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Finite Element Method, The: Its Fundamentals And Applications In Engineering By John Zhangxin Chen (Univ Of Calgary, Canada)

Finite Element Method, The: Its Fundamentals And Applications In Engineering by John Zhangxin Chen (Univ Of Calgary, Canada)

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Summary

Offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. This title introduces various finite elements in one, two, and three space dimensions, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics and fluid mechanics.

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Finite Element Method, The: Its Fundamentals And Applications In Engineering Summary

Finite Element Method, The: Its Fundamentals And Applications In Engineering by John Zhangxin Chen (Univ Of Calgary, Canada)

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.

Table of Contents

One-Dimensional Model Problems; Two-Dimensional Model Problems; General Variational Formulation; One-Dimensional Elements and Their Properties; Two-Dimensional Elements and Their Properties; Three-Dimensional Elements and Their Properties; Finite Elements for Transient and Nonlinear Problems; Application to Solid Mechanics; Application to Fluid Mechanics; Application to Porous Media Flow; Other Finite Element Methods.

Additional information

NLS9789814350570
9789814350570
9814350575
Finite Element Method, The: Its Fundamentals And Applications In Engineering by John Zhangxin Chen (Univ Of Calgary, Canada)
New
Paperback
World Scientific Publishing Co Pte Ltd
2011-10-10
348
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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