Programming the Finite Element Method

Programming the Finite Element Method PDF 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.

Programming the Finite Element Method

Programming the Finite Element Method PDF Author: I. M. Smith
Publisher: John Wiley & Sons
ISBN: 9780471100980
Category : Civil engineering
Languages : en
Pages : 351

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Book Description


Finite Element Computations in Mechanics with R

Finite Element Computations in Mechanics with R PDF Author: Khameel Bayo Mustapha
Publisher: CRC Press
ISBN: 1351385585
Category : Science
Languages : en
Pages : 271

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Book Description
Finite Element Computations in Mechanics with R: A Problem-Centred Programming Approach provides introductory coverage of the finite element method (FEM) with the R programming language, emphasizing links between theory and implementation of FEM for problems in engineering mechanics. Useful for students, practicing engineers, and researchers, the text presents the R programming as a convenient easy-to-learn tool for analyzing models of mechanical systems, with finite element routines for structural, thermal, and dynamic analyses of mechanical systems, and also visualization of the results. Full-color graphics are used throughout the text.

Finite Element Programming

Finite Element Programming PDF Author: Ernest Hinton
Publisher:
ISBN: 9780123493507
Category : Finite element method
Languages : en
Pages : 305

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Book Description


MATLAB and C Programming for Trefftz Finite Element Methods

MATLAB and C Programming for Trefftz Finite Element Methods PDF Author: Qing-Hua Qin
Publisher: CRC Press
ISBN: 1420072765
Category : Mathematics
Languages : en
Pages : 464

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Book Description
Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t

Understanding and Implementing the Finite Element Method

Understanding and Implementing the Finite Element Method PDF Author: Mark S. Gockenbach
Publisher: SIAM
ISBN: 0898716144
Category : Mathematics
Languages : en
Pages : 363

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Book Description
The ?nite element method is the most powerful general-purpose technique for computĀ­ing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the ?nite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. Understanding and Implementing the Finite Element Method includes a carefully documented collection of MATLABĀ® programs implementing the ideas presented in the book. Readers will bene?t from a careful explanation of data structures and speci?c coding strategies and will learn how to write a ?nite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways to learn more about programming ?nite elements. This practical book should provide an excellent foundation for those who wish to delve into advanced texts on the subject, including advanced undergraduates and beginning graduate students in mathematics, engineering, and the physical sciences.Preface; Part I: The Basic Framework for Stationary Problems. Chapter 1: Some Model PDEs; Chapter 2: The weak form of a BVP; Chapter 3: The Galerkin method; Chapter 4: Piecewise polynomials and the finite element method; Chapter 5: Convergence of the finite element method; Part II Data Structures and Implementation. Chapter 6: The mesh data structure; Chapter 7: Programming the finite element method: Linear Lagrange triangles; Chapter 8: Lagrange triangles of arbitrary degree; Chapter 9: The finite element method for general BVPs; Part III: Solving the Finite Element Equations. Chapter 10: Direct solution of sparse linear systems; Chapter 11: Iterative methods: Conjugate gradients; Chapter 12: The classical stationary iterations; Chapter 13: The multigrid method; Part IV: Adaptive Methods. Chapter 14: Adaptive mesh generation; Chapter 15: Error estimators and indicators; Bibliography; Index.

Introduction to the Finite Element Method

Introduction to the Finite Element Method PDF 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).

Programming the Finite Element Method

Programming the Finite Element Method PDF Author: Ian M. Smith
Publisher: John Wiley & Sons
ISBN: 9780470849705
Category : Technology & Engineering
Languages : en
Pages : 650

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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.

Programming Finite Elements in JavaTM

Programming Finite Elements in JavaTM PDF Author: Gennadiy P. Nikishkov
Publisher: Springer Science & Business Media
ISBN: 1848829728
Category : Technology & Engineering
Languages : en
Pages : 395

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Book Description
Programming Finite Elements in JavaTM teaches the reader how to programme the algorithms of the finite element method (FEM) in JavaTM. The compact, simple code helps the student to read the algorithms, to understand them and thus to be able to refine them. All of the main aspects of finite element techniques are considered: finite element solution; generation of finite element meshes; and visualization of finite element models and results with Java 3DTM. The step-by-step presentation includes algorithm programming and code explanation at each point. Problems and exercises are provided for each chapter, with JavaTM source code and problem data sets available from http://extras.springer.com/2010/978-1-84882-971-8.

The Boundary Element Method with Programming

The Boundary Element Method with Programming PDF Author: Gernot Beer
Publisher: Springer Science & Business Media
ISBN: 3211715762
Category : Technology & Engineering
Languages : en
Pages : 496

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Book Description
This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.