We propose and study an iterative substructuring method for an $$h$$h-$$p$$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.
Substructuring preconditioners for an {$h$}-{$p$} domain decomposition method with interior penalty mortaring
ANTONIETTI, PAOLA FRANCESCA;
2015-01-01
Abstract
We propose and study an iterative substructuring method for an $$h$$h-$$p$$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.File in questo prodotto:
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