Green's Functions and Finite Elements

  • Friedel Hartmann

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Friedel Hartmann
    Pages 1-34
  3. Friedel Hartmann
    Pages 35-107
  4. Friedel Hartmann
    Pages 109-208
  5. Friedel Hartmann
    Pages 209-239
  6. Friedel Hartmann
    Pages 241-317
  7. Friedel Hartmann
    Pages 319-323
  8. Back Matter
    Pages 325-327

About this book

Introduction

This book elucidates how Finite Element methods look like from the perspective of Green’s functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem.
The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Green’s functions  and how approximating of Green’s functions. It discusses in detail the discretization error and shows that are coherent with the strategy of “goal oriented refinement”. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.

Keywords

Betti’s Theorem discretization error duality arguments goal oriented refinement influence functions modeling error sensitivity analysis solid mechanics stiffness matrix

Authors and affiliations

  • Friedel Hartmann
    • 1
  1. 1., Structural MechanicsUniversity of KasselBaunatalGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-29523-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-29522-5
  • Online ISBN 978-3-642-29523-2
  • About this book