree numerical schemes since they can be
implemented without an underlying mesh. We are particularly interested in
the class of RBFs that allow exponential convergence for smooth problems.
In the presence of rounding errors, however; stable and highly accurate
approximations are often difficult even for simple geometries. We study
this difficulty and remedies at theoretical and practical levels. In
particular, we explore adaptive and least squares RBF algorithms for PDEs.
For further information please contact:
mittelmann@asu.edu
