Existence For Shape Optimization Problems In Arbitrary Dimension

Download Existence For Shape Optimization Problems In Arbitrary Dimension full books in PDF, epub, and Kindle. Read online Existence For Shape Optimization Problems In Arbitrary Dimension ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Existence and Regularity Results for Some Shape Optimization Problems

Download Existence and Regularity Results for Some Shape Optimization Problems PDF Online Free

Author : Bozhidar Velichkov
Publisher : Springer
ISBN 13 : 8876425276
Total Pages : 362 pages
Book Rating : 4.8/5 (764 download)

Book Synopsis Existence and Regularity Results for Some Shape Optimization Problems by : Bozhidar Velichkov

Download or read book Existence and Regularity Results for Some Shape Optimization Problems written by Bozhidar Velichkov and published by Springer. This book was released on 2015-03-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems.

Shape Optimization and Spectral Theory

Download Shape Optimization and Spectral Theory PDF Online Free

Author : Antoine Henrot
Publisher : De Gruyter Open
ISBN 13 : 9783110550856
Total Pages : 474 pages
Book Rating : 4.5/5 (58 download)

Book Synopsis Shape Optimization and Spectral Theory by : Antoine Henrot

Download or read book Shape Optimization and Spectral Theory written by Antoine Henrot and published by De Gruyter Open. This book was released on 2017-05-08 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization. It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results. Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics. List of contributors Antunes Pedro R.S., Ashbaugh Mark, Bonnaillie-Noel Virginie, Brasco Lorenzo, Bucur Dorin, Buttazzo Giuseppe, De Philippis Guido, Freitas Pedro, Girouard Alexandre, Helffer Bernard, Kennedy James, Lamboley Jimmy, Laugesen Richard S., Oudet Edouard, Pierre Michel, Polterovich Iosif, Siudeja Bartlomiej A., Velichkov Bozhidar

Variational Methods in Shape Optimization Problems

Download Variational Methods in Shape Optimization Problems PDF Online Free

Author : Dorin Bucur
Publisher : Springer Science & Business Media
ISBN 13 : 0817644032
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)

Book Synopsis Variational Methods in Shape Optimization Problems by : Dorin Bucur

Download or read book Variational Methods in Shape Optimization Problems written by Dorin Bucur and published by Springer Science & Business Media. This book was released on 2006-09-13 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis Driven by several good examples and illustrations Poses some open questions.

Optimization with PDE Constraints

Download Optimization with PDE Constraints PDF Online Free

Author : Ronald Hoppe
Publisher : Springer
ISBN 13 : 3319080253
Total Pages : 422 pages
Book Rating : 4.3/5 (19 download)

Book Synopsis Optimization with PDE Constraints by : Ronald Hoppe

Download or read book Optimization with PDE Constraints written by Ronald Hoppe and published by Springer. This book was released on 2014-09-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).

SIAM Journal on Control and Optimization

Download SIAM Journal on Control and Optimization PDF Online Free

Author : Society for Industrial and Applied Mathematics
Publisher :
ISBN 13 :
Total Pages : 1200 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2008 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization and Differentiation

Download Optimization and Differentiation PDF Online Free

Author : Simon Serovajsky
Publisher : CRC Press
ISBN 13 : 1351648489
Total Pages : 638 pages
Book Rating : 4.3/5 (516 download)

Book Synopsis Optimization and Differentiation by : Simon Serovajsky

Download or read book Optimization and Differentiation written by Simon Serovajsky and published by CRC Press. This book was released on 2017-09-13 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.

Optimal Shape Design

Download Optimal Shape Design PDF Online Free

Author : B. Kawohl
Publisher : Springer
ISBN 13 : 3540444866
Total Pages : 397 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Optimal Shape Design by : B. Kawohl

Download or read book Optimal Shape Design written by B. Kawohl and published by Springer. This book was released on 2007-05-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.

