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Numerische Mathematik

, Volume 90, Issue 4, pp 617–640 | Cite as

Error estimate for a stabilised domain decomposition method with nonmatching grids

  • Annalisa Buffa
Original article

Summary. In this paper, we analyse a stabilisation technique for the so-called three-field formulation for nonoverlapping domain decomposition methods. The stabilisation is based on boundary bubble functions in each subdomain which are then eliminated by static condensation. The discretisation grids in the subdomains can be chosen independently as well as the grid for the final interface problem. We present the analysis of the method and we construct a set of bubble functions which guarantees the optimal rate of convergence.

Mathematics Subject Classification (1991): 65N55 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Annalisa Buffa
    • 1
  1. 1.Università degli Studi di Pavia, Dipartimento di Matematica, Via Ferrata 1, 27100 Pavia, Italy; e-mail: annalisa@dragon.ian.pv.cnr.it IT

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