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

2022/09/04 by Duk‐Soon Oh, Oh, Duk-Soon
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2209.01588

openalex publication_date 2022/09/04 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

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.

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