Discretizzazione di domini infiniti (elementi infiniti). Nota II

Gianmaria Donida; Luisa Tabusso

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1980)

  • Volume: 69, Issue: 6, page 380-385
  • ISSN: 0392-7881

Abstract

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A new technique for analysing problems which extend to infinity using elements is presented. A typical situation is that of the unbounded surface wave problems, either in two or three dimensions. The strategy is to discretize the inner domain in the standard finite element manner and to discretize the outer domain which extends to infinity with special infinite elements, for these elements are here suggested a series of shape functions analogous to Lagrange polynomials, but including an exponential decay. These shape functions are applied to an illustrative example which shows the success of the method.

How to cite

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Donida, Gianmaria, and Tabusso, Luisa. "Discretizzazione di domini infiniti (elementi infiniti). Nota II." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 69.6 (1980): 380-385. <http://eudml.org/doc/288920>.

@article{Donida1980,
author = {Donida, Gianmaria, Tabusso, Luisa},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {12},
number = {6},
pages = {380-385},
publisher = {Accademia Nazionale dei Lincei},
title = {Discretizzazione di domini infiniti (elementi infiniti). Nota II},
url = {http://eudml.org/doc/288920},
volume = {69},
year = {1980},
}

TY - JOUR
AU - Donida, Gianmaria
AU - Tabusso, Luisa
TI - Discretizzazione di domini infiniti (elementi infiniti). Nota II
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1980/12//
PB - Accademia Nazionale dei Lincei
VL - 69
IS - 6
SP - 380
EP - 385
LA - ita
UR - http://eudml.org/doc/288920
ER -

References

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  1. Bettess, P. (1977) - Infinite Elements, «International Journal for Numerical Methods in Engineering», 11, 53-64. Zbl0362.65093
  2. Abramowitz, e Irene, A. (1970) - Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables, Ed. Milton, New York. 
  3. Zienkiewicz, O.C. (1971) - The Finite Element Method in Engineering Science, McGraw-Hill, London. Zbl0237.73071
  4. Gartling, D. e Becker, E.B. (1974) - Computationally Efficient Finite Element Analysis of Viscous Flow Problems, In «Computational Methods in Non Linear Mechanics», Ed. J.T. Oden and Al., Texas Institute for Computational Mechanics. Zbl0309.76028

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