Robust Parameter Mesh-Free Preconditioner for a Boundary Control Elliptic Problem
March 5, 2012
3:00 p.m.
Marcus Sarkis
Abstract
We discuss the following problem: Given a domain Ω and a target function u, what should be the Neumann data λ so that its harmonic extension u(λ) into the domain Ω is the closest function to u in the L2-norm? For convex polygonal domain, we show that regularization is not needed if the control space for the Neumann data is chosen properly. In the second part of the talk we discuss robust solvers for the discrete Hessian system posed on the boundary of the domain Ω.