Información del autor
Autor Leugering, Günter |
Documentos disponibles escritos por este autor (4)
Refinar búsquedaConstrained Optimization and Optimal Control for Partial Differential Equations / SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan (2012)
Título : Constrained Optimization and Optimal Control for Partial Differential Equations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan Editorial: Basel : Springer Basel Fecha de publicación: 2012 Colección: International Series of Numerical Mathematics num. 160 Número de páginas: XII, 624 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0133-1 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Computer mathematics Mathematical optimization Differential Equations Optimization Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: 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 contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization Nota de contenido: Introduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications En línea: http://dx.doi.org/10.1007/978-3-0348-0133-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32856 Constrained Optimization and Optimal Control for Partial Differential Equations [documento electrónico] / SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan . - Basel : Springer Basel, 2012 . - XII, 624 p : online resource. - (International Series of Numerical Mathematics; 160) .
ISBN : 978-3-0348-0133-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Computer mathematics Mathematical optimization Differential Equations Optimization Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: 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 contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization Nota de contenido: Introduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications En línea: http://dx.doi.org/10.1007/978-3-0348-0133-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32856 Ejemplares
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Título : Control of Coupled Partial Differential Equations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Kunisch, Karl ; Sprekels, Jürgen ; Leugering, Günter ; Tröltzsch, Fredi Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Colección: International Series of Numerical Mathematics num. 155 Número de páginas: VII, 384 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7721-2 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations System theory optimization Differential Equations Systems Theory, Control Optimization Clasificación: 51 Matemáticas Resumen: 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, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure 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 micro-mechanical 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 Nota de contenido: A Sharp Geometric Condition for the Boundary Exponential Stabilizability of a Square Plate by Moment Feedbacks only -- Local Exponential Stabilization Strategies of the Navier-Stokes Equations, d = 2, 3, via Feedback Stabilization of its Linearization -- Convergence Analysis of an Adaptive Finite Element Method for Distributed Control Problems with Control Constraints -- Optimal Boundary Control in Flood Management -- On Two Numerical Approaches for the Boundary Control Stabilization of Semi-linear Parabolic Systems: A Comparison -- Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation -- Optimal and Model Predictive Control of the Boussinesq Approximation -- Applications of Semi-smooth Newton Methods to Variational Inequalities -- Identification of Nonlinear Coefficients in Hyperbolic PDEs, with Application to Piezoelectricity -- An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions -- Shape Optimization for Navier-Stokes Equations -- A Family of Stabilization Problems for the Oseen Equations -- Beyond Bilinear Controllability: Applications to Quantum Control -- Optimal Control Problems with Convex Control Constraints -- Control of Moving Domains, Shape Stabilization and Variational Tube Formulations En línea: http://dx.doi.org/10.1007/978-3-7643-7721-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34681 Control of Coupled Partial Differential Equations [documento electrónico] / SpringerLink (Online service) ; Kunisch, Karl ; Sprekels, Jürgen ; Leugering, Günter ; Tröltzsch, Fredi . - Basel : Birkhäuser Basel, 2007 . - VII, 384 p : online resource. - (International Series of Numerical Mathematics; 155) .
ISBN : 978-3-7643-7721-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations System theory optimization Differential Equations Systems Theory, Control Optimization Clasificación: 51 Matemáticas Resumen: 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, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure 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 micro-mechanical 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 Nota de contenido: A Sharp Geometric Condition for the Boundary Exponential Stabilizability of a Square Plate by Moment Feedbacks only -- Local Exponential Stabilization Strategies of the Navier-Stokes Equations, d = 2, 3, via Feedback Stabilization of its Linearization -- Convergence Analysis of an Adaptive Finite Element Method for Distributed Control Problems with Control Constraints -- Optimal Boundary Control in Flood Management -- On Two Numerical Approaches for the Boundary Control Stabilization of Semi-linear Parabolic Systems: A Comparison -- Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation -- Optimal and Model Predictive Control of the Boussinesq Approximation -- Applications of Semi-smooth Newton Methods to Variational Inequalities -- Identification of Nonlinear Coefficients in Hyperbolic PDEs, with Application to Piezoelectricity -- An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions -- Shape Optimization for Navier-Stokes Equations -- A Family of Stabilization Problems for the Oseen Equations -- Beyond Bilinear Controllability: Applications to Quantum Control -- Optimal Control Problems with Convex Control Constraints -- Control of Moving Domains, Shape Stabilization and Variational Tube Formulations En línea: http://dx.doi.org/10.1007/978-3-7643-7721-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34681 Ejemplares
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Título : Mathematical Optimization of Water Networks Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Martin, Alexander ; Klamroth, Kathrin ; Lang, Jens ; Leugering, Günter ; Morsi, Antonio ; Oberlack, Martin ; Ostrowski, Manfred ; Rosen, Roland Editorial: Basel : Springer Basel Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: International Series of Numerical Mathematics num. 162 Número de páginas: XIV, 196 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0436-3 Idioma : Inglés (eng) Palabras clave: Mathematics Water-supply Computer mathematics Mathematical optimization Calculus of variations Optimization Water Industry/Water Technologies Computational and Numerical Analysis Variations Optimal Control; Mathematics, general Clasificación: 51 Matemáticas Resumen: Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. The networks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex model systems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades; usually with very limited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF) Nota de contenido: Part I Optimization of Water Supply Networks -- Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems -- Simulation and Continuous Optimization -- Mixed Integer Optimizationof Water Supply Networks -- Nonlinear and Mixed Integer Linear Programming -- Part II Optimal Control of Sewer Networks -- Optimal Control of Sewer Networks Problem Description -- Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows -- Optimal Control of Sewer Networks Engineers View -- Real-Time Control of Urban Drainage Systems -- Performance and Comparison of BlueM.MPC and Lamatto -- Multicriteria Optimization in Wastewater Management En línea: http://dx.doi.org/10.1007/978-3-0348-0436-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32894 Mathematical Optimization of Water Networks [documento electrónico] / SpringerLink (Online service) ; Martin, Alexander ; Klamroth, Kathrin ; Lang, Jens ; Leugering, Günter ; Morsi, Antonio ; Oberlack, Martin ; Ostrowski, Manfred ; Rosen, Roland . - Basel : Springer Basel : Imprint: Birkhäuser, 2012 . - XIV, 196 p : online resource. - (International Series of Numerical Mathematics; 162) .
