Mathematics Applied Mathematics Seminar: Joshua Sitkar: Analysis of Optimal Control and Optimal Desi
This event is in the past.
When:
February 28, 2024
11:30 a.m. to 12:30 p.m.
11:30 a.m. to 12:30 p.m.
Where:
Event category:
Seminar
In-person
Speaker: Joshua Sitkar, The University of Tennessee
Title: Analysis of Optimal Control and Optimal Design Problems in Peridynamics
Abstract:
| In this talk we will discuss two families of problems on peridynamics models: the first is an optimal control problem where the admissible set is governed by a specified relationship between the force applied to a fixed material and the resulting displacement. The second is an optimal design problem where the applied force is fixed and we choose the material that results in a desired displacement. The analytical frameworks for these problems will be dissected and contrasted. We will also discuss the finite element approximation of solutions to the optimal control problem. |