The boundary-domain integral method for elliptic systems
著者
書誌事項
The boundary-domain integral method for elliptic systems
（Lecture notes in mathematics, 1683）
Springer, c1998
- : pbk
- タイトル別名
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The boundary-domain integral method for elliptic systems : with an application to shells
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注記
Includes bibliographical references (p. [157]-163) and index
内容説明・目次
内容説明
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.
目次
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.
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