2 research outputs found
Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system
We consider a conforming finite element approximation of the Reissner-Mindlin
system. We propose a new robust a posteriori error estimator based on H(div)
conforming finite elements and equilibrated fluxes. It is shown that this
estimator gives rise to an upper bound where the constant is one up to higher
order terms. Lower bounds can also be established with constants depending on
the shape regularity of the mesh. The reliability and efficiency of the
proposed estimator are confirmed by some numerical tests
Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system
International audienceWe consider a conforming finite element approximation of the Reissner-Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the eigenvalue errors is proposed. For that purpose, we first perform a robust a priori error analysis without strong regularity assumption. Upper and lower bounds are then obtained up to higher order terms that are super convergent, provided that the eigenvalue is simple. The convergence rate of the proposed estimator is confirmed by a numerical test