TY  - 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 . .

TY  - JOUR
AU  - Ilić, Milan M.
AU  - Đorđević, Miroslav
AU  - Ilić, Anđelija Z.
AU  - Notaros, Branislav M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3696
AB  - A novel higher order large-domain hybrid computational electromagnetic technique based on the finite element method (FEM) and method of moments (MoM) is proposed for three-dimensional analysis of antennas and scatterers in the frequency domain. The geometry of the structure is modeled using generalized curved parametric hexahedral and quadrilateral elements of arbitrary geometrical orders. The fields and currents on elements are modeled using curl- and divergence-conforming hierarchical polynomial vector basis functions of arbitrary approximation orders, and the Galerkin method is used for testing. The elements can be as large as about two wavelengths in each dimension. As multiple MoM objects are possible in a global exterior region, the MoM part provides much greater modeling versatility and potential for applications, especially in antenna problems, than just as a boundary-integral closure to the FEM part. The examples demonstrate excellent accuracy, convergence, efficiency, and versatility of the new FEM-MoM technique, and very effective large-domain meshes that consist of a very small number of large flat and curved FEM and MoM elements, with p-refined field and current distributions of high approximation orders. The reduction in the number of unknowns is by two orders of magnitude when compared to available data for low-order FEM-MoM modeling.
T2  - IEEE Transactions on Antennas and Propagation
T1  - Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers
VL  - 57
IS  - 5
SP  - 1452
EP  - 1460
DO  - 10.1109/TAP.2009.2016725
ER  - 

@article{
author = "Ilić, Milan M. and Đorđević, Miroslav and Ilić, Anđelija Z. and Notaros, Branislav M.",
year = "2009",
abstract = "A novel higher order large-domain hybrid computational electromagnetic technique based on the finite element method (FEM) and method of moments (MoM) is proposed for three-dimensional analysis of antennas and scatterers in the frequency domain. The geometry of the structure is modeled using generalized curved parametric hexahedral and quadrilateral elements of arbitrary geometrical orders. The fields and currents on elements are modeled using curl- and divergence-conforming hierarchical polynomial vector basis functions of arbitrary approximation orders, and the Galerkin method is used for testing. The elements can be as large as about two wavelengths in each dimension. As multiple MoM objects are possible in a global exterior region, the MoM part provides much greater modeling versatility and potential for applications, especially in antenna problems, than just as a boundary-integral closure to the FEM part. The examples demonstrate excellent accuracy, convergence, efficiency, and versatility of the new FEM-MoM technique, and very effective large-domain meshes that consist of a very small number of large flat and curved FEM and MoM elements, with p-refined field and current distributions of high approximation orders. The reduction in the number of unknowns is by two orders of magnitude when compared to available data for low-order FEM-MoM modeling.",
journal = "IEEE Transactions on Antennas and Propagation",
title = "Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers",
volume = "57",
number = "5",
pages = "1452-1460",
doi = "10.1109/TAP.2009.2016725"
}

Ilić, M. M., Đorđević, M., Ilić, A. Z.,& Notaros, B. M.. (2009). Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers. in IEEE Transactions on Antennas and Propagation, 57(5), 1452-1460.
https://doi.org/10.1109/TAP.2009.2016725

Ilić MM, Đorđević M, Ilić AZ, Notaros BM. Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers. in IEEE Transactions on Antennas and Propagation. 2009;57(5):1452-1460.
doi:10.1109/TAP.2009.2016725 .

Ilić, Milan M., Đorđević, Miroslav, Ilić, Anđelija Z., Notaros, Branislav M., "Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers" in IEEE Transactions on Antennas and Propagation, 57, no. 5 (2009):1452-1460,
https://doi.org/10.1109/TAP.2009.2016725 . .