Multigrid methods for 3D H(curl) problems with nonoverlapping domain decomposition smoothers
Abstract
We propose V--cycle multigrid methods for vector field problems arising from the lowest order hexahedral N\'ed\'elec finite element. Since the conventional scalar smoothing techniques do not work well for the problems, a new type of smoothing method is necessary. We introduce new smoothers based on substructuring with nonoverlapping domain decomposition methods. We provide the convergence analysis and numerical experiments that support our theory.
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