The Mathematics Of Finite Elements And Applications V

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The mathematics of finite elements and Applications V

Author : J Whiteman
Publisher : Elsevier
ISBN 13 : 0323143717
Total Pages : 669 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis The mathematics of finite elements and Applications V by : J Whiteman

Download or read book The mathematics of finite elements and Applications V written by J Whiteman and published by Elsevier. This book was released on 2012-12-02 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.

The Finite Element Method for Elliptic Problems

Author : P.G. Ciarlet
Publisher : Elsevier
ISBN 13 : 0080875254
Total Pages : 551 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis The Finite Element Method for Elliptic Problems by : P.G. Ciarlet

Download or read book The Finite Element Method for Elliptic Problems written by P.G. Ciarlet and published by Elsevier. This book was released on 1978-01-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.

Finite Elements for Analysis and Design

Author : J. E. Akin
Publisher : Elsevier
ISBN 13 : 008050647X
Total Pages : 563 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Finite Elements for Analysis and Design by : J. E. Akin

Download or read book Finite Elements for Analysis and Design written by J. E. Akin and published by Elsevier. This book was released on 2014-06-28 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material. Akin clearly explains the FEM, a numerical analysis tool for problem-solving throughout applied mathematics, engineering and scientific computing Basic theory has been added in the book, including worked examples to enable students to understand the concepts Contains coverage of computational topics, including worked examples to enable students to understand concepts Improved coverage of sensitivity analysis and computational fluid dynamics Uses example applications to increase students' understanding Includes a disk with the FORTRAN source for the programs cided in the text

The Mathematics of Finite Elements and Applications

Author : J. R. Whiteman
Publisher : Academic Press
ISBN 13 : 1483268845
Total Pages : 535 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematics of Finite Elements and Applications by : J. R. Whiteman

Download or read book The Mathematics of Finite Elements and Applications written by J. R. Whiteman and published by Academic Press. This book was released on 2014-05-10 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Finite Elements and Applications provides information pertinent to the mathematics of finite elements, applications, algorithms, and computational techniques. This book discusses the developments in the mathematics of finite elements. Organized into 32 chapters, this book begins with an overview of the basis of the finite element process as a general approximation tool. This text then examines the methods for obtaining bounds on the errors in finite element solutions to two-dimensional elliptic boundary value problems defined on simply connected polygonal regions. Other chapters consider the practical implementation of the Galerkin and the Rayleigh–Ritz methods to equations of importance to physics and engineering. This book discusses as well a fundamental investigation into the problem of convergence in the finite element method. The final chapter deals with an algorithm that is applicable to the analysis of arbitrary plane stress or plane strain configurations. This book is a valuable resource for numerical analysts, mathematical physicist, applied mathematicians, computer scientists, and engineers.

The Mathematics of Finite Elements and Applications

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

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Book Synopsis The Mathematics of Finite Elements and Applications by :

Download or read book The Mathematics of Finite Elements and Applications written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

Author : A. K. Aziz
Publisher : Academic Press
ISBN 13 : 1483267989
Total Pages : 814 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations by : A. K. Aziz

Download or read book The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations written by A. K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

Finite Element Methods and Their Applications

Author : Zhangxin Chen
Publisher : Springer Science & Business Media
ISBN 13 : 3540280782
Total Pages : 415 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Finite Element Methods and Their Applications by : Zhangxin Chen

Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-10-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Finite Elements

Author : Dietrich Braess
Publisher : Cambridge University Press
ISBN 13 : 113946146X
Total Pages : 348 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Finite Elements by : Dietrich Braess

Download or read book Finite Elements written by Dietrich Braess and published by Cambridge University Press. This book was released on 2007-04-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.

The Finite Element Method

Author : Zhangxin Chen
Publisher : World Scientific
ISBN 13 : 9814350567
Total Pages : 349 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis The Finite Element Method by : Zhangxin Chen

Download or read book The Finite Element Method written by Zhangxin Chen and published by World Scientific. This book was released on 2011 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.

The Finite Element Method: Theory, Implementation, and Applications

Author : Mats G. Larson
Publisher : Springer
ISBN 13 : 9783642332869
Total Pages : 385 pages
Book Rating : 4.3/5 (328 download)

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Book Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson

Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer. This book was released on 2013-01-12 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.

