Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

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 degr...

Full description

Saved in:
Bibliographic Details
Published in:Calcolo 2015-09, Vol.52 (3), p.289-316
Main Authors: Antonietti, P. F., Ayuso de Dios, B., Bertoluzza, S., Pennacchio, M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-014-0117-9