Finite element methods : a practical guide

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...

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Bibliographic Details
Main Author: Whiteley, Jonathan, (Author)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, 2017.
Series: Mathematical engineering.
Subjects:
ISBN: 9783319499710
9783319499703
Physical Description: 1 online resource : illustrations

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100 1 |a Whiteley, Jonathan,  |e author. 
245 1 0 |a Finite element methods :  |b a practical guide /  |c Jonathan Whiteley. 
264 1 |a Cham, Switzerland :  |b Springer,  |c 2017. 
300 |a 1 online resource :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
490 1 |a Mathematical engineering 
505 0 |a An overview of the finite element method -- A first example -- Linear boundary value problems -- Higher order basis functions -- Nonlinear boundary value problems -- Systems of ordinary differential equations -- Linear elliptic partial differential equations -- More general elliptic problems -- Quadrilateral elements -- Higher order basis functions -- Nonlinear elliptic partial differential equations -- Systems of elliptic equations -- Parabolic partial differential equations. 
504 |a Includes bibliographical references and index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Finite element method. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
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776 0 8 |i Printed edition:  |z 9783319499703 
830 0 |a Mathematical engineering. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-3-319-49971-0  |y Plný text 
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