ISBN : 978-3-0348-0436-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Water-supply Computer mathematics Mathematical optimization Calculus of variations Optimization Water Industry/Water Technologies Computational and Numerical Analysis Variations Optimal Control; Mathematics, general Clasificación: 51 Matemáticas Resumen: Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. The networks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex model systems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades; usually with very limited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF) Nota de contenido: Part I Optimization of Water Supply Networks -- Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems -- Simulation and Continuous Optimization -- Mixed Integer Optimizationof Water Supply Networks -- Nonlinear and Mixed Integer Linear Programming -- Part II Optimal Control of Sewer Networks -- Optimal Control of Sewer Networks Problem Description -- Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows -- Optimal Control of Sewer Networks Engineers View -- Real-Time Control of Urban Drainage Systems -- Performance and Comparison of BlueM.MPC and Lamatto -- Multicriteria Optimization in Wastewater Management En línea: http://dx.doi.org/10.1007/978-3-0348-0436-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32894 Ejemplares
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Título : Optimal Control of Coupled Systems of Partial Differential Equations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Kunisch, Karl ; Sprekels, Jürgen ; Leugering, Günter ; Tröltzsch, Fredi Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: International Series of Numerical Mathematics num. 158 Número de páginas: VIII, 345 p. 45 illus., 15 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-7643-8923-9 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Nota de contenido: Beyond Lack of Compactness and Lack of Stability of a Coupled Parabolic-Hyperbolic Fluid-Structure System -- A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow -- Recent Advances in the Analysis of State-constrained Elliptic Optimal Control Problems -- Fast and Strongly Localized Observation for a perturbed Plate Equation -- Representations, Composition, and Decomposition of C 1,1-hypersurfaces -- On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints -- Weak Solutions to a Model for Crystal Growth from the Melt in Changing Magnetic Fields -- Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints -- Nonlinear Feedback Solutions for a Class of Quantum Control Problems -- Optimal Feedback Synthesis for Bolza Control Problem Arising in Linearized Fluid Structure Interaction -- Single-step One-shot Aerodynamic Shape Optimization -- Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations -- Null-controllability for a Coupled Heat-Finite-dimensional Beam System -- Feedback Modal Control of Partial Differential Equations -- Optimization Problems for Thin Elastic Structures -- A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization -- How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems -- Hidden Boundary Shape Derivative for the Solution to Maxwell Equations and Non Cylindrical Wave Equations En línea: http://dx.doi.org/10.1007/978-3-7643-8923-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34094 Optimal Control of Coupled Systems of Partial Differential Equations [documento electrónico] / SpringerLink (Online service) ; Kunisch, Karl ; Sprekels, Jürgen ; Leugering, Günter ; Tröltzsch, Fredi . - Basel : Birkhäuser Basel, 2009 . - VIII, 345 p. 45 illus., 15 illus. in color : online resource. - (International Series of Numerical Mathematics; 158) .
ISBN : 978-3-7643-8923-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Nota de contenido: Beyond Lack of Compactness and Lack of Stability of a Coupled Parabolic-Hyperbolic Fluid-Structure System -- A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow -- Recent Advances in the Analysis of State-constrained Elliptic Optimal Control Problems -- Fast and Strongly Localized Observation for a perturbed Plate Equation -- Representations, Composition, and Decomposition of C 1,1-hypersurfaces -- On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints -- Weak Solutions to a Model for Crystal Growth from the Melt in Changing Magnetic Fields -- Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints -- Nonlinear Feedback Solutions for a Class of Quantum Control Problems -- Optimal Feedback Synthesis for Bolza Control Problem Arising in Linearized Fluid Structure Interaction -- Single-step One-shot Aerodynamic Shape Optimization -- Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations -- Null-controllability for a Coupled Heat-Finite-dimensional Beam System -- Feedback Modal Control of Partial Differential Equations -- Optimization Problems for Thin Elastic Structures -- A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization -- How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems -- Hidden Boundary Shape Derivative for the Solution to Maxwell Equations and Non Cylindrical Wave Equations En línea: http://dx.doi.org/10.1007/978-3-7643-8923-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34094 Ejemplares
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