Title

A mixed FEM for the quad-curl eigenvalue problem

Document Type

Article

Publication Date

1-1-2016

Abstract

© 2015, Springer-Verlag Berlin Heidelberg. 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.

Publication Title

Numerische Mathematik

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