Methods Of Functional Analysis For Application In Solid Mechanics

Author : J. Mason
Publisher : Elsevier
Page : 413 pages
File Size : 52,5 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483289915

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Methods of Functional Analysis for Application in Solid Mechanics by J. Mason Pdf

Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.

Author : Jayme MASON
Publisher : Unknown
Page : 0 pages
File Size : 52,6 Mb
Release : 1985
Category : Electronic
ISBN : 0444417583

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Methods of Functional Analysis for Application in Solid Mechanics by Jayme MASON Pdf

Author : P. Germain,B. Nayroles
Publisher : Springer
Page : 550 pages
File Size : 47,7 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540381655

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Applications of Methods of Functional Analysis to Problems in Mechanics by P. Germain,B. Nayroles Pdf

Author : Leonid P. Lebedev,Iosif I. Vorovich,Michael J. Cloud
Publisher : Springer
Page : 310 pages
File Size : 45,8 Mb
Release : 2012-10-23
Category : Mathematics
ISBN : 1461458692

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Functional Analysis in Mechanics by Leonid P. Lebedev,Iosif I. Vorovich,Michael J. Cloud Pdf

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics. Reviews of first edition: "This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. ... Detailed solutions of the exercises are provided in an appendix." (L’Enseignment Mathematique, Vol. 49 (1-2), 2003) "The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises ... test the reader’s comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003)

Author : Leonid P. Lebedev,Iosif I. Vorovich,G.M.L. Gladwell
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 43,6 Mb
Release : 2006-04-29
Category : Mathematics
ISBN : 9780306483974

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Functional Analysis by Leonid P. Lebedev,Iosif I. Vorovich,G.M.L. Gladwell Pdf

This book started its life as a series of lectures given by the second author from the 1970’s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that state the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them. The requirements of lecture notes and books are vastly different. A book has to be complete (in some sense), self contained, and able to be read without the help of an instructor.

Author : L. P. Lebedev,Michael J. Cloud
Publisher : World Scientific
Page : 435 pages
File Size : 46,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812385819

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The Calculus of Variations and Functional Analysis by L. P. Lebedev,Michael J. Cloud Pdf

In this book, Sam helps his goose sisters fly to safety to looking for familiar landforms.

Author : Lebedev Leonid P,Cloud Michael J
Publisher : World Scientific
Page : 436 pages
File Size : 49,6 Mb
Release : 2003-12-23
Category : Technology & Engineering
ISBN : 9789814485173

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Calculus Of Variations And Functional Analysis, The: With Optimal Control And Applications In Mechanics by Lebedev Leonid P,Cloud Michael J Pdf

This is a book for those who want to understand the main ideas in the theory of optimal problems. It provides a good introduction to classical topics (under the heading of “the calculus of variations”) and more modern topics (under the heading of “optimal control”). It employs the language and terminology of functional analysis to discuss and justify the setup of problems that are of great importance in applications. The book is concise and self-contained, and should be suitable for readers with a standard undergraduate background in engineering mathematics.

Author : Abul Hasan Siddiqi
Publisher : Springer
Page : 566 pages
File Size : 48,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9789811037252

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Functional Analysis and Applications by Abul Hasan Siddiqi Pdf

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

Author : Thomas Apel,Olaf Steinbach
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 46,9 Mb
Release : 2012-07-16
Category : Technology & Engineering
ISBN : 9783642303166

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Advanced Finite Element Methods and Applications by Thomas Apel,Olaf Steinbach Pdf

This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

Author : Piotr Drygaś,Sergei Rogosin
Publisher : Birkhäuser
Page : 214 pages
File Size : 41,8 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9783319726403

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Modern Problems in Applied Analysis by Piotr Drygaś,Sergei Rogosin Pdf

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Author : L. P. Lebedev
Publisher : Unknown
Page : 239 pages
File Size : 51,7 Mb
Release : 1966
Category : Electronic
ISBN : OCLC:1088874194

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Functional Analysis by L. P. Lebedev Pdf

Author : Leonid P. Lebedev,I. I. Vorovich
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 45,9 Mb
Release : 2006-04-29
Category : Mathematics
ISBN : 9780387227252

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Functional Analysis in Mechanics by Leonid P. Lebedev,I. I. Vorovich Pdf

This book covers functional analysis and its applications to continuum mechanics.; The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas.; The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline.; Graduate students and researchers in mathematics, physics, and engineering will find this book useful.; Exercises and examples are included throughout with detailed solutions provided in the appendix.

Author : Barna Szabó,Ivo Babuška
Publisher : John Wiley & Sons
Page : 408 pages
File Size : 54,9 Mb
Release : 1991-09-03
Category : Technology & Engineering
ISBN : 0471502731

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Finite Element Analysis by Barna Szabó,Ivo Babuška Pdf

Covers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books.

Author : Joël Chaskalovic
Publisher : Springer
Page : 358 pages
File Size : 54,8 Mb
Release : 2014-05-16
Category : Mathematics
ISBN : 9783319035635

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Mathematical and Numerical Methods for Partial Differential Equations by Joël Chaskalovic Pdf

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general and then in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.

Author : Ivo Babuška,Theofanis Strouboulis
Publisher : Oxford University Press
Page : 820 pages
File Size : 47,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0198502761

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The Finite Element Method and Its Reliability by Ivo Babuška,Theofanis Strouboulis Pdf

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.