@Article{JCM-27-5, author = {}, 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 = {

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 $\boldsymbol{H}$(curl) problems.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.27.5.013}, url = {https://global-sci.com/article/84888/parallel-auxiliary-space-amg-for-boldsymbolhcurl-problems} }