A typical subsystem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i.e., before deployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The defining philosophy of this monograph is that in order to understand completely the dynamic response of such a complex elastic...
A typical subsystem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or...
Optimal control of partial differential equations (PDEs) is by now, after more than 50 years of ever increasing scientific interest, a well established discipline in mathematics with many interfaces to science and engineering. During the development of this area, the complexity of the systems to be controlled has also increased significantly, so that today fluid-structure interactions, magneto-hydromechanical, or electromagnetical as well as chemical and civil engineering problems can be dealt with. However, the numerical realization of optimal controls based on optimality conditions,...
Optimal control of partial differential equations (PDEs) is by now, after more than 50 years of ever increasing scientific interest, a well establi...
Gunter Leugering Sebastian Engell Andreas Griewank
This volume focuses on optimization and control of processes governed by partial differential equations. It is organized in sections which cover almost the entire spectrum of modern research in this emerging field.
This volume focuses on optimization and control of processes governed by partial differential equations. It is organized in sections which cover almos...
J. E. Lagnese Gunter Leugering E. J. P. G. Schmidt
The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the motion of multiple-link flexible structures will be developed. The structures which we have in mind consist of finitely many interconnected flexible ele- ments such as strings, beams, plates and shells or combinations thereof and are representative of trusses, frames, robot arms, solar panels, antennae, deformable mirrors, etc., currently in use. For example, a typical subsys- tem found in almost all aircraft and space vehicles consists of beam,...
The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the ...
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have be...
The application of PDE-based control theory and the corresponding numerical algorithms to industrial problems have become increasingly important in recent years. This volume offers a wide spectrum of aspects of the discipline, and is of interest to mathematicians and scientists working in the field.
The application of PDE-based control theory and the corresponding numerical algorithms to industrial problems have become increasingly important in...
Gunter Leugering Sebastian Engell Andreas Griewank
This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The...
This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participa...
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on "Optimization with Partial Differential Equations" from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE...
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context ...
In this collection of essays one finds contributions from Davide Buoso, Giuseppe Buttazzo, Michel Delfour, Gianpaolo Leonardi, Dario Mazzoleni, Al-hassem Nayam, Alberto Paganini, Volker Schulz, Jan Sokolowski, Kevin Sturm, Michiel Van den Berg, Bozhidar Velichkov and Alessandro Zilio. New trends in Shape Optimization was the title of a Workshop that we have organized in Erlangen in September 2013. We have had a very interesting week with many contributions by both senior mathematicians and young students; in particular, many open problems have been described, and a fruitful spontaneous...
In this collection of essays one finds contributions from Davide Buoso, Giuseppe Buttazzo, Michel Delfour, Gianpaolo Leonardi, Dario Mazzoleni, Al-has...
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on "Optimization with Partial Differential Equations" from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE...
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context ...
