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The Boundary-Domain Integral Method for Elliptic Systems

With Application to Shells

  • Book
  • © 1998

Overview

Authors:
  1. Andreas Pomp
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1683)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Pseudohomogeneous distributions

    • Andreas Pomp
    Pages 2-27

  3. Levi functions for elliptic systems of partial differential equations

    • Andreas Pomp
    Pages 29-45

  4. Systems of integral equations, generated by Levi functions

    • Andreas Pomp
    Pages 47-68

  5. The differential equations of the DV model

    • Andreas Pomp
    Pages 70-88

  6. Levi functions for the shell equations

    • Andreas Pomp
    Pages 89-108

  7. The system of integral equations and its numerical solution

    • Andreas Pomp
    Pages 109-135

  8. An example: Katenoid shell under torsion

    • Andreas Pomp
    Pages 137-153

  9. Back Matter

    Pages 154-164
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Keywords

About this book

This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.

Bibliographic Information

  • Book Title: The Boundary-Domain Integral Method for Elliptic Systems

  • Book Subtitle: With Application to Shells

  • Authors: Andreas Pomp

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094576

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-64163-6Published: 18 March 1998

  • eBook ISBN: 978-3-540-69697-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVI, 172

  • Topics: Numerical Analysis, Partial Differential Equations

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