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.

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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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Table of contents (7 chapters)

Front Matter

Pseudohomogeneous distributions

Levi functions for elliptic systems of partial differential equations

Systems of integral equations, generated by Levi functions

The differential equations of the DV model

Levi functions for the shell equations

The system of integral equations and its numerical solution

An example: Katenoid shell under torsion

Back Matter

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