GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
COLLOQUIUM
NOVEMBER 8, 2019


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.

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491