Abstract
The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics. In this paper, we study the quad-curl eigenvalue problem and propose a mixed method using edge elements. Assuming stringent regularity of the solution of the quad-curl source problem, we prove the convergence and show that the divergence-free condition can be bypassed.
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Acknowledgments
The research was supported in part by NSF Grant DMS-1016092. The author would like to thank Prof. Peter Monk for helpful discussions.
