TY - GEN
T1 - Higher-order mixed spectral element method for Maxwell eigenvalue problem
AU - Liu, Na
AU - Tang, Yifa
AU - Zhu, Xiaozhang
AU - Tobon, Luis
AU - Liu, Qinghuo
PY - 2013
Y1 - 2013
N2 - Conventional edge elements in solving vector Maxwell's equations by the finite element method will lead to the presence of spurious zero eigenvalues. Here we describes a higher order mixed spectral element method (mixed SEM) for the computation of two-dimensional TEz eigenvalue problem of Maxwell's equations. It utilizes Gauss-Lobatto-Legendre (GLL) polynomials as the basis functions in the finite-element framework with the weak divergence condition. It is shown that this method can suppress all spurious zero and nonzero modes and has spectral accuracy with analytic eigenvalues. Numerical results are given on homogeneous and doubly connected cavities to verify its merits.
AB - Conventional edge elements in solving vector Maxwell's equations by the finite element method will lead to the presence of spurious zero eigenvalues. Here we describes a higher order mixed spectral element method (mixed SEM) for the computation of two-dimensional TEz eigenvalue problem of Maxwell's equations. It utilizes Gauss-Lobatto-Legendre (GLL) polynomials as the basis functions in the finite-element framework with the weak divergence condition. It is shown that this method can suppress all spurious zero and nonzero modes and has spectral accuracy with analytic eigenvalues. Numerical results are given on homogeneous and doubly connected cavities to verify its merits.
UR - https://www.scopus.com/pages/publications/84894199239
U2 - 10.1109/APS.2013.6711482
DO - 10.1109/APS.2013.6711482
M3 - Conference contribution
AN - SCOPUS:84894199239
SN - 9781467353175
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 1646
EP - 1647
BT - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings
T2 - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013
Y2 - 7 July 2013 through 13 July 2013
ER -