Substructuring Preconditioners for an h-p Nitsche-type method

2013/01/14 by Antonietti, P. F., de Dios, B. Ayuso, Bertoluzza, S. +1
#65F08 #65F10 #65N30 #65N55 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1301.3175

Abstract

We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in [Bramble, Pasciack, Schatz (Math Comp. 1986)] for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments asses the performance of the preconditioner and verify the theory.

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