Finite Element Method with Applications in Engineering:

Author : Y. M. Desai
Publisher : Pearson Education India
ISBN 13 : 9332500835
Total Pages : 489 pages
Book Rating : 4.3/5 (325 download)

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Book Synopsis Finite Element Method with Applications in Engineering: by : Y. M. Desai

Download or read book Finite Element Method with Applications in Engineering: written by Y. M. Desai and published by Pearson Education India. This book was released on 2011 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches

Finite Element Method

Author : Michael R. Gosz
Publisher : CRC Press
ISBN 13 : 1420056557
Total Pages : 400 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Finite Element Method by : Michael R. Gosz

Download or read book Finite Element Method written by Michael R. Gosz and published by CRC Press. This book was released on 2017-03-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

The Mathematics of Finite Elements and Applications X (MAFELAP 1999)

Author : J.R. Whiteman
Publisher : Elsevier
ISBN 13 : 9780080548685
Total Pages : 432 pages
Book Rating : 4.5/5 (486 download)

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Book Synopsis The Mathematics of Finite Elements and Applications X (MAFELAP 1999) by : J.R. Whiteman

Download or read book The Mathematics of Finite Elements and Applications X (MAFELAP 1999) written by J.R. Whiteman and published by Elsevier. This book was released on 2000-06-26 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time. This latest conference, in the MAFELAP series, followed the well established MAFELAP pattern of bringing together mathematicians, engineers and others interested in the field to discuss finite element techniques. In the MAFELAP context finite elements have always been interpreted in a broad and inclusive manner, including techniques such as finite difference, finite volume and boundary element methods as well as actual finite element methods. Twenty-six papers were carefully selected for this book out of the 180 presentations made at the conference, and all of these reflect this style and approach to finite elements. The increasing importance of modelling, in addition to numerical discretization, error estimation and adaptivity was also studied in MAFELAP 1999.

Advanced Finite Element Methods with Applications

Author : Thomas Apel
Publisher : Springer
ISBN 13 : 3030142442
Total Pages : 428 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Advanced Finite Element Methods with Applications by : Thomas Apel

Download or read book Advanced Finite Element Methods with Applications written by Thomas Apel and published by Springer. This book was released on 2019-06-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

Finite Elements

Author : D.L. Dwoyer
Publisher : Springer
ISBN 13 : 1461237866
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Finite Elements by : D.L. Dwoyer

Download or read book Finite Elements written by D.L. Dwoyer and published by Springer. This book was released on 2013-12-20 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the proceedings ofthe ICASE/LaRC workshop on "Finite Element Theory and Application" held during July 28-30, 1986. The purpose of this workshop was to provide an update on the status of finite element theory, to assess the impactoftbis theory on practice, and to suggest directions for Cuture research. There were thirteen participants in the workshop. Some of them were leading mathematicians working on the finite element theory, and the rest expert practitioners in the areas of fluid dynamics and structural analysis. The first six articles in this volume provide a brief review of the theoretical and computational aspects of finite element methods (FEM). The remaining seven articles deal with a variety of applications highlighting the type of results that are possible, and indicating areas which deserve future research. The first article is by Temam. lt provides an introduction and overview of the general finite element methods for the nonspecialist. lt also illustrates the power of finite element methods with two specific applications-the free surface flowjstructure interaction problern and the compressible Euler solu tion to the flow past a finite aspect ratio flat plate at incidence. The second article by Brezzi is againan introduction and overview ofmixed finite element methods. lt includes a brief discussion of special techniques for solving the discrete problem, as weil as some applications to certain basic problems in elasticity and hydrodynamics.

The Mathematics of Finite Elements and Applications II

Author : John Robert Whiteman
Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Mathematics of Finite Elements and Applications II by : John Robert Whiteman

Download or read book The Mathematics of Finite Elements and Applications II written by John Robert Whiteman and published by . This book was released on 1976 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Basis of Finite Element Methods with Applications to Partial Differential Equations

Author : Institute of Mathematics and Its Applications
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis The Mathematical Basis of Finite Element Methods with Applications to Partial Differential Equations by : Institute of Mathematics and Its Applications

Download or read book The Mathematical Basis of Finite Element Methods with Applications to Partial Differential Equations written by Institute of Mathematics and Its Applications and published by Oxford University Press, USA. This book was released on 1984 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining theoretical insights with practical applications, this stimulating collection provides a state-of-the-art survey of the finite element method, one of the most powerful tools available for the solution of physical problems. Written by leading experts, this volume consider such topics as parabolic Galerkin methods, nonconforming elements, the treatment of singularities in elliptic boundary value problems, and conforming methods for self-adjount elliptic problems. This will be an invaluable basic reference for computational mathematicians and engineers who use finite element methods in academic or industrial research.