Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis
Апстракт
A novel higher order entire-domain finite element technique is presented for accurate and efficient full-wave three-dimensional (3-D) analysis of electromagnetic structures with continuously inhomogeneous material regions, using large generalized curved hierarchical curl-conforming hexahedral vector finite elements that allow continuous change of medium parameters throughout their volumes. This is the first general 3-D implementation and numerical demonstration of the inherent theoretical ability of the finite element method (FEM) to directly treat arbitrarily (continuously) inhomogeneous materials. The results demonstrate considerable reductions in both number of unknowns and computation time of the entire-domain FEM modeling of continuously inhomogeneous materials over piecewise homogeneous models. They indicate that, in addition to theoretical relevance and interest, large curved higher order continuous-FEM elements also have great potential for practical applications that include s...tructures with pronounced material inhomogeneities and complexities.
Кључне речи:
Computer-aided analysis / electromagnetic analysis / electromagnetic scattering / finite element method / higher order elements / inhomogeneous media / method of momentsИзвор:
IEEE Transactions on Antennas and Propagation, 2009, 57, 9, 2798-2803Финансирање / пројекти:
- National Science Foundation [ECCS-0647380, ECCS-0650719], Serbian Ministry of Science and Technological Development [ET-11021]
DOI: 10.1109/TAP.2009.2027350
ISSN: 0018-926X
WoS: 000269513300037
Scopus: 2-s2.0-70349255928
Колекције
Институција/група
VinčaTY - JOUR AU - Ilić, Milan M. AU - Ilić, Anđelija Z. AU - Notaros, Branislav M. PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3779 AB - A novel higher order entire-domain finite element technique is presented for accurate and efficient full-wave three-dimensional (3-D) analysis of electromagnetic structures with continuously inhomogeneous material regions, using large generalized curved hierarchical curl-conforming hexahedral vector finite elements that allow continuous change of medium parameters throughout their volumes. This is the first general 3-D implementation and numerical demonstration of the inherent theoretical ability of the finite element method (FEM) to directly treat arbitrarily (continuously) inhomogeneous materials. The results demonstrate considerable reductions in both number of unknowns and computation time of the entire-domain FEM modeling of continuously inhomogeneous materials over piecewise homogeneous models. They indicate that, in addition to theoretical relevance and interest, large curved higher order continuous-FEM elements also have great potential for practical applications that include structures with pronounced material inhomogeneities and complexities. T2 - IEEE Transactions on Antennas and Propagation T1 - Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis VL - 57 IS - 9 SP - 2798 EP - 2803 DO - 10.1109/TAP.2009.2027350 ER -
@article{ author = "Ilić, Milan M. and Ilić, Anđelija Z. and Notaros, Branislav M.", year = "2009", abstract = "A novel higher order entire-domain finite element technique is presented for accurate and efficient full-wave three-dimensional (3-D) analysis of electromagnetic structures with continuously inhomogeneous material regions, using large generalized curved hierarchical curl-conforming hexahedral vector finite elements that allow continuous change of medium parameters throughout their volumes. This is the first general 3-D implementation and numerical demonstration of the inherent theoretical ability of the finite element method (FEM) to directly treat arbitrarily (continuously) inhomogeneous materials. The results demonstrate considerable reductions in both number of unknowns and computation time of the entire-domain FEM modeling of continuously inhomogeneous materials over piecewise homogeneous models. They indicate that, in addition to theoretical relevance and interest, large curved higher order continuous-FEM elements also have great potential for practical applications that include structures with pronounced material inhomogeneities and complexities.", journal = "IEEE Transactions on Antennas and Propagation", title = "Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis", volume = "57", number = "9", pages = "2798-2803", doi = "10.1109/TAP.2009.2027350" }
Ilić, M. M., Ilić, A. Z.,& Notaros, B. M.. (2009). Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis. in IEEE Transactions on Antennas and Propagation, 57(9), 2798-2803. https://doi.org/10.1109/TAP.2009.2027350
Ilić MM, Ilić AZ, Notaros BM. Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis. in IEEE Transactions on Antennas and Propagation. 2009;57(9):2798-2803. doi:10.1109/TAP.2009.2027350 .
Ilić, Milan M., Ilić, Anđelija Z., Notaros, Branislav M., "Continuously Inhomogeneous Higher Order Finite Elements for 3-D Electromagnetic Analysis" in IEEE Transactions on Antennas and Propagation, 57, no. 9 (2009):2798-2803, https://doi.org/10.1109/TAP.2009.2027350 . .