caa a22 4500 445862130 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10092-011-0042-0 doi (NATIONALLICENCE)springer-10.1007/s10092-011-0042-0 Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system [Elektronische Daten] [Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille] 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. Springer-Verlag, 2011 Reissner-Mindlin plate nationallicence Finite elements nationallicence A posteriori error estimators nationallicence Creusé Emmanuel Laboratoire Paul Painlevé, UMR CNRS 8524, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655, Villeneuve d'Ascq Cedex, France aut Nicaise Serge LAMAV, FR CNRS 2956, Institut des Sciences et Techniques de Valenciennes, Université de Valenciennes et du Hainaut Cambrésis, 59313, Valenciennes Cedex 9, France aut Verhille Emmanuel Laboratoire Paul Painlevé, UMR CNRS 8524, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655, Villeneuve d'Ascq Cedex, France aut Calcolo Springer Milan 48/4(2011-12-01), 307-335 0008-0624 48:4<307 2011 48 10092 https://doi.org/10.1007/s10092-011-0042-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-011-0042-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Creusé Emmanuel Laboratoire Paul Painlevé, UMR CNRS 8524, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655, Villeneuve d'Ascq Cedex, France aut NATIONALLICENCE 700 1- Nicaise Serge LAMAV, FR CNRS 2956, Institut des Sciences et Techniques de Valenciennes, Université de Valenciennes et du Hainaut Cambrésis, 59313, Valenciennes Cedex 9, France aut NATIONALLICENCE 700 1- Verhille Emmanuel Laboratoire Paul Painlevé, UMR CNRS 8524, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655, Villeneuve d'Ascq Cedex, France aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/4(2011-12-01), 307-335 0008-0624 48:4<307 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer