Events for 05/01/2024 from all calendars

Student/Postdoc Working Geometry Seminar

Time: 09:00AM - 10:00AM

Location: BLOC 628

Speaker: T. Mandziuk, Texas A&M

Title: Beyond weak border apolarity II

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Joshua Siktar, University of Tennessee, Knoxville

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

Abstract: In this talk we will discuss a nonlocal optimal control problem minimizing an abstract cost functional, where the constraint is a strongly coupled system of nonlocal equations derived from the bond-based model of peridynamics. We will demonstrate well-posedness of the optimal control problem, consider the variational convergence to a local control problem as the horizon limit (nonlocal modeling parameter) approaches 0, and discuss the error analysis through a conforming finite element method. After that, we will discuss asymptotic compatibility, which amounts to the unconditional convergence as the horizon limit and mesh parameter both become arbitrarily small with appropriate choice of discretization, and the extension of this notion to our optimal control problems.