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. firstname.lastname@example.org.
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