Substructuring preconditioners for an $h-p$ Nitsche-type method
Sunday 20th January 2013
Antonietti, P.F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M.
We propose and study an iterative substructuring method for an $h-p$ Nitsche-type discretization, following the original approach introduced in [Bramble, Pasciak, 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.