Accurate Numerical Approximations of Eigenfrequencies and Eigenfunctions of Elliptic Membranes
Identifieur interne : 003253 ( Main/Exploration ); précédent : 003252; suivant : 003254Accurate Numerical Approximations of Eigenfrequencies and Eigenfunctions of Elliptic Membranes
Auteurs : Jörg Hettich [Allemagne] ; E. Haaren [Allemagne] ; M. Ries [Allemagne] ; G. Still [Allemagne]Source :
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik [ 0044-2267 ] ; 1987.
Abstract
In earlier papers [3, 4] a defect‐minimization method was proposed to compute approximate eigenfunctions of membranes by means of a parametric semi‐infinite optimization problem. The method gives approximations and error bounds of eigenvalues and eigenfunctions. An algorithm based on this method has been implemented for the special case of elliptic membranes with variable eccentricity. In this paper we show that by this method we obtain very accurate results even for eccentricities near one. In addition the method is very appropriate to study the behavior of eigenfunctions.
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DOI: 10.1002/zamm.19870671201
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The method gives approximations and error bounds of eigenvalues and eigenfunctions. An algorithm based on this method has been implemented for the special case of elliptic membranes with variable eccentricity. In this paper we show that by this method we obtain very accurate results even for eccentricities near one. In addition the method is very appropriate to study the behavior of eigenfunctions.</div></front></TEI><affiliations><list><country><li>Allemagne</li></country></list><tree><country name="Allemagne"><noRegion><name sortKey="Hettich, Jorg" sort="Hettich, Jorg" uniqKey="Hettich J" first="Jörg" last="Hettich">Jörg Hettich</name></noRegion><name sortKey="Haaren, E" sort="Haaren, E" uniqKey="Haaren E" first="E." last="Haaren">E. Haaren</name><name sortKey="Ries, M" sort="Ries, M" uniqKey="Ries M" first="M." last="Ries">M. Ries</name><name sortKey="Still, G" sort="Still, G" uniqKey="Still G" first="G." last="Still">G. Still</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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