Artículo
Boffi, D.; Duran, R.G.; Gastaldi, L. "A remark on spurious eigenvalues in a square" (1999) Applied Mathematics Letters. 12(3):107-114
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Abstract:
We study the finite element approximation of the eigensolutions of a second-order problem in a square arising in fluid-structure interaction. We analyze the schemes described in [1] and show that, when a uniform mesh is used, the first two methods produce spurious eigenmodes of different nature, while the third one provides eigensolutions converging to the continuous ones. © 1999 Elsevier Science Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | A remark on spurious eigenvalues in a square |
| Autor: | Boffi, D.; Duran, R.G.; Gastaldi, L. |
| Filiación: | Dipto. di Matematica F. Casorati, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy Departimento de Matemática, Facultad de Ciencias Exactas, Universidad de Buenos Aires, 1428, Buenos Aires, Argentina Dipartimento di Matematica, Univ. di Roma La Sapienza, P. le A. Moro 2, 00185 Roma, Italy |
| Año: | 1999 |
| Volumen: | 12 |
| Número: | 3 |
| Página de inicio: | 107 |
| Página de fin: | 114 |
| DOI: | http://dx.doi.org/10.1016/S0893-9659(98)00181-5 |
| Título revista: | Applied Mathematics Letters |
| Título revista abreviado: | Appl Math Lett |
| ISSN: | 08939659 |
| CODEN: | AMLEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v12_n3_p107_Boffi |
Referencias:
- Chen, H., Taylor, R., Vibration analysis of fluid-solid systems using a finite element displacement formulation (1990) Int. J. Numer. Methods Eng., 29, pp. 683-698
- Boffi, D., Fernandes, P., Gastaldi, L., Perugia, I., Computational models of electromagnetic resonators: Analysis of edge element approximation SIAM Journal of Numer. An., , submitted
- Boffi, D., Brezzi, F., Gastaldi, L., On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form Math. Comp., , submitted
- Bermúdez, I., Durán, R., Muschietti, A., Rodríguez, R., Solomin, J., Finite element vibration analysis of fluid-solid systems without spurious modes (1995) SIAM J. Numer. Anal., 32, pp. 1280-1295
- Brezzi, F., Fortin, M., (1991) Mixed and Hybrid Finite Element Methods, , Springer-Verlag, New York
Citas:
---------- APA ----------
Boffi, D., Duran, R.G. & Gastaldi, L. (1999) . A remark on spurious eigenvalues in a square. Applied Mathematics Letters, 12(3), 107-114.http://dx.doi.org/10.1016/S0893-9659(98)00181-5
---------- CHICAGO ----------
Boffi, D., Duran, R.G., Gastaldi, L. "A remark on spurious eigenvalues in a square" . Applied Mathematics Letters 12, no. 3 (1999) : 107-114.http://dx.doi.org/10.1016/S0893-9659(98)00181-5
---------- MLA ----------
Boffi, D., Duran, R.G., Gastaldi, L. "A remark on spurious eigenvalues in a square" . Applied Mathematics Letters, vol. 12, no. 3, 1999, pp. 107-114.http://dx.doi.org/10.1016/S0893-9659(98)00181-5
---------- VANCOUVER ----------
Boffi, D., Duran, R.G., Gastaldi, L. A remark on spurious eigenvalues in a square. Appl Math Lett. 1999;12(3):107-114.http://dx.doi.org/10.1016/S0893-9659(98)00181-5
