Finite Element Approximation for Optimal Shape Design

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Author :
Release : 1988
Genre : Mathematics
Kind :
Book Rating : /5 ( reviews)

Finite Element Approximation for Optimal Shape Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Element Approximation for Optimal Shape Design write by J. Haslinger. This book was released on 1988. Finite Element Approximation for Optimal Shape Design available in PDF, EPUB and Kindle. A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.

Finite Element Approximation for Optimal Shape, Material and Topology Design

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Author :
Release : 1996-08-06
Genre : Mathematics
Kind :
Book Rating : 505/5 ( reviews)

Finite Element Approximation for Optimal Shape, Material and Topology Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Element Approximation for Optimal Shape, Material and Topology Design write by J. Haslinger. This book was released on 1996-08-06. Finite Element Approximation for Optimal Shape, Material and Topology Design available in PDF, EPUB and Kindle. This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimization of structures is addressed in the first part, using variational inequalities of elliptic type. New results, such as contact shape optimization for bodies made of non-linear material, sensitivity analysis based on isoparametric technique, and analysis of cost functionals related to contact stress distribution are included. The second part presents new concepts of shape optimization based on a fictitious domain approach. Finally, the application of the shape optimization methodology in the material design is discussed. This second edition is a fully revised and up-dated version of Finite Element Method for Optimal Shape Design. Numerous numerical examples illustrate the theoretical results, and industrial applications are given.

Finite Element Approximation for Optimal Shape Design

Download Finite Element Approximation for Optimal Shape Design PDF Online Free

Author :
Release : 1988
Genre : Mathematics
Kind :
Book Rating : /5 ( reviews)

Finite Element Approximation for Optimal Shape Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Element Approximation for Optimal Shape Design write by J. Haslinger. This book was released on 1988. Finite Element Approximation for Optimal Shape Design available in PDF, EPUB and Kindle. A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.

Introduction to Shape Optimization

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Author :
Release : 2003-01-01
Genre : Mathematics
Kind :
Book Rating : 369/5 ( reviews)

Introduction to Shape Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Shape Optimization write by J. Haslinger. This book was released on 2003-01-01. Introduction to Shape Optimization available in PDF, EPUB and Kindle. Treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory through computational aspects to industrial applications.

Optimal Shape Design for Elliptic Systems

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Release : 2012-12-06
Genre : Science
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Book Rating : 222/5 ( reviews)

Optimal Shape Design for Elliptic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Shape Design for Elliptic Systems write by O. Pironneau. This book was released on 2012-12-06. Optimal Shape Design for Elliptic Systems available in PDF, EPUB and Kindle. The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function. There are many problems of this type in high-technology industries. In fact, most numerical simulations of physical systems are solved not to gain better understanding of the phenomena but to obtain better control and design. Problems of this type are described in Chapter 2. Traditionally, optimal shape design has been treated as a branch of the calculus of variations and more specifically of optimal control. This subject interfaces with no less than four fields: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject. Each of these fields is reviewed briefly: PDEs (Chapter 1), optimization (Chapter 4), optimal control (Chapter 5), and numerical methods (Chapters 1 and 4).