Istituto di Matematica Applicata e Tecnologie Informatiche     
Brezzi F., Franca L. P., Marini D. L., Russo A. Stabilization techniques for domain decomposition methods with non-matching grids. Preprint ercim.cnr.ian//1997-1037, 1997.
The Dirichlet problem with Lagrange multipliers is a common ingredient in domain decomposition methods with non-matching grids. We propose a new way of stabilizing it by means of bubble functions on the boundary. Static condensation allows the elimination of both bubbles and Lagrange multipliers, leading to a simple variant of Nitsche's scheme.
Subject 65-XX

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