Articulo
A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems
Fecha
2001Registro en:
15000001
WOS:000174392100003
no scielo
eid=2-s2.0-0042788819
Institución
Resumen
This paper deals with an adaptive technique to compute structural-acoustic vibration modes. It is based on an a posteriori error estimator for a finite element method free of spurious or circulation nonzero-frequency modes. The estimator is shown to be equivalent, up to higher order terms, to the approximate eigenfunction error, measured in a useful norm; moreover, the equivalence constants are independent of the corresponding eigenvalue, the physical parameters, and the mesh size. This a posteriori error estimator yields global upper and local lower bounds for the error and, thus, it may be used to design adaptive algorithms. We propose a local refinement strategy based on this estimator and present a numerical test to assess the efficiency of this technique.