TY - GEN
T1 - Differential forms inspired finite element discretization for waveguide eigenvalue problems
AU - Dai, Qi I.
AU - Chew, Weng Cho
AU - Jiang, Lijun
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/9/18
Y1 - 2014/9/18
N2 - A differential forms inspired finite element based discretization scheme for waveguide eigenvalue problems is presented. Naïve discretization of the governing variational expression involving only transverse fields with edge elements renders the discretized eigen-equation unsolvable. Motivated by differential forms, in the proposed scheme, electric and magnetic fields are discretized with curl-conforming basis functions on the primal and dual grids, respectively. Meanwhile, magnetic flux density and electric displacement fields are discretized with divergence-conforming basis functions on the primal and dual grids, respectively. Matrices in the resultant eigen-equation is well-conditioned and easy to solve, which is validated by several numerical examples.
AB - A differential forms inspired finite element based discretization scheme for waveguide eigenvalue problems is presented. Naïve discretization of the governing variational expression involving only transverse fields with edge elements renders the discretized eigen-equation unsolvable. Motivated by differential forms, in the proposed scheme, electric and magnetic fields are discretized with curl-conforming basis functions on the primal and dual grids, respectively. Meanwhile, magnetic flux density and electric displacement fields are discretized with divergence-conforming basis functions on the primal and dual grids, respectively. Matrices in the resultant eigen-equation is well-conditioned and easy to solve, which is validated by several numerical examples.
UR - http://www.scopus.com/inward/record.url?scp=84907863349&partnerID=8YFLogxK
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U2 - 10.1109/APS.2014.6905448
DO - 10.1109/APS.2014.6905448
M3 - Conference contribution
AN - SCOPUS:84907863349
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 2242
EP - 2243
BT - 2014 IEEE Antennas and Propagation Society International Symposium(APSURSI)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE Antennas and Propagation Society International Symposium, APSURSI 2014
Y2 - 6 July 2014 through 11 July 2014
ER -