Speaker: Thomas Brown, George Mason University
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.
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491