Scientific Computational and Industrial Mathematics Seminar: Grady Wright

  • Date: 03/03/2020
  • Time: 12:30
Grady Wright, Boise State University

University of British Columbia


Solving PDEs on Surface Using Radial Basis Function Finite Differences


We discuss some recent advances in developing meshfree methods based on radial basis function generated finite differences (RBF-FD) for numerically solving partial differential equations (PDEs) on surfaces. The primary advantages of these methods are 1) they only require a set of nodes on the surface of interest and the corresponding normal vectors; 2) they can give high orders of accuracy; and 3) they algorithmically accessible. Commonly perceived disadvantages are that these methods require too many tuning parameters and that they are not well suited for advection-dominated problems. A goal of this talk will be to demonstrate how to overcome these issues with the use of polyharmonic spline kernels augmented with polynomials and semi-Lagrangian advection methods.

Other Information: 

Tuesday, March 3, 12:30-1:30 PM

Location: ESB 4133 (PIMS Seminar Room)