Mathematics Colloquium: An overview of PDE constrained optimization with applications

Speaker: Thomas Brown, George Mason University

Title: An overview of PDE constrained optimization with applications

Abstract: Optimization problems with partial differential equations (PDEs) as constraints is known as PDE Constrained Optimization. In this talk, we will discuss an abstract formulation of the problem as well as methods for solving such problems. We then present two specific problems. One application involves elastic waves propagating through a piezoelectric solid where the PDE constraints take the form of a coupled PDE system. The other application involves fractional (nonlocal) PDE constraints, which have various applications including image denoising.

Time: Friday, November 8, 2019, 3:30-4:20 p.m.

Place: Exploratory Hall, room 4106

Refreshments will be served at 3:00 p.m.