alt

Authors

David Witman, Max Gunzburger, Janet Peterson

Title

Reduced Order Modeling Applied to Non-Local Problems

Abstract

Nonlocal theories refer to a set of concepts and methods that can be used in lieu or in combination of currently existing techniques used to solve differential equations. Peridynamics is a class of methods contained within these nonlocal theories that was developed in order to accurately model discontinuities in certain applications like fracture dynamics. These nonlocal methods rely on what is commonly referred to as a horizon, or radius in which surrounding particles interact with one another.