عنوان

Reduced-order modeling (ROM) for simulation and optimization :

(Number (ISBN

3319753185

(Number (ISBN

3319753193

(Number (ISBN

9783319753188

(Number (ISBN

9783319753195

Erroneous ISBN

9783319753188

Title Proper

Reduced-order modeling (ROM) for simulation and optimization :

General Material Designation

[Book]

Other Title Information

powerful algorithms as key enablers for scientific computing /

First Statement of Responsibility

Winfried Keiper, Anja Milde, Stefan Volkwein, editors.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (ix, 179 pages) :

Other Physical Details

illustrations (some color)

Text of Note

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.

Text of Note

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.

Text of Note

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.

Text of Note

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.

Text of Note

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.

Text of Note

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.

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Text of Note

This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new out-of-the-box algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319753195

International Standard Book Number

9783319753188

Mathematical models.

Mathematical optimization.

Operator equations, Nonlinear.

Applied mathematics.

Automatic control engineering.

Computer-aided design (CAD)

Energy technology & engineering.

Mathematical modelling.

Mathematical models.

Mathematical optimization.

MATHEMATICS-- General.

Numerical analysis.

Operator equations, Nonlinear.

MAT-- 000000

PBWH

TBJ

Number

Edition

Class number

Keiper, Winfried

Milde, Anja

Volkwein, Stefan

Date of Transaction

20200823105813.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y