A Comparison of Radial Basis Function Finite Difference Methods for Approximating the Laplace-Beltrami Operator
Presentation Date
4-10-2019
Degree Program
Mathematics, MS
Major Advisor Name
Grady Wright
Type of Submission
Scholarly Poster
Abstract
There are many applications in science and engineering that involve partial differential equations (PDEs) on surfaces: chemical diffusion through cell membranes, chemical diffusion through the atmosphere etc. Often Solutions to PDEs cannot be represented analytically, and must be approximated using numerical techniques. This poser compares three Radial Basis Function Finite Difference (RBF-FD) methods that use scattered data to obtain high-order-accurate approximations of the Laplace-Beltrami operator (surface diffusion) - a common component of PDEs on surfaces.
Funding Information
Research supported by NSF-CCF 1717556 and NSF-CCF 1714844.
COinS
