Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers
Апстракт
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 ver...satility 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.
Кључне речи:
Antennas / curved parametric elements / electromagnetic analysis / finite element method (FEM) / higher order modeling / hybrid methods / method of moments (MoM) / numerical techniques / polynomial basis functions / scatteringИзвор:
IEEE Transactions on Antennas and Propagation, 2009, 57, 5, 1452-1460Финансирање / пројекти:
- National Science Foundation [ECCS-0647380, ECCS-0650719], Serbian Ministry of Science and Technological Development [ET-11021]
DOI: 10.1109/TAP.2009.2016725
ISSN: 0018-926X
WoS: 000265937400018
Scopus: 2-s2.0-67349238876
Колекције
Институција/група
VinčaTY - 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 . .