The Mathematics Of Finite Elements And Applications
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The Mathematics Of Finite Elements And Applications
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Author : J. R. Whiteman
language : en
Publisher: Academic Press
Release Date : 2014-05-10
The Mathematics Of Finite Elements And Applications written by J. R. Whiteman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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
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Author :
language : en
Publisher:
Release Date : 2007
The Mathematics Of Finite Elements And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
The Mathematics Of Finite Elements And Applications V
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Author : J Whiteman
language : en
Publisher: Elsevier
Release Date : 2012-12-02
The Mathematics Of Finite Elements And Applications V written by J Whiteman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
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 Mathematics Of Finite Elements And Applications X Mafelap 1999
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Author : J.R. Whiteman
language : en
Publisher: Elsevier
Release Date : 2000-06-26
The Mathematics Of Finite Elements And Applications X Mafelap 1999 written by J.R. Whiteman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-26 with Technology & Engineering categories.
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.
The Mathematics Of Finite Elements And Applications Iv
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Author : John Robert Whiteman
language : en
Publisher:
Release Date : 1982
The Mathematics Of Finite Elements And Applications Iv written by John Robert Whiteman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
The Mathematics Of Finite Elements And Applications
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Author :
language : en
Publisher:
Release Date : 1972
The Mathematics Of Finite Elements And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Engineering mathematics categories.
The Mathematics Of Finite Elements And Applications
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Author : J. R. Whiteman
language : en
Publisher: Wiley
Release Date : 1994-09-06
The Mathematics Of Finite Elements And Applications written by J. R. Whiteman and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-06 with Technology & Engineering categories.
World leaders in diverse disciplines, whose common interest is finite element methods, address the latest developments in the field. Mathematical theory, engineering and scientific applications, computational techniques, large scale analysis and implementation of related methods are among the subjects discussed.
The Mathematics Of Finite Elements And Applications
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Author : J. R. Whiteman
language : en
Publisher:
Release Date : 1994
The Mathematics Of Finite Elements And Applications written by J. R. Whiteman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
World leaders in diverse disciplines, whose common interest is finite element methods, address the latest developments in the field. Mathematical theory, engineering and scientific applications, computational techniques, large scale analysis and implementation of related methods are among the subjects discussed.
The Mathematical Foundations Of The Finite Element Method With Applications To Partial Differential Equations
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Author : A. K. Aziz
language : en
Publisher: Academic Press
Release Date : 2014-05-10
The Mathematical Foundations Of The Finite Element Method With Applications To Partial Differential Equations written by A. K. Aziz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Technology & Engineering categories.
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.
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-13 with Computers categories.
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.