Tröltzsch, Fredi 1951
Overview
Works:  72 works in 165 publications in 3 languages and 1,742 library holdings 

Genres:  Conference papers and proceedings Textbooks 
Roles:  Author, Editor, dgs, Other, Collector, Honoree, Contributor, htt 
Classifications:  QA402.3, 515.353 
Publication Timeline
.
Most widely held works by
Fredi Tröltzsch
Optimal control of partial differential equations : theory, methods, and applications by
Fredi Tröltzsch(
Book
)
26 editions published between 2005 and 2012 in English and German and held by 549 WorldCat member libraries worldwide
"Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, secondorder sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the KarushKuhnTucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book selfcontained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly selfcontained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDEconstrained optimization."Publisher's description
26 editions published between 2005 and 2012 in English and German and held by 549 WorldCat member libraries worldwide
"Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, secondorder sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the KarushKuhnTucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book selfcontained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly selfcontained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDEconstrained optimization."Publisher's description
System modeling and optimization : 25th IFIP TC 7 conference, CSMO 2011, Berlin, Germany, September 1216, 2011, revised selected
papers by
Dietmar Hömberg(
)
12 editions published between 2013 and 2015 in English and German and held by 401 WorldCat member libraries worldwide
This book is a collection of thoroughly refereed papers presented at the 25th IFIP TC 7 Conference on System Modeling and Optimization, held in Dresden, Germany, in September 2011. The 55 revised papers were carefully selected from numerous submissions. They are organized in the following topical sections: control of distributed parameter systems; stochastic optimization and control; stabilization, feedback, and model predictive control; flow control; shape and structural optimization; and applications and control of lumped parameter systems
12 editions published between 2013 and 2015 in English and German and held by 401 WorldCat member libraries worldwide
This book is a collection of thoroughly refereed papers presented at the 25th IFIP TC 7 Conference on System Modeling and Optimization, held in Dresden, Germany, in September 2011. The 55 revised papers were carefully selected from numerous submissions. They are organized in the following topical sections: control of distributed parameter systems; stochastic optimization and control; stabilization, feedback, and model predictive control; flow control; shape and structural optimization; and applications and control of lumped parameter systems
Optimal control of partial differential equations : international conference in Chemnitz, Germany, April 2025, 1998 by
K.H Hoffmann(
Book
)
10 editions published in 1999 in English and held by 215 WorldCat member libraries worldwide
"This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998. The conference was organized by the editors of this volume. This volume offers a wide spectrum of aspects of the discipline and is of interest to mathematicians as well as to scientists working in the fields of applications."BOOK JACKET
10 editions published in 1999 in English and held by 215 WorldCat member libraries worldwide
"This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998. The conference was organized by the editors of this volume. This volume offers a wide spectrum of aspects of the discipline and is of interest to mathematicians as well as to scientists working in the fields of applications."BOOK JACKET
Optimality conditions for parabolic control problems and applications by
Fredi Tröltzsch(
Book
)
11 editions published in 1984 in 3 languages and held by 121 WorldCat member libraries worldwide
11 editions published in 1984 in 3 languages and held by 121 WorldCat member libraries worldwide
Problems and methods in mathematical physics by
Lothar Jentsch(
Book
)
9 editions published between 1994 and 2014 in English and German and held by 61 WorldCat member libraries worldwide
9 editions published between 1994 and 2014 in English and German and held by 61 WorldCat member libraries worldwide
Optimal control of coupled systems of partial differential equations by
K Kunisch(
)
8 editions published in 2009 in English and held by 34 WorldCat member libraries worldwide
Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, modelreduction techniques, and fluidstructure interactions
8 editions published in 2009 in English and held by 34 WorldCat member libraries worldwide
Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, modelreduction techniques, and fluidstructure interactions
Numerical analysis of PDE constrained optimal control problems with pointwise inequality constraints on the state and the
control by Ira Neitzel(
)
2 editions published in 2011 in English and held by 30 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 30 WorldCat member libraries worldwide
Optimal Dirichlet boundary control problems of highlift configurations with control and integral state constraints by Christian John(
)
2 editions published in 2011 in English and held by 30 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 30 WorldCat member libraries worldwide
Control of coupled partial differential equations by
K Kunisch(
)
