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Green's Functions and Finite Elements

  • Book
  • © 2013

Overview

Authors:
  1. Friedel Hartmann

    1. , Structural Mechanics, University of Kassel, Baunatal, Germany

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  • Combines a classical mathematical tool with the standard Finite Element Methods

  • Gives new insights to the Finite Element methods

  • Help to find the best Finite Element model to a given problem

  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Friedel Hartmann
    Pages 1-34

  3. Basic Concepts

    • Friedel Hartmann
    Pages 35-107

  4. Finite Elements and Green’s Functions

    • Friedel Hartmann
    Pages 109-208

  5. The Discretization Error

    • Friedel Hartmann
    Pages 209-239

  6. Modeling Error

    • Friedel Hartmann
    Pages 241-317

  7. Appendix

    • Friedel Hartmann
    Pages 319-323

  8. Back Matter

    Pages 325-327
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Keywords

About this book

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.

Authors and Affiliations

  • , Structural Mechanics, University of Kassel, Baunatal, Germany

    Friedel Hartmann

Bibliographic Information

  • Book Title: Green's Functions and Finite Elements

  • Authors: Friedel Hartmann

  • DOI: https://doi.org/10.1007/978-3-642-29523-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-29522-5Published: 01 August 2012

  • Softcover ISBN: 978-3-642-42923-1Published: 20 September 2014

  • eBook ISBN: 978-3-642-29523-2Published: 01 August 2012

  • Edition Number: 1

  • Number of Pages: XIV, 330

  • Topics: Solid Mechanics, Computational Mathematics and Numerical Analysis, Solid Mechanics

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