A mixed FEM for the quad-curl eigenvalue problem

The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics (MHD). 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 quadcurl source problem, we prove the convergence and show that the divergencefree condition can be bypassed.