Reduced-order modeling (ROM) for simulation and optimization : powerful algorithms as key enablers for scientific computing /: powerful algorithms as key enablers for scientific computing. (2018)

• Record Type: Book
• Further Information: Note: Winfried Keiper, Anja Milde, Stefan Volkwein, editors.
• Editors: Keiper, Winfried; Milde, Anja; Volkwein, Stefan
• Contents: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations / Peter Benner and Pawan Goyal -- Greedy Kernel Approximation for Sparse Surrogate Modeling / Bernard Haasdonk and Gabriele Santin -- Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition / Dennis Beermann, Michael Dellnitz, Sebastian Peitz and Stefan Volkwein -- Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls / Matthias Heinkenschloss and Dörte Jando -- A Direct Index 1 DAE Model of Gas Networks / Peter Benner, Maike Braukmüller and Sara Grundel -- Model Order Reduction for Rotating Electrical Machines / Zeger Bontinck, Oliver Lass, Oliver Rain and Sebastian Schöps -- Morembs-A Model Order Reduction Package for Elastic Multibody Systems and Beyond / Jörg Fehr, Dennis Grunert, Philip Holzwarth, Benjamin Fröhlich, Nadine Walker and Peter Eberhard -- Model Order Reduction a Key Technology for Digital Twins / Dirk Hartmann, Matthias Herz and Utz Wever. Intro; Preface; KoMSO Workshop; Contents; An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations; 1 Introduction; 2 Model Reduction for Quadratic-Bilinear ODEs; 3 Transformation of a QBDAE into a QBODE and Model Reduction; Computational Issues; 4 Numerical Experiment; Lid-Driven Cavity; 5 Conclusions; References; Greedy Kernel Approximation for Sparse Surrogate Modeling; 1 Introduction; 2 Scattered Data Interpolation of High-Dimensional Functions; Kernel-Based Interpolation of Scalar-Valued Functions. Dealing with Vector-Valued Functions; 3 Sparse Kernel Models via Greedy Algorithms; Greedy Methods: Symmetric VKOGA; A New Greedy Algorithm: Non-symmetric VKOGA; 4 Experiments; Example of Application on Artificial Data; Human Spine Simulation; 5 Outlook; References; Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition; 1 Introduction; 2 The Multiobjective Optimal Control Problem; The State Equation and Its Galerkin Discretization; Multiobjective Optimization; 3 Model-Order Reduction; The POD Galerkin Scheme for the State Equation; Error Estimation. Heuristic Error Correction; U-Local Reduced Bases: A Numerical Algorithm; 4 Numerical Results; Problem Specification and General Setup; Algorithmic Results; 5 Conclusion and Outlook; References; Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls; 1 Introduction; 2 Optimality Conditions and Hessian Computations; 3 Overview of Our Solution Approach; Iteration; Reduced-Order Model Hessian Approximation; Basic ROM and Augmented ROM; 4 Sequential Basic ROM Hessians for Decoupled Scalar Problems; Optimal Control Problem. Sequential Hessian Approximation Using the Basic ROM; Sequential Hessian Approximation Using the Augmented ROM; 5 Algorithms Based on Sequential Reduced-Order Models; 6 Numerical Results; 7 Conclusions; References; A Direct Index 1 DAE Model of Gas Networks; 1 Introduction; 2 The Model; Gas Physics; The Network as a Graph; Discretization; 3 Index; Tractability Index; Other Discretizations; 4 Model Order Reduction; Proper Orthogonal Decomposition; Reduced Gas Models; 5 Numerical Results; Models; Discretization Effects; Comparison of the Original and Approximated DAE; Model Order Reduction. 6 Conclusions; References; Model Order Reduction for Rotating Electrical Machines; 1 Introduction; 2 Problem Description; Model Problem; Finite Element Discretization; 3 Model Order Reduction; Reduced Order Model; Proper Orthogonal Decomposition; Adaptive Strategy; 4 Numerical Results; 5 Conclusion; References; Morembs-A Model Order Reduction Package for Elastic Multibody Systems and Beyond; 1 Introduction; 2 Morembs and MatMorembs; 3 Implemented MOR Methods and Algorithmic Improvement; Model Reduction Classes and Coupling of Reduced Order Models; Non-stationary Boundary Conditions.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (ix, 179 pages), illustrations (some color)
• Subjects: 511/.8; Mathematics; Mathematical models; Mathematical optimization; Operator equations, Nonlinear; MATHEMATICS -- General; Mathematical models; Mathematical optimization; Operator equations, Nonlinear; Mathematics; Mathematical Modeling and Industrial Mathematics; Computer-Aided Engineering (CAD, CAE) and Design; Control, Robotics, Mechatronics; Physics of Energy Technology; Applications of Mathematics; Numerical Analysis; Computers -- CAD-CAM; Technology & Engineering -- Automation; Technology & Engineering -- Power Resources -- General; Mathematics -- Applied; Mathematics -- Number Systems; Computer-aided design (CAD); Automatic control engineering; Energy technology & engineering; Applied mathematics; Numerical analysis; Computer aided design; Numerical analysis; Mathematical modelling; Electronic books; Electronic book
• Languages: English
• ISBNs: 9783319753195; 3319753193; 3319753185; 9783319753188
• Related ISBNs: 9783319753188
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed April 18, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.