Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(๐๐ฎ๐ซ๐ฅ) Problems: A Numerical Study
This paper presents a numerical study on multigrid algorithms of V-cycle type for problems posed in the Hilbert space H(๐๐ฎ๐ซ๐ฅ) in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral Nรฉdรฉlec edge element of the lowest-order. Our suggested methods are associated with smoothers constructed by substructuring based on domain decomposition methods of nonoverlapping type. Numerical experiments to demonstrate the robustness and the effectiveness of the suggested algorithms are also provided.
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