PDE-constrained optimization within FreeFEM
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Beschreibung
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 FreeFEM’s github and can hopefully serve as templates for the users.
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 FreeFEM’s github and can hopefully serve as templates for the users.
shows how to efficiently use FreeFEM to solve a given PDE constrained optimization problem combines FreeFEM with expert optimization routines like IpOpt or with automatic differentiation considers a number of examples that covers various possible situations and provides reusable bases to attack other problems in various fields
Autor*in
Frédéric Hecht
Themen in »PDE-constrained optimization within FreeFEM«
Numerical PDE constrained optimization FreeFEM Direct methods Indirect methods Automatic differentiation