MEAM Seminar: “Computational and Mathematical Aspects of Nonlocal Models”

About this event

The first part of this presentation will provide an overview of the DOE National Laboratory complex, including opportunities for collaboration and internships. The remainder will focus on nonlocal models.

Interest in nonlocal models is growing across science and engineering because they can describe physical processes that are not well captured by PDE-based models. Their ability to resolve behavior across multiple length scales makes them particularly well suited for multiscale phenomena. I will begin by motivating nonlocal models from a physical perspective and presenting practical, massively parallel 3D computational examples. I will then examine their mathematical properties, including unintuitive results that arise from the interplay of multiple length scales. The presentation will conclude with a discussion of nonlocal physics-informed neural networks for discovering nonlocal operators.

From Mechanical Engineering and Applied Mechanics