Some refined finite volume element methods for the Stokes and Navier-Stokes systems with corner singularities

Verfasser / Beitragende:
[K. Djadel, S. Nicaise]
Ort, Verlag, Jahr:
2004
Enthalten in:
Journal of Numerical Mathematics, 12/4(2004-11-01), 255-284
Format:
Artikel (online)
ID: 378920715
LEADER caa a22 4500
001 378920715
003 CHVBK
005 20180305123604.0
007 cr unu---uuuuu
008 161128e20041101xx s 000 0 eng
024 7 0 |a 10.1515/1569395042571283  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.1515/1569395042571283 
245 0 0 |a Some refined finite volume element methods for the Stokes and Navier-Stokes systems with corner singularities  |h [Elektronische Daten]  |c [K. Djadel, S. Nicaise] 
520 3 |a 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. 
540 |a Copyright 2004, Walter de Gruyter 
690 7 |a singularities  |2 nationallicence 
690 7 |a mesh refinement  |2 nationallicence 
690 7 |a finite volume-element methods  |2 nationallicence 
700 1 |a Djadel  |D K.  |u Université des Sciences et Techniques de Lille, Laboratoire de Mathématiques Appliquées,F-59655 Villeneuve d'Ascq cedex  |4 aut 
700 1 |a Nicaise  |D S.  |u Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, F-59313 Valenciennescedex 9  |4 aut 
773 0 |t Journal of Numerical Mathematics  |d Walter de Gruyter  |g 12/4(2004-11-01), 255-284  |x 1570-2820  |q 12:4<255  |1 2004  |2 12  |o jnma 
856 4 0 |u https://doi.org/10.1515/1569395042571283  |q text/html  |z Onlinezugriff via DOI 
908 |D 1  |a research article  |2 jats 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1515/1569395042571283  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Djadel  |D K.  |u Université des Sciences et Techniques de Lille, Laboratoire de Mathématiques Appliquées,F-59655 Villeneuve d'Ascq cedex  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Nicaise  |D S.  |u Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, F-59313 Valenciennescedex 9  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Numerical Mathematics  |d Walter de Gruyter  |g 12/4(2004-11-01), 255-284  |x 1570-2820  |q 12:4<255  |1 2004  |2 12  |o jnma 
900 7 |b CC0  |u http://creativecommons.org/publicdomain/zero/1.0  |2 nationallicence 
898 |a BK010053  |b XK010053  |c XK010000 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-gruyter