Smoothers Based on Nonoverlapping Domain Decomposition Methods for $H(\mathbf{curl})$ Problems: A Numerical Study
Numerical Analysis
2022-09-07 v1 Numerical Analysis
Abstract
This paper presents a numerical study on multigrid algorithms of -cycle type for problems posed in the Hilbert space in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral N\'{e}d\'{e}lec 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.
Cite
@article{arxiv.2209.01588,
title = {Smoothers Based on Nonoverlapping Domain Decomposition Methods for $H(\mathbf{curl})$ Problems: A Numerical Study},
author = {Duk-Soon Oh},
journal= {arXiv preprint arXiv:2209.01588},
year = {2022}
}