A NUMERICAL STUDY OF A SPECTRAL PROBLEM
IN SOLID-FLUID TYPE STRUCTURES
    Carlos CONCA
     Mario DURAN

This article presents a numerical study of a spectral problem which models the
vibrations of a solid-fluid structure. It is a quadratic eigenvalue problem
involving incompressible Stokes equations. In its numerical approximation
we use Lagrange finite elements. To approximate the velocity, degree 2
polynomials on triangles were used, and for the pressure, degree 1
polynomials. The numerical results obtained confirm the theory, as they show in
particular that the known theoretical bound for the maximum number of non-real
eigenvalues admitted by such a system is optimal. The results also take account
of the dependence of vibration frequencies with respect to determined physical
parameters which have a bearing on the model. 

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