Finite Element Methods - Whiteley, Jonathan

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Auteur(s) : Whiteley, Jonathan

Editeur : Springer International Publishing Ag

Langue : Anglais

Parution : 01/02/2017

Format : Moyen, de 350g à 1kg

Nombre de pages : 244

Expédition : 535

Dimensions : 24.1 x 16.0 x 1.9

ISBN : 9783319499703

Résumé :
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.

Biographie:
Dr. Joe Pitt-Francis?is a Departmental Lecturer at the Department of Computer Science and teaches Computer Science at Exeter College, the University of Oxford, UK. Prof. Jonathan Whiteley?is Associate Professor at the Department of Computer Science and Governing Body Fellow of Linacre College, the University of Oxford, UK....

Sommaire:
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.