Multigrid methods for 3D H(𝐜𝐮𝐫𝐥) problems with nonoverlapping domain decomposition smoothers

05/12/2022

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by   Duk-Soon Oh, et al.

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We propose V–cycle multigrid methods for vector field problems arising from the lowest order hexahedral Nédélec 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.