@Article{JCM-27-604,
author = {Tzanio V. Kolev  and Panayot S. Vassilevski},
title = {Parallel Auxiliary Space AMG for $\boldsymbol{H}$(Curl) Problems},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {5},
pages = {604--623},
abstract = {<p style="text-align: justify;">In this paper we review a number of auxiliary space based preconditioners for the second order definite and semi-definite Maxwell problems discretized with the lowest order Nédélec finite elements. We discuss the parallel implementation of the most promising of these methods, the ones derived from the recent Hiptmair-Xu (HX) auxiliary space decomposition [Hiptmair and Xu, SIAM J. Numer. Anal., 45 (2007), pp. 2483-2509]. An extensive set of numerical experiments demonstrate the scalability of our implementation on large-scale $\boldsymbol{H}$(<strong>curl</strong>) problems.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.27.5.013},
url = {http://global-sci.org/intro/article_detail/jcm/8592.html}
}