Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson problem.
@article{arxiv.1212.2645,
title = {A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method},
author = {Andrew T. Barker and Susanne C. Brenner and Eun-Hee Park and Li-Yeng Sung},
journal= {arXiv preprint arXiv:1212.2645},
year = {2012}
}