13,005 research outputs found
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
for the computation of the eigenvalues. To the author's knowledge, it is the
first numerical treatment for the quad-curl eigenvalue problem. Under suitable
assumptions on the domain and mesh, we prove the optimal convergence. In
addition, we show that the divergence-free condition can be bypassed. Numerical
results are provided to show the viability of the method
Supporting calculation for the paper : Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogenous media
The first eigenvalue of a one-dimensional transmission problem is calculated. The eigenvalue problem originates from the analysis of electromagnetic fields near an interior edge in a heterogeneous medium
- …