Analysis of a stabilized three fields domain decomposition method
S. Bertoluzza
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 the paper Wavelet Stabilization and Preconditioning for Domain
Decomposition (by S. Bertoluzza and A. Kunoth), 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-Poincar\'e operator.
Pubbl. I.A.N. n. 1175 (2000)
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