Finite Element Methods and Their Applications için kapak resmi
Başlık:
Finite Element Methods and Their Applications
Dil:
English
ISBN:
9783540280781
Yayın Bilgileri:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Fiziksel Tanımlama:
XIII, 410 p. online resource.
Seri:
Scientific Computation,
İçerik:
Elementary Finite Elements -- Nonconforming Finite Elements -- Mixed Finite Elements -- Discontinuous Finite Elements -- Characteristic Finite Elements -- Adaptive Finite Elements -- Solid Mechanics -- Fluid Mechanics -- Fluid Flow in Porous Media -- Semiconductor Modeling.
Özet:
This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided.

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Özet

Özet

This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided.


İncelemeler 1

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The finite element method (FEM) is a numerical technique for solving problems in engineering mechanics that is at present a widely used tool in both design and analysis applications. Chen (Southern Methodist Univ., Dallas) intends his book to be both a mathematically rigorous and a practical introduction to the method. In the first chapter, standard conforming finite elements are introduced, followed by nonconforming and mixed finite-element methods in the next two chapters. Recently developed discontinuous and characteristic finite elements are the subject of chapters 4 and 5, while the adaptive finite element method is treated in chapter 6. Applications of these methods to solid mechanics, fluid mechanics, flow in porous media, and semiconductor modeling are given in the last four chapters. These applications are approached and presented from a theoretical rather than practical point of view. Chen assumes of readers knowledge of advanced calculus, partial differential equations, and functional analysis. Thus, the book could be used as a graduate-level course resource in numerical methods for solving partial differential equations. Chen succeeds in providing a mathematically rigorous framework for FEM; however, those seeking practical applications should look elsewhere. ^BSumming Up: Optional. Graduate students; faculty. D. A. Pape Central Michigan University


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"This book serves as a text for one- or two-semester courses for upper-level undergraduates and beginning graduate students and as a professional reference for people who want to solve partial differential equations (PDEs) using finite element methods. The author has attempted to introduce every concept in the simplest possible setting and maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Quite a lot of attention is given to discontinuous finite elements, characteristic finite elements, and to the applications in fluid and solid mechanics including applications to porous media flow, and applications to semiconductor modeling. An extensive set of exercises and references in each chapter are provided."--BOOK JACKET.