Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(𝐜𝐮𝐫𝐥) Problems: A Numerical Study

09/04/2022

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by   Duk-Soon Oh, et al.

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This paper presents a numerical study on multigrid algorithms of V-cycle type for problems posed in the Hilbert space H(𝐜𝐮𝐫𝐥) in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral Nédélec 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.