Abstract
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.
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Acknowledgements
Gang Chen is supported by National Natural Science Foundation of China (NSFC) under Grant No. 11801063, the Fundamental Research Funds for the Central Universities Grant No. YJ202030, and China Postdoctoral Science Foundation under Grant No. 2018M633339 and 2019T120828. Jintao Cui is supported in part by National Natural Science Foundation of China (NSFC) Grant No. 11771367 and Hong Kong RGC General Research Fund (GRF) Grant No. 15302518. Liwei Xu is supported by a Key Project of the Major Research Plan of NSFC under Grant No. 91630205 and NSFC under Grant No. 11771068, 12071060.
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Chen, G., Cui, J. & Xu, L. A Hybridizable Discontinuous Galerkin Method for the Quad-Curl Problem. J Sci Comput 87, 16 (2021). https://doi.org/10.1007/s10915-021-01420-3
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DOI: https://doi.org/10.1007/s10915-021-01420-3