1.

Record Nr.

UNISA996466869103316

Autore

Pomp Andreas <1952->

Titolo

The boundary-domain integral method for elliptic systems / / Andreas Pomp

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , [1998]

©1998

ISBN

3-540-69697-0

Edizione

[1st ed. 1998.]

Descrizione fisica

1 online resource (XVI, 172 p.)

Collana

Lecture Notes in Mathematics ; ; 1683

Classificazione

65N38

Disciplina

510

Soggetti

Mathematics

Differential equations, Partial

Numerical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.