Peter Benner

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...

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations. This paper develops an e...