Finite element approximation of a displacement formulation for time-domain elastoacoustic vibrations

Journal of Computational and Applied Mathematics

Volumn 152, Issue 1-2, 2003, Pages 17-34

  Bermudez A ^a   Rodriguez R ^b   Santamarina, D ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

Finite element methods; Fluid structure interaction; Time domain elastoacoustics

Indexed keywords

COMPRESSIBILITY OF LIQUIDS; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; STABILITY; TIME DOMAIN ANALYSIS;

RAVIART-THOMAS ELEMENTS;

FINITE ELEMENT METHOD;

ACOUSTICS; FINITE ELEMENT ANALYSIS; VIBRATION;

EID: 0242669931     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00694-5     Document Type: Article

References (11)

1. A. Bermúdez, R. Duran, M.A. Muschietti, R. Rodríguez, J.Solomin, Finite element vibration analysis of fluid-solid systems without spurious modes, SIAM J.Numer.Anal.32 (1995) 1280-1295.
2. A. Bermúdez, R. Rodríguez, Finite element computation of the vibration modes of a fluid-solid system, Comput. Methods Appl.Mech.Eng.119 (1994) 355-370.
3. J. Boujot, Étude d'une famille de problémes d'évolution du second ordre, correspondant à divers modèles de couplage fluide-structure en régime transitoire, C.R. Acad. Sci. Paris, t.301, Ser. I 7 (1985) 391-394.
4. R. Dautray, J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol.5, Springer, Berlin, Heidelberg, 1992.
5. G. Duvaut, J.-L. Lions, Les Inéquations en Mécanique et en Physique, Dunod, Paris, 1972.
6. L. Kiefling, G.C. Feng, Fluid-structure finite element vibration analysis, AIAA J.14 (1976) 199-203.
7. J.-L. Lions, E. Magenes, Problemes aux Limites non Homogenes et Aplications, Dunod, Paris, 1970.
8. H.J.-P. Morand, R. Ohayon, Fluid Structure Interaction, Wiley, Chichester, 1995.
9. P.A. Raviart, J.-M. Thomas, A mixed finite element method for second order elliptic problems, in: I. Galligani, E. Magenes (Eds.), Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, Vol. 606, Springer, Berlin, 1977, pp. 292-315.
10. P.A. Raviart, J.-M. Thomas, Introduction aca L'Analyse Numérique des Équations aux Dérivées Partielles, Masson, Paris, 1992.
11. L. Rhaouti, Domaines fictifs pour la modélisation d'un problème d'interaction fluide-structure: simulation de la timbale, Ph.D. Thesis, Université de Paris IX, 1999.