论文标题
基于$ H（\ Mathbf {curl}）$的非重叠域分解方法的SmoOther $：数值研究
Smoothers Based on Nonoverlapping Domain Decomposition Methods for $H(\mathbf{curl})$ Problems: A Numerical Study
论文作者
论文摘要
本文介绍了一项关于$ v $循环类型的多族算法的数值研究，用于在三个维度中$ h（\ mathbf {curl}）$中提出的问题。该多机方法的设计用于离散问题，源于使用最低阶的六面体nédélec边缘元素的离散化。我们建议的方法与基于非重叠类型的域分解方法构建的SmoOTHOTHS相关。还提供了证明建议算法的鲁棒性和有效性的数值实验。
This paper presents a numerical study on multigrid algorithms of $V$-cycle type for problems posed in the Hilbert space $H(\mathbf{curl})$ 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.
