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penalty technique.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Finite element methods on non-conforming gridsby penalizing the matching constraint
Eric Boillat
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 2 / March 2003

Published online by Cambridge University Press:

15 November 2003, pp. 357-372

Print publication:

March 2003
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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.