Scientific Computational and Industrial Mathematics Seminar: Grady Wright

  • Date: 03/03/2020
  • Time: 12:30
Lecturer(s):
Grady Wright, Boise State University
Location: 

University of British Columbia

Topic: 

Solving PDEs on Surface Using Radial Basis Function Finite Differences

Description: 

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)