Sommario
Si presenta un metodo, basato sull'analisi funzionale, che permette di dare una formulazione rigorosa dei metodi variazionali “ibridi” e di generare nuovi funzionali ibridi che possono essere sfruttati per sviluppare nuove tecniche da impiegare sia con il metodo degli elementi finiti che con altri metodi approssimati.
Summary
A functional analysis approach is presented which leads to the rigorous formulation of classical hybrid variational methods and to the generation of new hybrid functionals which can be used, to advantage, to device new techniques for finite elements (and other approximate) methods.
This is a preview of subscription content, log in via an institution to check access.
References
Napolitano L. G., “Unified functional approach to the solution of formally adjoint problems of continuum mechanics,”Letters in Applied and Engineering Sciences, vol. I, pp. 465–479, Pergamon Press Inc., New York, 1973.
Zienkiewicz O. C.,The Finite Element Methods in Continuum Mechanics, McGraw-Hill Book Company, Inc., New York, 1971.
Norrie D. H., andDe Vries G., “Application of Finite Elements in Fluid Dynamics,”Agardograph, L. S. 48, 1971.
Napolitano L. G., “Finite Element Methods in Fluid Dynamics,” AGARD-VKI, Lecture Series, 1973.
Fraiejs De Veubeke B. M., Hagge M. A., “Dual Analysis for Heat Conduction Problems by Finite Elements,”Int. Jnl. for Num. Meth. in Eng.,4, 1972.
Pian T. H. H., “Hybrid Method,” Symposium on Numerical Methods in Structural Mechanics, Univ. of Illinois, 1971.
Lions J. L., Magenes E.,Problèms aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968.
Tonti E., “A mathematical model for physical theories,”Acc. Lincei, Rend. Sc. Fis. Mat. e Nat., vol. LII, Feb. 1972.
Morse P. M., Feshbach H.,Methods of Theoretical Physics, Mc-Graw Hill Book Company, Inc., New York, 1971.
Mikhlin S. G.,Mathematical Physics, An advanced course, North-Holland, Amsterdam, 1970.
Bachman G., Narici L.,Functional Analysis, Academic Press, New York, 1966.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Napolitano, L.G. On the functional analysis derivation and generalization of hybrid variational methods. Meccanica 10, 188–193 (1975). https://doi.org/10.1007/BF02149032
Issue Date:
DOI: https://doi.org/10.1007/BF02149032