caa a22 4500 378920715 CHVBK 20180305123604.0 cr unu---uuuuu 161128e20041101xx s 000 0 eng 10.1515/1569395042571283 doi (NATIONALLICENCE)gruyter-10.1515/1569395042571283 Some refined finite volume element methods for the Stokes and Navier-Stokes systems with corner singularities [Elektronische Daten] [K. Djadel, S. Nicaise] It is well known that the solution of the Stokes or Navier-Stokes system in a non convex polygonal domain of has a singular behaviour near non convex corners. Consequently we investigate different refined (non conforming) finite volume-element methods to approximate the solution of such problems and restore optimal orders of convergence as for smooth solutions. Numerical tests are presented, which confirm the theoretical rates of convergence and illustrate the advantage of the use of refined meshes. Copyright 2004, Walter de Gruyter singularities nationallicence mesh refinement nationallicence finite volume-element methods nationallicence Djadel K. Université des Sciences et Techniques de Lille, Laboratoire de Mathématiques Appliquées,F-59655 Villeneuve d'Ascq cedex aut Nicaise S. Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, F-59313 Valenciennescedex 9 aut Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 255-284 1570-2820 12:4<255 2004 12 jnma https://doi.org/10.1515/1569395042571283 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395042571283 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Djadel K. Université des Sciences et Techniques de Lille, Laboratoire de Mathématiques Appliquées,F-59655 Villeneuve d'Ascq cedex aut NATIONALLICENCE 700 1- Nicaise S. Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, F-59313 Valenciennescedex 9 aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/4(2004-11-01), 255-284 1570-2820 12:4<255 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter