TY  - JOUR
AU  - Davidović, Miloš D.
AU  - Ilić, Milan M.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5876
T2  - Microwave and Optical Technology Letters
T1  - Double B-Spline Finite Elements for 3d Electromagnetic
VL  - 56
IS  - 3
SP  - 619
EP  - 624
DO  - 10.1002/mop.28178
ER  - 

@article{
author = "Davidović, Miloš D. and Ilić, Milan M.",
year = "2014",
journal = "Microwave and Optical Technology Letters",
title = "Double B-Spline Finite Elements for 3d Electromagnetic",
volume = "56",
number = "3",
pages = "619-624",
doi = "10.1002/mop.28178"
}

Davidović, M. D.,& Ilić, M. M.. (2014). Double B-Spline Finite Elements for 3d Electromagnetic. in Microwave and Optical Technology Letters, 56(3), 619-624.
https://doi.org/10.1002/mop.28178

Davidović MD, Ilić MM. Double B-Spline Finite Elements for 3d Electromagnetic. in Microwave and Optical Technology Letters. 2014;56(3):619-624.
doi:10.1002/mop.28178 .

Davidović, Miloš D., Ilić, Milan M., "Double B-Spline Finite Elements for 3d Electromagnetic" in Microwave and Optical Technology Letters, 56, no. 3 (2014):619-624,
https://doi.org/10.1002/mop.28178 . .

TY  - JOUR
AU  - Davidović, Miloš D.
AU  - Notaros, Branislav M.
AU  - Ilić, Milan M.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5094
AB  - A novel entire-domain finite element technique based on curvilinear hexahedral geometrical modeling using B-splines in conjunction with higher order hierarchical polynomial curl-conforming vector basis functions for field expansions is proposed for electromagnetic analysis of microwave devices. The effectiveness of the technique is evaluated in analysis of microwave cavities and it is compared with alternative reference solutions and with HFSS. Examples demonstrate large single-element (entire-domain) models with p-refined field distributions and better accuracy in curvature modeling than with the Lagrange interpolation. Extraordinary flexibility of the B-spline hexahedral elements, combined with higher order field expansions, allows accurate modeling of complex structures with sharp edges using a single finite element.
T2  - IEEE Microwave and Wireless Components Letters
T1  - B-Spline Entire-Domain Higher Order Finite Elements for 3-D Electromagnetic Modeling
VL  - 22
IS  - 10
SP  - 497
EP  - 499
DO  - 10.1109/LMWC.2012.2217123
ER  - 

@article{
author = "Davidović, Miloš D. and Notaros, Branislav M. and Ilić, Milan M.",
year = "2012",
abstract = "A novel entire-domain finite element technique based on curvilinear hexahedral geometrical modeling using B-splines in conjunction with higher order hierarchical polynomial curl-conforming vector basis functions for field expansions is proposed for electromagnetic analysis of microwave devices. The effectiveness of the technique is evaluated in analysis of microwave cavities and it is compared with alternative reference solutions and with HFSS. Examples demonstrate large single-element (entire-domain) models with p-refined field distributions and better accuracy in curvature modeling than with the Lagrange interpolation. Extraordinary flexibility of the B-spline hexahedral elements, combined with higher order field expansions, allows accurate modeling of complex structures with sharp edges using a single finite element.",
journal = "IEEE Microwave and Wireless Components Letters",
title = "B-Spline Entire-Domain Higher Order Finite Elements for 3-D Electromagnetic Modeling",
volume = "22",
number = "10",
pages = "497-499",
doi = "10.1109/LMWC.2012.2217123"
}

Davidović, M. D., Notaros, B. M.,& Ilić, M. M.. (2012). B-Spline Entire-Domain Higher Order Finite Elements for 3-D Electromagnetic Modeling. in IEEE Microwave and Wireless Components Letters, 22(10), 497-499.
https://doi.org/10.1109/LMWC.2012.2217123

Davidović MD, Notaros BM, Ilić MM. B-Spline Entire-Domain Higher Order Finite Elements for 3-D Electromagnetic Modeling. in IEEE Microwave and Wireless Components Letters. 2012;22(10):497-499.
doi:10.1109/LMWC.2012.2217123 .

Davidović, Miloš D., Notaros, Branislav M., Ilić, Milan M., "B-Spline Entire-Domain Higher Order Finite Elements for 3-D Electromagnetic Modeling" in IEEE Microwave and Wireless Components Letters, 22, no. 10 (2012):497-499,
https://doi.org/10.1109/LMWC.2012.2217123 . .

