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The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
Author(s):
Rodolfo
Rodríguez;
Jorge
E.
Solomin.
Journal:
Math. Comp.
65
(1996),
1463-1475.
MSC (1991):
Primary 65N25, 65N30;
Secondary 70J30, 73K70, 76Q05
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Abstract:
In this paper we prove a double order for the convergence of eigenfrequencies in fluid-structure vibration problems. We improve estimates given recently for compressible and incompressible fluids. To do this, we extend classical results on finite element spectral approximation to nonconforming methods for noncompact operators.
References:
- 1.
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- A. Bermúdez, R. Durán, M.A. Muschietti, R. Rodríguez and J. Solomin, Finite element vibration analysis of fluid-solid systems without spurious modes, SIAM J. Numer. Anal., 32 (1995), 1280--1295. CMP 95:15
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Additional Information:
Rodolfo
Rodríguez
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 4009, Concepción, Chile
Email:
rodolfo@gauss.cfm.udec.cl
Jorge
E.
Solomin
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 4009, Concepción, Chile
Email:
solo@mate.unlp.edu.ar
DOI:
10.1090/S0025-5718-96-00739-9
PII:
S 0025-5718(96)00739-9
Keywords:
Fluid-structure,
eigenvalue problems
Received by editor(s):
January 30, 1995
Additional Notes:
Partially supported by Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Copyright of article:
Copyright
1996,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article A. Bermudez, R. Duran, R. Rodriguez, Finite element analysis of compressible and incompressiblefluid-solid systems, Mathematics of Computation 67 (1997), 1435-1448.
A. Bermudez, R. Duran, R. Rodriguez, Finite element solution of incompressible fluid-structure vibration problems, International Journal for Numerical Methods in Engineering 40 (1997), 1435-1448.
A. Alonso, A. Dello Russo, V. Vampa, A Posteriori Error Estimates in Finite Element Solution of StructureVibration Problems with Applications to Acoustical Fluid-Structure Analysis, Computational Mechanics 23 (1999), 231-239.
A. Bermudez, R. Rodriguez, Finite element analysis of sloshing and hydroelastic vibrations under gravity, M2AN Mathematical Modelling and Numerical Analysis 33 (1999), 305-327.
A. Alonso, A. Dello Russo, V. Vampa, A posteriori error estimates in finite element acoustic analysis, Journal of Computational and Applied Mathematics 117 (2000), 105-119.
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