Finite Element Methods And Their Applications
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Finite Element Methods And Their Applications
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Author : Zhangxin Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-14
Finite Element Methods And Their Applications written by Zhangxin Chen 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 2005-10-14 with Science categories.
The ?nite element method is one of the major tools used in the numerical solution of partial di?erential equations. This book o?ers a fundamental and practical introduction to the method, its variants, and their applications. In presenting the material, I have attempted to introduce every concept in the simplest possible setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. The book is based on the material that I have used in a graduate course at Southern Methodist University for several years. Part of the material was alsousedformyseminarnotesatPurdueUniversity,UniversityofMinnesota, andTexasA&MUniversity.Furthermore,thisbookwasthebasisforsummer schools on the ?nite element method and its applications held in China, Iran, Mexico, and Venezuela. This book covers six major topics and four applications. In Chap. 1, the 1 2 standard (H-and H -conforming) ?nite element method is introduced. In Chaps.2and3,twocloselyrelated?niteelementmethods,thenonconforming and the mixed ?nite element methods, are discussed. The discontinuous and characteristic?niteelementmethodsarestudiedinChaps.4and5;thesetwo methods have been recently developed. The adaptive ?nite element method is considered in Chap. 6. The last four chapters are devoted to applications of these methods to solid mechanics (Chap. 7), ?uid mechanics (Chap. 8), ?uid ?ow in porous media (Chap. 9), and semiconductor modeling (Chap. 10).
Finite Element Methods And Their Applications
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Author : Mahboub Baccouch
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-11-17
Finite Element Methods And Their Applications written by Mahboub Baccouch and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Computers categories.
This book provides several applications of the finite element method (FEM) for solving real-world problems. FEM is a widely used technique for numerical simulations in many areas of physics and engineering. It has gained increased popularity over recent years for the solution of complex engineering and science problems. FEM is now a powerful and popular numerical method for solving differential equations, with flexibility in dealing with complex geometric domains and various boundary conditions. The method has a wide range of applications in various branches of engineering such as mechanical engineering, thermal and fluid flows, electromagnetics, business management, and many others. This book describes the development of FEM and discusses and illustrates its specific applications.
Advanced Finite Element Methods And Applications
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Author : Thomas Apel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-16
Advanced Finite Element Methods And Applications written by Thomas Apel 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 2012-07-16 with Technology & Engineering categories.
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.
Advanced Finite Element Methods And Applications
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Author : Thomas Apel
language : en
Publisher: Springer
Release Date : 2012-07-16
Advanced Finite Element Methods And Applications written by Thomas Apel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-16 with Technology & Engineering categories.
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.
The Finite Element Method
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Author : Zhangxin Chen
language : en
Publisher: World Scientific
Release Date : 2011
The Finite Element Method written by Zhangxin Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Technology & Engineering categories.
A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.
Finite Element Calculation Methods And Their Application To Turbomachinery Flows
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Author :
language : en
Publisher:
Release Date : 1987
Finite Element Calculation Methods And Their Application To Turbomachinery Flows written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Finite element method categories.
Essentials Of The Finite Element Method
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Author : Dimitrios G Pavlou
language : en
Publisher: Academic Press
Release Date : 2015-07-14
Essentials Of The Finite Element Method written by Dimitrios G Pavlou and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-14 with Technology & Engineering categories.
Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou's Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code. Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer. - Provides complete and unified coverage of the fundamentals of finite element analysis - Covers stiffness matrices for widely used elements in mechanical and civil engineering practice - Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB
Introduction To Finite Element Method
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Author : Prof Dr N S V Kameswara Rao
language : en
Publisher:
Release Date : 2021-01-11
Introduction To Finite Element Method written by Prof Dr N S V Kameswara Rao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-11 with categories.
This book is aimed at presenting the theory and practice of Finite Element Method (FEM) in a manner which makes it is easy to learn the concepts, analysis, and methodology of FEM through simple derivations and worked out examples in interdisciplinary areas. While there are many advanced books and manuals on the subject, there are very few books illustrating the method through simple examples and computations. The emphasis is on hands on learning of the FEM through manually worked out examples. The book consists of 6 chapters covering the subject matter with several worked out examples in interdisciplinary areas. FEM has become a powerful tool for solving complex problems in engineering and sciences in the past several decades. This is so since the computational procedures involved are very general and can be formulated in variational and (or) weighted residual forms. The method involves physical discretisation of the domain into finite elements, evaluation of element characteristics and re-assembling the domain represented by the element characteristics and then solving the resulting system response equations. The discretisation of the domain is only physical and mathematical treatment can be as exact as may be required either through improved element characteristics and (or) through refined discretisation (increased and smaller sized elements - (refined mesh). This makes the FEM superior and conceptually different from other numerical methods. The above topics are covered in the book with examples of analysis of simple structures such as rods, trusses, beams and beam columns, frames and elastic solids. Effects of temperature, initial strains, loads and boundary conditions on these structures are also illustrated. Chapters on Applications of the method to Foundation analysis and design, and Flow through porous media along with manually worked out examples are included. The book also presents the background details needed for various applications such as in foundation analysis and design, elasticity, seepage studies etc. The main features of the book are summarised as follows.-Simple and user friendly presentation for easy understanding. -Provides hands on experience with manually worked out examples. -Coverage of several and varied application areas in Civil Engineering, Solid Mechanics, Mechanical Engineering with easy extension to other areas. -Facilitates hands on learning of the subject for undergraduate and graduate students; and offering the course as an e-learning course / online course.-The course material is presented to make it as much self- contained as possible. The emphasis is on explaining logically the physical steps of handling of FEM procedure for a thorough understanding of the applications through manually worked out examples. -The parameters needed as inputs for FEM computations and the background material for various interdisciplinary applications have also been discussed to clarify the ambiguities that may exist in their choice. With the interest in customized solutions using FEM likely to expand in various conventional and non- conventional areas of study, advances in problem solving and interpretation are expected to increase manifold. FEM can be useful for application in almost all areas of practical and theoretical interest. It is earnestly hoped that the present book will be very helpful in advancing the learning and practicing of FEM by all enthusiastic learners and teachers interested in this area.
The Finite Element Method
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Author : Douglas H. Norrie
language : en
Publisher: Academic Press
Release Date : 2014-05-10
The Finite Element Method written by Douglas H. Norrie 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 Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element method. Finite element applications in solid and structural mechanics are also discussed. Comprised of 16 chapters, this book begins with an introduction to the formulation and classification of physical problems, followed by a review of field or continuum problems and their approximate solutions by the method of trial functions. It is shown that the finite element method is a subclass of the method of trial functions and that a finite element formulation can, in principle, be developed for most trial function procedures. Variational and residual trial function methods are considered in some detail and their convergence is examined. After discussing the calculus of variations, both in classical and Hilbert space form, the fundamentals of the finite element method are analyzed. The variational approach is illustrated by outlining the Ritz finite element method. The application of the finite element method to solid and structural mechanics is also considered. This monograph will appeal to undergraduate and graduate students, engineers, scientists, and applied mathematicians.
Finite Elements
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Author : Dietrich Braess
language : en
Publisher: Cambridge University Press
Release Date : 2001-04-12
Finite Elements written by Dietrich Braess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-12 with Mathematics categories.
"This definitive introduction to finite element methods has been updated thoroughly for this third edition, which features important new 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 non-standard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena." "Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods, will find the text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering."--BOOK JACKET.