TY - JOUR T1 - Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods JO - Communications in Computational Physics VL - 2-4 SP - 398 EP - 412 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7739.html KW - AB -

We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in [2,3] to the (non-consistent) super penalty discontinuous Galerkin methods introduced in [5] and [8]. We show that the resulting preconditioners are scalable, and we provide the convergence estimates. We also present numerical experiments confirming the sharpness of the theoretical results.