The Finite Element Method: Its Fundamentals and Applications in Engineering - Couverture rigide

Chen, John Zhangxin

 
9789814350563: The Finite Element Method: Its Fundamentals and Applications in Engineering

Synopsis

"The 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.

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Présentation de l'éditeur

"The 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.

Revue de presse

This book offers a fundamental and practical introduction to the finite element method, its variants, and their applications. In chapter 1, the finite element method is introduced in one dimension. --Zentralblatt MATH

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Autres éditions populaires du même titre

9789814350570: Finite Element Method, The: Its Fundamentals And Applications In Engineering

Edition présentée

ISBN 10 :  9814350575 ISBN 13 :  9789814350570
Editeur : Wspc, 2011
Couverture souple