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Finite Element Methods: A Practical Guide (Hardback)

Jonathan Whiteley

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ISBN 10: 331949970X / ISBN 13: 9783319499703
Editorial: Springer International Publishing AG, Switzerland, 2017
Nuevos Condición: New Encuadernación de tapa dura
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Descripción

Language: English. Brand new Book. This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students. N° de ref. de la librería SPR9783319499703

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Detalles bibliográficos

Título: Finite Element Methods: A Practical Guide (...

Editorial: Springer International Publishing AG, Switzerland

Año de publicación: 2017

Encuadernación: Hardback

Condición del libro:New

Edición: 1st ed. 2017.

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Sinopsis:

THIS BOOK PRESENTS PRACTICAL APPLICATIONS OF THE FINITE ELEMENT METHOD TO GENERAL DIFFERENTIAL EQUATIONS. THE UNDERLYING STRATEGY OF DERIVING THE FINITE ELEMENT SOLUTION IS INTRODUCED USING LINEAR ORDINARY DIFFERENTIAL EQUATIONS, THUS ALLOWING THE BASIC CONCEPTS OF THE FINITE ELEMENT SOLUTION TO BE INTRODUCED WITHOUT BEING OBSCURED BY THE ADDITIONAL MATHEMATICAL DETAIL REQUIRED WHEN APPLYING THIS TECHNIQUE TO PARTIAL DIFFERENTIAL EQUATIONS. THE AUTHOR GENERALIZES THE PRESENTED APPROACH TO PARTIAL DIFFERENTIAL EQUATIONS WHICH INCLUDE NONLINEARITIES. THE BOOK ALSO INCLUDES VARIATIONS OF THE FINITE ELEMENT METHOD SUCH AS DIFFERENT CLASSES OF MESHES AND BASIC FUNCTIONS.&NBSP;PRACTICAL APPLICATION OF THE THEORY IS EMPHASISED, WITH DEVELOPMENT OF ALL CONCEPTS LEADING ULTIMATELY TO A DESCRIPTION OF THEIR COMPUTATIONAL IMPLEMENTATION ILLUSTRATED USING MATLAB FUNCTIONS. THE TARGET AUDIENCE PRIMARILY COMPRISES APPLIED RESEARCHERS AND PRACTITIONERS IN ENGINEERING, BUT THE BOOK MAY ALSO BE BENEFICIAL FOR GRADUATE STUDENTS.<DIV><BR></DIV>

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This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.

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