UBC Mathematical Biology Seminar: Steven Ruuth
Topic
A numerical method for solving partial differential equations on moving surfaces
Speakers
Details
The closest point method (CPM) is a numerical method that was originally developed to solve partial differential equations (PDEs) on smooth, static surfaces using standard finite difference and interpolation methods. In this talk, we describe a recent generalization of the CPM to evolving surfaces. In our approach, the desired surface motion is obtained by evolving the underlying surface representation via the grid based particle method. We present a number of examples to illustrate the numerical convergence properties of our proposed method. Experiments for reaction-diffusion, advection-diffusion and Cahn-Hilliard equations that are strongly coupled to the velocity of the surface are also presented.
Additional Information
ESB 4133
Steven Ruuth, SFU
Steven Ruuth, SFU
This is a Past Event
Event Type
Scientific, Seminar
Date
March 11, 2020
Time
-
Location