6 editions published in 2007 in English and held by 28 WorldCat member libraries worldwide
This volume contains selected contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in April 2005. With their articles, leading scientists cover a broad range of topics such as controllability, feedbackcontrol, optimality systems, modelreduction techniques, analysis and optimal control of flow problems, and fluidstructure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micromechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more. The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing
6 editions published in 2007 in English and held by 28 WorldCat member libraries worldwide
This volume contains selected contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in April 2005. With their articles, leading scientists cover a broad range of topics such as controllability, feedbackcontrol, optimality systems, modelreduction techniques, analysis and optimal control of flow problems, and fluidstructure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micromechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more. The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing
Discretization strategies for optimal control problems with parabolic partial differential equations by
Thomas Gerhard Flaig(
)
1 edition published in 2013 in English and held by 20 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 20 WorldCat member libraries worldwide
Optimal boundary control of quasilinear elliptic partial differential equations: theory and numerical analysis by Vili Dhamo(
)
2 editions published in 2012 in English and held by 18 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 18 WorldCat member libraries worldwide
Optimal trajectory tracking by
Jakob Löber(
)
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 18 WorldCat member libraries worldwide
A Theoretical and Numerical Analysis of a KohnSham Equation and Related Control Problems by
M Sprengel(
)
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
Numerische Verfahren der Optimalsteuerung von Magnetfeldern by
Kristof Altmann(
)
1 edition published in 2013 in German and held by 17 WorldCat member libraries worldwide
1 edition published in 2013 in German and held by 17 WorldCat member libraries worldwide
The convergence of an interior point method for a elliptic control problem with mixed control state constraints by
Uwe Prüfert(
Book
)
3 editions published in 2004 in English and held by 16 WorldCat member libraries worldwide
Abstract: "The paper addresses primal interior point method for state constrained PDE optimal control problems. By a Lavrentiev regularization, the state constraint is transformed to a mixed controlstate constraint with bounded Lagrange multiplier. Existence and convergence of the central path are established, and linear convergence of a shortstep pathfollowing method is shown. The behaviour of the regularizations are demonstrated by numerical examples."
3 editions published in 2004 in English and held by 16 WorldCat member libraries worldwide
Abstract: "The paper addresses primal interior point method for state constrained PDE optimal control problems. By a Lavrentiev regularization, the state constraint is transformed to a mixed controlstate constraint with bounded Lagrange multiplier. Existence and convergence of the central path are established, and linear convergence of a shortstep pathfollowing method is shown. The behaviour of the regularizations are demonstrated by numerical examples."
Verallgemeinerte Lösungen der EricksenLeslieGleichungen zur Beschreibung von Flüssigkristallen by
Robert Lasarzik(
)
1 edition published in 2017 in German and held by 15 WorldCat member libraries worldwide
1 edition published in 2017 in German and held by 15 WorldCat member libraries worldwide
On sequences of integers of quadratic fields and computations by
Nihal Bircan(
)
1 edition published in 2014 in English and held by 12 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 12 WorldCat member libraries worldwide
Fast solution of optimal control problems in the selective cooling of steel by
Fredi Tröltzsch(
Book
)
1 edition published in 1999 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 9 WorldCat member libraries worldwide
Error estimates for a semilinear elliptic control problem by
Nadir Arada(
Book
)
3 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide
On an augmented lagrangian SQP method for a class of optimal control problems in Banach spaces by
Nadir Arada(
Book
)
5 editions published between 2000 and 2002 in English and German and held by 8 WorldCat member libraries worldwide
5 editions published between 2000 and 2002 in English and German and held by 8 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Hömberg, Dietmar Author Editor
 Leugering, Günter 1953 Collector Editor
 Hoffmann, K.H (KarlHeinz) Collector Editor Author
 Sprekels, Jürgen Translator Editor Author
 Kunisch, Karl Author Editor
 Jentsch, Lothar Other Author Editor
 John, Christian Author
 Neitzel, Ira Author
 Flaig, Thomas Gerhard Author
 Vexler, Boris
Associated Subjects
Automatic control Computer science Computer simulation Computer system failures Constraint programming (Computer science) Control theory Coupled problems (Complex systems) Differential equations, Parabolic Differential equations, Partial Electronic data processing Engineering Global analysis (Mathematics) Lagrangian functions Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematical physics Mathematical statistics Mathematics Multipliers (Mathematical analysis) Numerical analysis System analysis System analysisMathematical models