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.
Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring / Antonietti, P. F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M.. - In: CALCOLO. - ISSN 0008-0624. - ELETTRONICO. - 52:3(2015), pp. 289-316. [10.1007/s10092-014-0117-9]
Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring.
AYUSO DE DIOS, BLANCA PILAR;
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
