Finite Element Method: Basic Technique and Implementation by Pin Tong (English)

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This coherent, rigorous introduction to mathematical foundations reveals the method's broad applications. It emphasizes the variational approach, providing a self-contained treatment with appendixes on variational calculus and matrix algebra. 1977 edition.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

Originally developed to address specific areas of structural mechanics and elasticity, the finite element method is applicable to problems throughout applied mathematics, continuum mechanics, engineering, and physics. This text elucidates the method's broader scope, bridging the gap between mathematical foundations and practical applications. Intended for students as well as professionals, it is an excellent companion for independent study, with numerous illustrative examples and problems.The authors trace the method's development and explain the technique in clearly understandable stages. Topics include solving problems involving partial differential equations, with a thorough finite element analysis of Poisson's equation; a step-by-step assembly of the master matrix; various numerical techniques for solving large systems of equations; and applications to problems in elasticity and the bending of beams and plates. Additional subjects include general interpolation functions, numerical integrations, and higher-order elements; applications to second- and fourth-order partial differential equations; and a variety of issues involving elastic vibrations, heat transfer, and fluid flow. The displacement model is fully developed, in addition to the hybrid model, of which Dr. Tong was an originator. The text concludes with numerous helpful appendixes.

Table of Contents

Preface 1. The Finite-Element Method 2. The Finite-Element Method for Poisson's Equation 3. Assembly and Solution for Large Systems 4. Implementation of Assembly and Solution Schemes for Large Systems on High-Speed Computers 5. Applications to Solid Mechanics 6. Interpolation Functions, Numerical Integration, and Higher-Order Elements 7. Bending of Beams and Plates 8. Hybrid Methods 9. Selected Topics and Recent Developments Appendix A. Notation and Matrix Algebra Appendix B. Rectangular Elements Appendix C. Triangular Elements with Straight Edges Appendix D. Variational Methods References Index

Long Description

This text introduces mathematical foundations, developing them coherently and rigorously to reveal the method's broad applications. It emphasizes use of the variational approach, providing appendixes on variational calculus and matrix algebra for a self-contained treatment. Detailed examples employ Poisson's equations and the general Sturm-Liouville problem. 1977 edition.

Details ISBN0486466760 Author Pin Tong Short Title FINITE ELEMENT METHOD Series Dover Books on Engineering Language English ISBN-10 0486466760 ISBN-13 9780486466767 Media Book Format Paperback Year 2008 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Subtitle Basic Technique and Implementation DOI 10.1604/9780486466767 UK Release Date 2008-06-27 AU Release Date 2008-06-27 NZ Release Date 2008-06-27 US Release Date 2008-06-27 Pages 352 Publisher Dover Publications Inc. Publication Date 2008-06-27 DEWEY 620.00151825 Illustrations Illustrations, unspecified Audience General We've got this

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