Introduction to the Finite Element Method PDF Download

Author: Erik G. Thompson
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 368

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Book Description
This text presents an introduction to the finite element method including theory, coding, and applications. The theory is presented without recourse to any specific discipline, and the applications span a broad range of engineering problems. The codes are written in MATLAB script in such a way that they are easily translated to other computer languages such as FORTRAN. All codes given in the text are available for downloading from the text's Web page, along with data files for running the test problems shown in the text. All codes can be run on the student version of MATLAB (not included).

Author: Erik G. Thompson
Publisher: John Wiley & Sons
ISBN: 9780471452539
Category : Finite element method
Languages : en
Pages : 343

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Book Description
This text presents an introduction to the finite element method including theory, coding, and applications. The theory is presented without recourse to any specific discipline, and the applications span a broad range of engineering problems. The codes are written in MATLAB script in such a way that they are easily translated to other computer languages such as FORTRAN. All codes given in the text are available for downloading from the text′s Web page, along with data files for running the test problems shown in the text. All codes can be run on the student version of MATLAB (not included).

Author: Erik G. Thompson
Publisher:
ISBN: 9789812531391
Category : Finite element method
Languages : en
Pages : 343

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Book Description

Author: Mats G. Larson
Publisher: Springer Science & Business Media
ISBN: 3642332870
Category : Computers
Languages : en
Pages : 403

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Book Description
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.​

Author: Wahyu Kuntjoro
Publisher:
ISBN: 9780071241441
Category : Finite element method
Languages : en
Pages : 248

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Book Description
An Introduction to the Finite Element Method is organized and written in such a way that students should not find it difficult to understand the concepts and applications discussed in the book. Rigorous mathematical treatments and derivations are kept to a minimum. A consistent approach of finite element formulation and solution is used for every domain analysis described in the book. Plenty of simple examples are given to show students how to solve related problems. The exercises at the end of some chapters are within students' capability and can be done without using a computer. Although this book is intended primarily for undergraduate students, it is also suitable for the early part of finite element courses in postgraduate programme. The basic and conceptual approaches which are used also make this book appropriate for practising engineers who want to know and learn the finite element method.

Author: Amar Khennane
Publisher: CRC Press
ISBN: 1466580208
Category : Technology & Engineering
Languages : en
Pages : 490

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Book Description
There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

Author: Gabriel N. Gatica
Publisher: Springer Science & Business Media
ISBN: 3319036955
Category : Mathematics
Languages : en
Pages : 142

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Book Description
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.

Author: Prem Kythe
Publisher: Springer Science & Business Media
ISBN: 0817681604
Category : Mathematics
Languages : en
Pages : 461

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Book Description
Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Author: I. M. Smith
Publisher: John Wiley & Sons
ISBN: 0470011246
Category : Technology & Engineering
Languages : en
Pages : 649

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Book Description
This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their own computer programmes to produce numerical results to solve these problems. The first three editions of Programming the Finite Element Method established themselves as an authority in this area. This fully revised 4th edition includes completely rewritten programmes with a unique description and list of parallel versions of programmes in Fortran 90. The Fortran programmes and subroutines described in the text will be made available on the Internet via anonymous ftp, further adding to the value of this title.

Author: Zhangxin Chen
Publisher: Springer Science & Business Media
ISBN: 3540280782
Category : Science
Languages : en
Pages : 415

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Book Description
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.