Introduction to Shape Optimization

Download Introduction to Shape Optimization PDF Online Free

Author : Jan Sokolowski
Publisher : Springer Science & Business Media
ISBN 13 : 3642581064
Total Pages : 254 pages
Book Rating : 4.6/5 (425 download)

Book Synopsis Introduction to Shape Optimization by : Jan Sokolowski

Download or read book Introduction to Shape Optimization written by Jan Sokolowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.

Geometric Science of Information

Download Geometric Science of Information PDF Online Free

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3030269809
Total Pages : 764 pages
Book Rating : 4.0/5 (32 download)

Book Synopsis Geometric Science of Information by : Frank Nielsen

Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer. This book was released on 2019-08-19 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.

Shape Optimization Problems

Download Shape Optimization Problems PDF Online Free

Author : Hideyuki Azegami
Publisher : Springer Nature
ISBN 13 : 9811576181
Total Pages : 646 pages
Book Rating : 4.8/5 (115 download)

Book Synopsis Shape Optimization Problems by : Hideyuki Azegami

Download or read book Shape Optimization Problems written by Hideyuki Azegami and published by Springer Nature. This book was released on 2020-09-30 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. In these problems, optimum shapes are obtained from an arbitrary form without any geometrical parameters previously assigned. In particular, problems in which the optimum shape is sought by making a hole in domain are called topology optimization problems. Moreover, a problem in which the optimum shape is obtained based on domain variation is referred to as a shape optimization problem of domain variation type, or a shape optimization problem in a limited sense. Software has been developed to solve these problems, and it is being used to seek practical optimum shapes. However, there are no books explaining such theories beginning with their foundations. The structure of the book is shown in the Preface. The theorems are built up using mathematical results. Therefore, a mathematical style is introduced, consisting of definitions and theorems to summarize the key points. This method of expression is advanced as provable facts are clearly shown. If something to be investigated is contained in the framework of mathematics, setting up a theory using theorems prepared by great mathematicians is thought to be an extremely effective approach. However, mathematics attempts to heighten the level of abstraction in order to understand many things in a unified fashion. This characteristic may baffle readers with an engineering background. Hence in this book, an attempt has been made to provide explanations in engineering terms, with examples from mechanics, after accurately denoting the provable facts using definitions and theorems.

Mathematical Reports

Download Mathematical Reports PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 458 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reports by :

Download or read book Mathematical Reports written by and published by . This book was released on 2003 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Optimization of Differential Systems

Download Analysis and Optimization of Differential Systems PDF Online Free

Author : Viorel Barbu
Publisher : Springer
ISBN 13 : 0387356908
Total Pages : 449 pages
Book Rating : 4.3/5 (873 download)

Book Synopsis Analysis and Optimization of Differential Systems by : Viorel Barbu

Download or read book Analysis and Optimization of Differential Systems written by Viorel Barbu and published by Springer. This book was released on 2013-06-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Shape Optimization

Download Shape Optimization PDF Online Free

Author : Catherine Bandle
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111025810
Total Pages : 337 pages
Book Rating : 4.1/5 (11 download)

Book Synopsis Shape Optimization by : Catherine Bandle

Download or read book Shape Optimization written by Catherine Bandle and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

System Modeling and Optimization

Download System Modeling and Optimization PDF Online Free

Author : Adam Korytowski
Publisher : Springer
ISBN 13 : 3642048021
Total Pages : 515 pages
Book Rating : 4.6/5 (42 download)

Book Synopsis System Modeling and Optimization by : Adam Korytowski

Download or read book System Modeling and Optimization written by Adam Korytowski and published by Springer. This book was released on 2009-10-27 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).

Applied Mechanics Reviews

Download Applied Mechanics Reviews PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 864 pages
Book Rating : 4.3/5 (243 download)

Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1985 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shape Optimization and Free Boundaries

Download Shape Optimization and Free Boundaries PDF Online Free

Author : Michel C. Delfour
Publisher : Springer Science & Business Media
ISBN 13 : 9401127107
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Shape Optimization and Free Boundaries by : Michel C. Delfour

Download or read book Shape Optimization and Free Boundaries written by Michel C. Delfour and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.

Scientific and Technical Aerospace Reports

Download Scientific and Technical Aerospace Reports PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: