Mathematical and Numerical Methods for Partial Differential Equations

Applications for Engineering Sciences

  • Joël Chaskalovic

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Theory

    1. Front Matter
      Pages 1-1
    2. Joël Chaskalovic
      Pages 63-109
  3. Worked Problems

    1. Front Matter
      Pages 111-111
    2. Joël Chaskalovic
      Pages 213-250
    3. Joël Chaskalovic
      Pages 251-311
    4. Joël Chaskalovic
      Pages 313-353
  4. Back Matter
    Pages 355-358

About this book

Introduction

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

Keywords

Deformable Solid Body Mechanics Elliptic Boundary Problems Finite-element Mathematics Non-linear Problems Strength of Materials differential Boundary Conditions

Authors and affiliations

  • Joël Chaskalovic
    • 1
  1. 1.Institut Jean le Rond d'Alembert, University Pierre and Marie CurieParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03563-5
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03562-8
  • Online ISBN 978-3-319-03563-5
  • Series Print ISSN 2192-4732
  • Series Online ISSN 2192-4740
  • About this book