We present reliable finite element discretizations based on displacement/pressure interpolations for the analysis of acoustic fluid-structure interaction problems. The finite element interpolations are selected using the inf-sup condition, and emphasis is given to the fact that the boundary conditions must satisfy the mass and momentum conservation. We show that with our analysis procedure no spurious non-zero frequencies are encountered, as heretofore calculated with other displacement-based discretizations. (C) 1997 by John Wiley & Sons, Ltd.
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Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Brenner, Susanne C.
Cesmelioglu, Aycil
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Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Cesmelioglu, Aycil
Cui, Jintao
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Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R ChinaLouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Cui, Jintao
Sung, Li-Yeng
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Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA