Schaum's Outline of Theory and Problems of Finite Element Analysis

1995-01-01
Schaum's Outline of Theory and Problems of Finite Element Analysis

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  • Author: George R. Buchanan
  • Publisher:
  • ISBN: 9780071137393
  • Category : Finite element method
  • Languages : en
  • Pages : 264

Schaum's Outlines give readers the information teachers expect you to know in a handy and succinct format--without overwhelming readers with unnecessary details. They get a complete overview of the subject. Plus, they get plenty of practice exercises to test, Schaum's lets readers study at their own pace and reminds them of all the important facts they need to remember--fast.

Schaum's Outline of Finite Element Analysis

1994-11-22
Schaum's Outline of Finite Element Analysis

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  • Author: George R. Buchanan
  • Publisher: McGraw Hill Professional
  • ISBN: 0071502882
  • Category : Study Aids
  • Languages : en
  • Pages : 273

Confusing Textbooks? Missed Lectures? Tough Test Questions? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

An Introduction to the Mathematical Theory of Finite Elements

2012-05-23
An Introduction to the Mathematical Theory of Finite Elements

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  • Author: J. T. Oden
  • Publisher: Courier Corporation
  • ISBN: 0486142213
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 450

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Theory and Practice of Finite Elements

2013-03-09
Theory and Practice of Finite Elements

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  • Author: Alexandre Ern
  • Publisher: Springer Science & Business Media
  • ISBN: 1475743556
  • Category : Mathematics
  • Languages : en
  • Pages : 531

This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.

Numerical Solution of Partial Differential Equations by the Finite Element Method

2012-05-23
Numerical Solution of Partial Differential Equations by the Finite Element Method

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  • Author: Claes Johnson
  • Publisher: Courier Corporation
  • ISBN: 0486131599
  • Category : Mathematics
  • Languages : en
  • Pages : 290

An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

TEXTBOOK OF FINITE ELEMENT ANALYSIS

2003-01-01
TEXTBOOK OF FINITE ELEMENT ANALYSIS

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  • Author: P. SESHU
  • Publisher: PHI Learning Pvt. Ltd.
  • ISBN: 8120323157
  • Category : Mathematics
  • Languages : en
  • Pages : 340

Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.

Building Better Products with Finite Element Analysis

1999
Building Better Products with Finite Element Analysis

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  • Author: Vince Adams
  • Publisher:
  • ISBN:
  • Category : Engineering design
  • Languages : en
  • Pages : 630

Building Better Products with FEA offers a practical yet comprehensive study of finite element analysis by reviewing the basics of design analysis from an engineering perspective. The authors provide guidelines for specific design issues, including common encounter problems such as setting boundaries and contact points between parts, sheet metal weldments, and plastic components. The book also presents a compilation of data invaluable to the beginning as well as the experienced design analyst.

Finite Elements and Approximation

2013-04-22
Finite Elements and Approximation

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  • Author: O. C. Zienkiewicz
  • Publisher: Courier Corporation
  • ISBN: 048631801X
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 356

A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.

The Finite Element Method: Theory, Implementation, and Applications

2013-01-13
The Finite Element Method: Theory, Implementation, and Applications

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

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.​

Practical Finite Element Analysis

2008
Practical Finite Element Analysis

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  • Author: Nitin S. Gokhale
  • Publisher: FINITE TO INFINITE
  • ISBN: 8190619500
  • Category : Engineering
  • Languages : en
  • Pages : 27

Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International quality printing on specially imported paper Why this book has been written ... FEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite and find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves ... All the authors of this book are from IIT€™s & IISc and after joining the industry realized gap between university education and the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other and hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced and in particular beginners so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.