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Armentano, M.G.; Padra, C.; Rodríguez, R.; Scheble, M. "An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations" (2011) Computer Methods in Applied Mechanics and Engineering. 200(1-4):178-188
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Abstract:

In this paper we introduce an hp finite element method to solve a two-dimensional fluid-structure spectral problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an a posteriori error estimator of the residual type which can be computed locally from the approximate eigenpair. We show its reliability and efficiency by proving that the estimator is equivalent to the energy norm of the error up to higher order terms, the equivalence constant of the efficiency estimate being suboptimal in that it depends on the polynomial degree. We present an hp adaptive algorithm and several numerical tests which show the performance of the scheme, including some numerical evidence of exponential convergence. © 2010 Elsevier B.V.

Registro:

Documento: Artículo
Título:An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
Autor:Armentano, M.G.; Padra, C.; Rodríguez, R.; Scheble, M.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Centro Atómico Bariloche, 4800 Bariloche, Argentina
CIMA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
Palabras clave:A posteriori error estimates; Finite elements; Fluid-structure interaction; Hp Version; Spectral approximation; Vibration problem; Finite Element; Hp-version; Posteriori error estimates; Spectral approximations; Vibration problem; Adaptive algorithms; Eigenvalues and eigenfunctions; Finite element method; Fluid structure interaction; Fluids; Vibration analysis; Convergence of numerical methods
Año:2011
Volumen:200
Número:1-4
Página de inicio:178
Página de fin:188
DOI: http://dx.doi.org/10.1016/j.cma.2010.08.003
Título revista:Computer Methods in Applied Mechanics and Engineering
Título revista abreviado:Comput. Methods Appl. Mech. Eng.
ISSN:00457825
CODEN:CMMEC
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00457825_v200_n1-4_p178_Armentano

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Citas:

---------- APA ----------
Armentano, M.G., Padra, C., Rodríguez, R. & Scheble, M. (2011) . An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations. Computer Methods in Applied Mechanics and Engineering, 200(1-4), 178-188.
http://dx.doi.org/10.1016/j.cma.2010.08.003
---------- CHICAGO ----------
Armentano, M.G., Padra, C., Rodríguez, R., Scheble, M. "An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations" . Computer Methods in Applied Mechanics and Engineering 200, no. 1-4 (2011) : 178-188.
http://dx.doi.org/10.1016/j.cma.2010.08.003
---------- MLA ----------
Armentano, M.G., Padra, C., Rodríguez, R., Scheble, M. "An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations" . Computer Methods in Applied Mechanics and Engineering, vol. 200, no. 1-4, 2011, pp. 178-188.
http://dx.doi.org/10.1016/j.cma.2010.08.003
---------- VANCOUVER ----------
Armentano, M.G., Padra, C., Rodríguez, R., Scheble, M. An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations. Comput. Methods Appl. Mech. Eng. 2011;200(1-4):178-188.
http://dx.doi.org/10.1016/j.cma.2010.08.003