The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering problems, and electromagnetic transmission eigenvalue problems. In this paper, we propose a hybridizable discontinuous Galerkin method to solve the quad-curl problem, and perform the analysis with a relatively low regularity assumption. The efficiency and accuracy of the proposed method are illustrated through numerical experiments.

中文翻译：

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四卷曲问题的可混合不连续Galerkin方法

四曲线问题出现在磁流体动力学，反电磁散射问题和电磁传输特征值问题中。在本文中，我们提出了一种可混合的不连续Galerkin方法来解决四卷曲问题，并以相对较低的正则性假设进行分析。通过数值实验说明了该方法的有效性和准确性。