Summary.
In this paper we prove that, for suitable choices of the bilinear form involved in the stabilization procedure, the stabilized three fields domain decomposition method proposed in [8] is stable and convergent uniformly in the number of subdomains and with respect to their sizes under quite general assumptions on the decomposition and on the discretization spaces. The same is proven to hold for the resulting discrete Steklov-Poincaré operator.
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Received April 4, 2000 / Revised version received January 9, 2001 / Published online June 17, 2002
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Bertoluzza, S. Analysis of a stabilized three-fields domain decomposition method. Numer. Math. 93, 611–634 (2003). https://doi.org/10.1007/s002110100340
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DOI: https://doi.org/10.1007/s002110100340