The Boundary-Domain Integral Method for Elliptic Systems: With Application to Shells

ISBN-13: 9783540641636 / Angielski / Miękka / 1998 / 172 str.

A. Pomp; Andreas Pomp

Opis

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.

Spis treści

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.