Hamdullah Yücel

A local discontinuous Galerkin method for Dirichlet boundary control problems

Abstract In this paper, we consider control constrained L 2 -Dirichlet boundary control of a convection−diffusion equation on a two dimensional convex polygonal domain. We discretize the control problem based on the local discontinuous Galerkin method with piecewise linear ansatz...

A stochastic Galerkin method for optimal Dirichlet boundary control problems with uncertain data

Abstract The paper deals with a stochastic Galerkin approximation of elliptic Dirichlet boundary control problems with random input data. The expectation of a tracking-type cost functional with deterministic constrained control is minimized. Error estimates are derived for the co...