DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Johannes Pfefferer, Technical University Munich

**Title: ***
Finite element error estimates for Dirichlet boundary control problems in polygonal domains
*

**Abstract:**
In this talk we discuss convergence results for finite element discretized Dirichlet control
problems in polygonal domains. We investigate unconstrained as well as control constrained problems.
In both cases we discretize the state and the control by piecewise linear and continuous functions.
The error estimates, which we obtain, mainly depend on the size of the interior angles but also on
the presence of control constraints and the structure of the underlying mesh. For instance,
considering non-convex domains, the convergence rates of the discrete optimal controls in the unconstrained
case can even be worse than in the control constrained case.

**Time:** Tuesday, August 23, 2016, 1:30-2:20 p.m.

**Place:** Exploratory Hall, Room 4106

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