Finite Elements for Analysis and Design

✍ Scribed by J. E. Akin, John R. Whiteman and J. H. Davenport (Auth.)

• Publisher: Elsevier Ltd
• Year: 1994
• Tongue: English
• Leaves: 554
• Category: Library

✦ Synopsis

The finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material.

Key Features
Akin clearly explains the FEM, a numerical analysis tool for problem-solving throughout applied mathematics, engineering and scientific computing
Basic theory has been added in the book, including worked examples to enable students to understand the concepts
Contains coverage of computational topics, including worked examples to enable students to understand concepts
Improved coverage of sensitivity analysis and computational fluid dynamics
Uses example applications to increase students understanding
Includes a disk with the FORTRAN source for the programs cided in the text

✦ Table of Contents

Content:
COMPUTATIONAL MATHEMATICS AND APPLICATIONS, Page ii
Dedication, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page xii
Chapter 1 - INTRODUCTION, Pages 1-14
Chapter 2 - MATHEMATICAL PRELIMINARIES, Pages 15-37
Chapter 3 - VARIATIONAL METHODS, Pages 38-71
Chapter 4 - ELEMENT INTERPOLATION AND LOCAL COORDINATES, Pages 72-87
Chapter 5 - ONE-DIMENSIONAL INTEGRATION, Pages 88-97
Chapter 6 - BEAM ANALYSIS, Pages 98-117
Chapter 7 - TRUSS ELEMENTS AND AXIS TRANSFORMATIONS, Pages 118-125
Chapter 8 - CYLINDRICAL ANALYSIS PROBLEMS, Pages 126-132
Chapter 9 - GENERAL INTERPOLATION, Pages 133-167
Chapter 10 - ADAPTIVE ANALYSIS, Pages 168-189
Chapter 11 - INTEGRATION METHODS, Pages 190-207
Chapter 12 - HEAT TRANSFER, Pages 208-218
Chapter 13 - ELASTICITY, Pages 219-241
Chapter 14 - ERROR MEASURES FOR ELLIPTIC PROBLEMS, Pages 242-262
Chapter 15 - SENSITIVITY ANALYSIS, Pages 263-276
Chapter 16 - SPECIAL ELEMENTS, Pages 277-289
Chapter 17 - TIME DEPENDENT PROBLEMS, Pages 290-312
Chapter 18 - COMPUTATIONAL FLUID DYNAMICS, Pages 313-341
Chapter 19 - AUTOMATIC MESH GENERATION, Pages 342-358
Chapter 20 - COMPUTATIONAL PROCEDURES, Pages 359-430
Chapter 21 - MODEL APPLICATIONS IN 1-D, Pages 431-460
Chapter 22 - MODEL APPLICATIONS IN 2- AND 3-D, Pages 461-514
Appendix I - MATRIX NOTATION AND OPERATIONS, Pages 515-522
Appendix II - FUNCTIONS OF SUBROUTINES IN MODEL LIBRARY, Pages 523-527
Appendix III - Notation in MODEL, Pages 528-530
Appendix IV - Programs Disk, Pages 531-541
Index, Pages 542-548
WARNING, Page ibc1