This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …

This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

Optimization problems with constraints which require the solution of a partial differential
equation arise widely in many areas of the sciences and engineering, particularly in …

Saddle point systems arise widely in optimization problems with constraints. The utility of
Schur complement approximation is now broadly appreciated in the context of solving such …

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 …

We study optimal control problems in which controls with certain sparsity patterns are
preferred. For time-dependent problems the approach can be used to find locations for …

This book gives an introduction to iterative methods and preconditioning for solving
discretized elliptic partial differential equations (PDEs) and optimal control problems …

The paper describes general methodologies for the solution of design optimization
problems. In particular we outline the close relations between a fixed point solver based …

The optimal control of problems that are constrained by partial differential equations with
uncertainties and with uncertain controls is addressed. The Lagrangian that defines the …