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.
Antonietti, P., Ayuso De Dios, B., Bertoluzza, S., Pennacchio, M. (2015). Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring. CALCOLO, 52(3), 289-316 [10.1007/s10092-014-0117-9].
Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring
Ayuso De Dios, B;
2015
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.
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