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

✍ Scribed by Joël Chaskalovic (auth.)

Publisher: Springer International Publishing
Year: 2014
Tongue: English
Leaves: 362
Series: Mathematical Engineering
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Applications of Functional Analysis to Partial Differential Equations....Pages 3-61
Finite-Element Method....Pages 63-109
Front Matter....Pages 111-111
Variational Formulations of Problems with Elliptical Boundary Conditions....Pages 113-159
Finite-Element Methods and Standard Differential Problems....Pages 161-211
Mechanics of Deformable Solids....Pages 213-250
Strength of Materials....Pages 251-311
Nonlinear Problems....Pages 313-353
Back Matter....Pages 355-358

✦ Subjects

Numerical Analysis; Continuum Mechanics and Mechanics of Materials; Partial Differential Equations; Appl.Mathematics/Computational Methods of Engineering

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