Mathematical Sciences Department Colloquium
Michael Parks, Oakridge National Lab
Friday, April 11th
11:00am - 12:00 pm
Title: Computational and Mathematical Aspects of Nonlocal Models
Abstract: Interest in nonlocal models continues to grow in scientific and engineering communities due to their ability to describe physical processes which are not well represented by PDE-based models. In particular, nonlocal models are useful in that they can resolve phenomena at multiple length scales, making them suitable models for multiscale phenomena. I will provide some physical motivation for nonlocal models, show some practical 3D massively parallel computational examples using nonlocal models, and then dive into mathematical aspects of nonlocal models including non-intuitive results caused by the interplay of multiple length scales. I will conclude with a discussion of nonlocal physics-informed neural networks for nonlocal operator discovery.
Bio: Michael Parks is the Director of the Computer Science and Mathematics Division at Oak Ridge National Laboratory (ORNL) in Oak Ridge, Tennessee. Prior to moving to ORNL, he was the manager of the Computational Mathematics department in the Center for Computing Research at Sandia National Laboratories in Albuquerque, New Mexico. His research interests include nonlocal models, especially peridynamics, multiscale modeling and simulation, domain decomposition methods, and iterative solvers. He holds bachelor’s degrees in computer science and physics as well as a master’s degree in computer science from Virginia Tech. He earned his Ph.D. in computer science with the scientific computing group at the University of Illinois.