When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

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 …

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 …

Some first and second order algorithmic approaches for the solution of PDE‐constrained
optimization problems are reviewed. An optimal control problem for the stationary Navier …

Doublet well system composed by extraction and injection wells is widely used for heat
production from deep geothermal reservoirs. The large-scale implementation of doublet well …

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 …

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 solution of time-dependent PDE-constrained optimization problems subject to unsteady
flow equations presents a challenge to both algorithms and computing power. In this paper …

We consider the numerical simulation of an optimal control problem constrained by the
unsteady Stokes–Brinkman equation involving random data. More precisely, we treat the …