Mathematical and Numerical Methods for Partial Differential Equations Applications for Engineering Sciences

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general...

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Bibliographic Details
Main Author: Chaskalovic, Joël
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Mathematical Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Chaskalovic, Joël 
245 0 0 |a Mathematical and Numerical Methods for Partial Differential Equations  |h Elektronische Ressource  |b Applications for Engineering Sciences  |c by Joël Chaskalovic 
250 |a 1st ed. 2014 
260 |a Cham  |b Springer International Publishing  |c 2014, 2014 
300 |a XIV, 358 p. 38 illus  |b online resource 
505 0 |a From the Contents: Introduction to functional analytical methods of partial differential equations -- The finite element method -- Variational Formulations of elliptic boundary problems -- Finite Elements and differential Introduction to functional analytical methods of partial differential equations -- The finite element method -- Variational Formulations of elliptic boundary problems 
653 |a Mechanics, Applied 
653 |a Engineering mathematics 
653 |a Numerical Analysis 
653 |a Solids 
653 |a Solid Mechanics 
653 |a Numerical analysis 
653 |a Engineering / Data processing 
653 |a Differential Equations 
653 |a Mathematical and Computational Engineering Applications 
653 |a Differential equations 
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490 0 |a Mathematical Engineering 
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520 |a This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material, as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic