Pablo Pedregal Tercero, Universidad de Castilla-La Mancha

A numerical method of local energy decay for the boundary controllability of time-reversible distributed parameter systems.

Abstract: The problem of the exact boundary controllability of linear, time-reversible, second-order evolution systems is rather well-understood from a mathematical point of view. However, the numerical implementation is still a challenge due to the appearance of numerical spurious high frequency solutions. We will explore the capability of a procedure (based on a method introduced by Russell) to approximate such controls, which is based on the energy decay of the solution of a certain Cauchy problem associated with the original control system. The method, which relies on rather basic ideas, will be illustrated for the Klein-Gordon and Euler-Bernoulli equations in 1D, the wave equation on a rectangle, and the plate equation in a disk.

THURSDAY,April 9, 2009
Time: 1:30 P.M.
Location: PPB 300