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

• Κύριος συγγραφέας: Pomp, Andreas (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Έκδοση: 1st ed. 1998.
• Σειρά: Lecture Notes in Mathematics, 1683
• Θέματα: Numerical analysis.; Partial differential equations.; Numerical Analysis.; Partial Differential Equations.

 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. 

 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.