turkmath.org

In this talk we present mixed formulations for eigenvalue problem in two and three dimensions. More precisely, for the Stokes and linear elasticity eigenproblems. With the aid of suitable finite element spaces, we prove that the proposed methods are convergent and spurious free. We also present a piori error estimates for the eigenfunctions and eigenvalues. Also, we perform a posteriori error analysis for the presented mixed finite element discretizations, where the estimator results to be efficient and reliable. We report some numerical tests in order to observe the accuracy of the methods.