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Pre-Publicación 2012-09

Claudio Padra, Rodolfo Rodríguez, Mario Scheble:

An hp finite element method to solve a fluid-solid vibration problem

Abstract:

This paper deals with a two-dimensional fluid-solid vibration problem arising from nuclear engineering: the vibration of elastically mounted tubes immersed in a cavity filled with fluid. A convenient variational formulation of this problem, valid for compressible and incompressible fluids, is introduced. An hp finite element method is used for its discretization, which leads to a well posed matrix eigenvalue problem. Optimal order a priori error estimates are proved for eigenfunctions and eigenvalues. Then, local a posteriori error indicators are defined and its efficiency and reliability are studied. An adaptive scheme driven by these indicators is proposed and numerically tested.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Claudio PADRA, Rodolfo RODRíGUEZ, Mario SCHEBLE: An hp finite element method to solve a fluid-solid vibration problem. SIAM Journal on Scientific Computing, vol. 34, 5, pp. A2533-A2557, (2012).