| Issue |
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
|
|
|---|---|---|
| Page(s) | 357 - 372 | |
| DOI | https://doi.org/10.1051/m2an:2003031 | |
| Published online | 15 November 2003 | |
Finite element methods on non-conforming grids by penalizing the matching constraint
Department of Mechanical Engineering,
Laboratory for Production Management and Process, EPFL, 1015 Lausanne, Switzerland. eric.boillat@epfl.ch.
Received:
25
June
2002
Revised:
17
December
2002
The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.
Mathematics Subject Classification: 65N12 / 65N30 / 65F10
Key words: Finite element methods / non-matching grids / penalty technique.
© EDP Sciences, SMAI, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.