Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures

An a posteriori error estimator is developed for the eigenvalue analysis of heterogeneous elastic structures. It constitutes an extension of a well-known explicit estimator to heterogeneous structures. We prove that our estimates are independent of the variations in material properties and independent of the polynomial degree of finite elements. Finally, we study numerically the effectivity of this estimator on several model problems.