A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis. (English) Zbl 0959.74062
Summary: We present an a posteriori error estimator for piecewise linear finite element approximations of structure vibration problems. We prove that this estimator is equivalent to the energy norm of the error. Also, we introduce an adaptive mesh refinement procedure based on the proposed estimator to analyze fluid-structure interaction problems. Finally, numerical results for some test examples are presented which show the efficiency of the error estimator and the mesh refinement techniques.
MSC:
74S05 | Finite element methods applied to problems in solid mechanics |
74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
65N15 | Error bounds for boundary value problems involving PDEs |
74H45 | Vibrations in dynamical problems in solid mechanics |