Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

P. F. Antonietti, Blanca Ayuso Dios, S. Bertoluzza, M. Pennacchio

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.
Original languageEnglish (US)
Pages (from-to)289-316
Number of pages28
JournalCalcolo
Volume52
Issue number3
DOIs
StatePublished - May 13 2014

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