Substructuring Preconditioners for an h-p Nitsche-type method
Numerical Analysis
2013-01-16 v1
Abstract
We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in [Bramble, Pasciack, 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.
Keywords
Cite
@article{arxiv.1301.3175,
title = {Substructuring Preconditioners for an h-p Nitsche-type method},
author = {P. F. Antonietti and B. Ayuso de Dios and S. Bertoluzza and M. Penacchio},
journal= {arXiv preprint arXiv:1301.3175},
year = {2013}
}
Comments
39 pages, 2 figures, 5 tables