A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods

In this article, we consider the derivation of hp-optimal spectral bounds for a class of domain decomposition preconditioners based on the Schwarz framework for discontinuous Galerkin finite element approximations of second-order elliptic partial differential equations. In particular, we improve the...

Full description

Bibliographic Details
Main Authors: Antonietti, Paola F., Houston, Paul, Smears, Iain
Format: Article
Published: Institute for Scientific Computing and Information 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/30303/