Constrained Optimal Control Of Stationary Viscous Incompressible Fluids By Primal Dual Active Set Methods PDF Download
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Author | : Juan Carlos de los Reyes |
Publisher | : |
Total Pages | : 254 |
Release | : 2003 |
Genre | : |
ISBN | : |
Download Constrained Optimal Control of Stationary Viscous Incompressible Fluids by Primal-dual Active Set Methods Book in PDF, ePub and Kindle
Author | : Andrea Manzoni |
Publisher | : Springer Nature |
Total Pages | : 507 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 3030772268 |
Download Optimal Control of Partial Differential Equations Book in PDF, ePub and Kindle
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.
Author | : S. S. Sritharan |
Publisher | : SIAM |
Total Pages | : 210 |
Release | : 1998-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9781611971415 |
Download Optimal Control of Viscous Flow Book in PDF, ePub and Kindle
Author | : Andrea Cangiani |
Publisher | : Springer Science & Business Media |
Total Pages | : 811 |
Release | : 2013-01-20 |
Genre | : Mathematics |
ISBN | : 3642331343 |
Download Numerical Mathematics and Advanced Applications 2011 Book in PDF, ePub and Kindle
The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.
Author | : |
Publisher | : |
Total Pages | : 1884 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle
Author | : Alfio Borzi |
Publisher | : SIAM |
Total Pages | : 295 |
Release | : 2012-01-26 |
Genre | : Mathematics |
ISBN | : 1611972043 |
Download Computational Optimization of Systems Governed by Partial Differential Equations Book in PDF, ePub and Kindle
This book provides a bridge between continuous optimization and PDE modelling and focuses on the numerical solution of the corresponding problems. Intended for graduate students in PDE-constrained optimization, it is also suitable as an introduction for researchers in scientific computing or optimization.
Author | : Jan S Hesthaven |
Publisher | : Springer |
Total Pages | : 139 |
Release | : 2015-08-20 |
Genre | : Mathematics |
ISBN | : 3319224700 |
Download Certified Reduced Basis Methods for Parametrized Partial Differential Equations Book in PDF, ePub and Kindle
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.
Author | : Anders Logg |
Publisher | : Springer Science & Business Media |
Total Pages | : 723 |
Release | : 2012-02-24 |
Genre | : Computers |
ISBN | : 3642230997 |
Download Automated Solution of Differential Equations by the Finite Element Method Book in PDF, ePub and Kindle
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Author | : Peter Wriggers |
Publisher | : Springer Science & Business Media |
Total Pages | : 252 |
Release | : 2008-04-01 |
Genre | : Science |
ISBN | : 3211772987 |
Download Computational Contact Mechanics Book in PDF, ePub and Kindle
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
Author | : Peter Benner |
Publisher | : SIAM |
Total Pages | : 421 |
Release | : 2017-07-06 |
Genre | : Science |
ISBN | : 161197481X |
Download Model Reduction and Approximation Book in PDF, ePub and Kindle
Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. It is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods. It also covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).?? This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.