Andreas Pomp (auth.)3540641637, 9783540641636
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. |
Table of contents :
Pseudohomogeneous distributions….Pages 1-27
Levi functions for elliptic systems of partial differential equations….Pages 29-45
Systems of integral equations, generated by Levi functions….Pages 47-68
The differential equations of the DV model….Pages 69-88
Levi functions for the shell equations….Pages 89-108
The system of integral equations and its numerical solution….Pages 109-135
An example: Katenoid shell under torsion….Pages 137-153 |
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