The Boundary-Domain Integral Method for Elliptic Systems

With Application to Shells
1998
ISBN: 978-3-540-64163-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1683, 172 Seiten, Format (B × H): 155 mm x 233 mm, Gewicht: 286 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Pomp, Andreas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.