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\iteman{io-port 05732348}
\itemau{Kolev, Tzanio V.; Vassilevski, Panayot S.}
\itemti{Parallel auxiliary space AMG for $\boldsymbol{H}$ (curl) problems.}
\itemso{J. Comput. Math. 27, No. 5, 604-623 (2009).}
\itemab
Summary: We review a number of auxiliary space based preconditioners for second order definite and semi-definite Maxwell problems discretized with the lowest order N\'{e}d\'{e}lec finite elements. We discuss the parallel implementation of the most promising of these methods, the ones derived from the recent auxiliary space decomposition by {\it R. Hiptmair} and {\it J. Xu} [SIAM J. Numer. Anal., 45, No.~6, 2483--2509 (2007; Zbl 1153.78006)]. An extensive set of numerical experiments demonstrate the scalability of our implementation on large-scale $\boldsymbol{H}$ (curl) problems.
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\itemcc{}
\itemut{parallel algebraic multigrid; $\boldsymbol{H}$ (curl) problems; edge elements; auxiliary space preconditioning}
\itemli{doi:10.4208/jcm.2009.27.5.013}
\end