Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II - Quantitative Studies
Year: 2009
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 296–325
Abstract
This paper is concerned with preconditioners for interior penalty discontinuous Galerkin discretizations of second-order elliptic boundary value problems. We extend earlier related results in [7] in the following sense. Several concrete realizations of splitting the nonconforming trial spaces into a conforming and (remaining) nonconforming part are identified and shown to give rise to uniformly bounded condition numbers. These asymptotic results are complemented by numerical tests that shed some light on their respective quantitative behavior.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CiCP-7734
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 296–325
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30