PDE constrained optimization problems are frequently encountered in many academic or industrial contexts. This book shows how to attack and solve a given PDE constrained optimization problem thanks to the efficient and expert tool FreeFEM.
This book is intended for students and researchers aiming at learning how to efficiently solve, with the software FreeFEM, optimization problems under partial differential equations (PDE) constraints. The readers are expected to have a basic knowledge in the analysis and numerical solving of partial differential equations with finite element methods, in optimization, in algorithmics and numerical implementation.
All the codes are available at FreeFEMs github and can hopefully serve as templates for the users.
Chapter.1.State of the art .
Chapter.2.PDE constrained optimization
with FreeFEM.
Chapter.3.Plateau problem.
Chapter.4.Shape optimization with
FreeFEM.- A Supplements.- B Identification of parameters with FreeFEM.-
Listings.
Frédéric Hecht is Emeritus Professor at Sorbonne Université, Laboratoire Jacques-Louis Lions. He created the software FreeFEM that is widely used. Gontran Lance is Engineer at Institut Français du Pétrole et Energies Nouvelles. He got his PhD in 2021 under the supervision of Emmanuel Trélat and Enrique Zuazua. Emmanuel Trélat is a professor at Sorbonne Université and is the head of Laboratoire Jacques-Louis Lions.
