全频率稳定公式的迭代解及其矢量-纯势能变分的比较研究

2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI) Pub Date : 2023-07-23 DOI:10.1109/USNC-URSI52151.2023.10237615

Minyechil Mekonnen, Su Yan

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引用次数: 1

摘要

为了避免传统矢量波动方程的低频击穿突变，提出了一种全频率稳定公式，并将其应用于求解低频多尺度电磁问题。基于场的势表示，这个公式包括矢量势和标量势，以及一个辅助势来执行规范条件。在本文中，首先将这个公式简化为只涉及向量势。然后利用不完全LU预条件和迭代求解器寻求它们的迭代解。对比研究了两种公式的迭代性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Comparative Investigation of Iterative Solutions of the All-Frequency Stable Formulation and Its Vector-Potential-Only Variation

An all-frequency stable formulation has been proposed and applied to solve low-frequency and multiscale electromagnetic problems to avoid the low-frequency breakdown catastrophe of the traditional vector wave equation. Based on the potential representation of the fields, this formulation involves vector and scalar potentials, as well as an auxiliary potential to enforce the gauge condition. In this paper, such a formulation is first simplified to involve vector potential only. Their iterative solutions are then sought by using an incomplete LU preconditioner and an iterative solver. The iterative performance of both formulations are investigated in a comparative study.

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2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI)

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