CAM Seminar

Speaker: Joshua Siktar
Affiliation: UTK

Title: An Optimal Control Problem in Peridynamics: Analysis and Discretization

Abstract: In this talk, we investigate a non-local optimal control problem in solid mechanics, involving a linear, bond-based peridynamics model. In addition to establishing the well-posedness of our problems, we study the behavior as the horizon parameter, which controls the degree of nonlocality, approaches zero. We then analyze a finite element-based discretization of this problem, its convergence, and the so-called asymptotic compatibility as both the discretization parameter and the horizon parameter tend to zero.