If f:R^n→R is twice continuously differentiable, f′(u)= 0 and f ″(u) is positive definite, then u
is a local minimizer of f. This paper surveys the extension of this well known second order …

The objective of this monograph is the treatment of a general class of nonlinear variational
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

In this article, we motivate, derive, and test effective preconditioners to be used with the
Minres algorithm for solving a number of saddle point systems which arise in PDE …

In this paper we investigate POD discretizations of abstract linear–quadratic optimal control
problems with control constraints. We apply the discrete technique developed by Hinze …

We present a new algorithm for estimating parameters in reaction–diffusion systems that
display pattern formation via the mechanism of diffusion-driven instability. A Modified …

The paper is devoted to an optimal control problem for a system of three nonlinear parabolic
equations from population dynamics. The equations model a trophic chain consisting of a …

PDE-constrained optimization problems, and the development of preconditioned iterative
methods for the efficient solution of the arising matrix systems, is a field of numerical analysis …

We consider parameter identification for the classic Gierer--Meinhardt reaction-diffusion
system. The original Gierer--Meinhardt model [A. Gierer and H. Meinhardt, Kybernetik, 12 …

We investigate smooth and sparse optimal control problems for convective FitzHugh–
Nagumo equation with traveling wave solutions in moving excitable media. The cost function …