T. Kolev, P. Vassilevski
tlooto Summary
An extensive set of numerical experiments demonstrate the scalability of the implementation of the most promising auxiliary space based preconditioners derived from the recent Hiptmair-Xu auxiliary space decomposition on large-scale H(curl) problems.
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.
Citation format
KOLEV, T.; VASSILEVSKI, P. PARALLEL AUXILIARY SPACE AMG FOR h(curl) PROBLEMS. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 27: 604–623.