TY  - CONF
AU  - Savić, Slobodan V.
AU  - Ilić, Anđelija Z.
AU  - Notaros, Branislav M.
AU  - Ilić, Milan M.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6995
AB  - Parallelization of time-consuming volume integrations in the matrix filling is performed using OpenMP to provide a smooth transition of a higher order finite element method (FEM) code for electromagnetic analysis to the multi-core hardware architecture. In the process, the carefully constructed original computational scheme suited to maximally avoid the redundant computations in the higher order FEM is not affected. The results, in analysis of an electrically large dielectric scatterer, demonstrate acceleration of up to 2.28 times in a four-thread architecture.
C3  - 20th Telecommunications Forum (TELFOR)
T1  - Acceleration of Higher Order FEM Matrix Filling by OpenMP Parallelization of Volume Integrations
SP  - 1183
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6995
ER  - 

@conference{
author = "Savić, Slobodan V. and Ilić, Anđelija Z. and Notaros, Branislav M. and Ilić, Milan M.",
year = "2012",
abstract = "Parallelization of time-consuming volume integrations in the matrix filling is performed using OpenMP to provide a smooth transition of a higher order finite element method (FEM) code for electromagnetic analysis to the multi-core hardware architecture. In the process, the carefully constructed original computational scheme suited to maximally avoid the redundant computations in the higher order FEM is not affected. The results, in analysis of an electrically large dielectric scatterer, demonstrate acceleration of up to 2.28 times in a four-thread architecture.",
journal = "20th Telecommunications Forum (TELFOR)",
title = "Acceleration of Higher Order FEM Matrix Filling by OpenMP Parallelization of Volume Integrations",
pages = "1183",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6995"
}

Savić, S. V., Ilić, A. Z., Notaros, B. M.,& Ilić, M. M.. (2012). Acceleration of Higher Order FEM Matrix Filling by OpenMP Parallelization of Volume Integrations. in 20th Telecommunications Forum (TELFOR), 1183.
https://hdl.handle.net/21.15107/rcub_vinar_6995

Savić SV, Ilić AZ, Notaros BM, Ilić MM. Acceleration of Higher Order FEM Matrix Filling by OpenMP Parallelization of Volume Integrations. in 20th Telecommunications Forum (TELFOR). 2012;:1183.
https://hdl.handle.net/21.15107/rcub_vinar_6995 .

Savić, Slobodan V., Ilić, Anđelija Z., Notaros, Branislav M., Ilić, Milan M., "Acceleration of Higher Order FEM Matrix Filling by OpenMP Parallelization of Volume Integrations" in 20th Telecommunications Forum (TELFOR) (2012):1183,
https://hdl.handle.net/21.15107/rcub_vinar_6995 .

TY  - JOUR
AU  - Ilić, Milan M.
AU  - Savić, Slobodan V.
AU  - Ilić, Anđelija Z.
AU  - Notaros, Branislav M.
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4643
AB  - A constant speed parametrization (CSP) mapping of boundary surfaces is proposed for moment-method analysis of antennas and scatterers, along with its approximation using large higher-order Lagrange-type curved quadrilateral patches. The importance of the proper placement of interpolation nodes that ensures minimum mapped parametric space distortion (arc-length parametrization) is explained and demonstrated on simple examples. The CSP mapping results in on average five times lower radar cross section (RCS) error for a spherical scatterer than with the ray casting (central projection) parametrization mapping. The extension of the CSP concept to arbitrary surfaces is illustrated in modeling of the double-ogive target.
T2  - IEEE Antennas and Wireless Propagation Letters
T1  - Constant Speed Parametrization Mapping of Curved Boundary Surfaces in Higher-Order Moment-Method Electromagnetic Modeling
VL  - 10
SP  - 1457
EP  - 1460
DO  - 10.1109/LAWP.2011.2180354
ER  - 

@article{
author = "Ilić, Milan M. and Savić, Slobodan V. and Ilić, Anđelija Z. and Notaros, Branislav M.",
year = "2011",
abstract = "A constant speed parametrization (CSP) mapping of boundary surfaces is proposed for moment-method analysis of antennas and scatterers, along with its approximation using large higher-order Lagrange-type curved quadrilateral patches. The importance of the proper placement of interpolation nodes that ensures minimum mapped parametric space distortion (arc-length parametrization) is explained and demonstrated on simple examples. The CSP mapping results in on average five times lower radar cross section (RCS) error for a spherical scatterer than with the ray casting (central projection) parametrization mapping. The extension of the CSP concept to arbitrary surfaces is illustrated in modeling of the double-ogive target.",
journal = "IEEE Antennas and Wireless Propagation Letters",
title = "Constant Speed Parametrization Mapping of Curved Boundary Surfaces in Higher-Order Moment-Method Electromagnetic Modeling",
volume = "10",
pages = "1457-1460",
doi = "10.1109/LAWP.2011.2180354"
}

Ilić, M. M., Savić, S. V., Ilić, A. Z.,& Notaros, B. M.. (2011). Constant Speed Parametrization Mapping of Curved Boundary Surfaces in Higher-Order Moment-Method Electromagnetic Modeling. in IEEE Antennas and Wireless Propagation Letters, 10, 1457-1460.
https://doi.org/10.1109/LAWP.2011.2180354

Ilić MM, Savić SV, Ilić AZ, Notaros BM. Constant Speed Parametrization Mapping of Curved Boundary Surfaces in Higher-Order Moment-Method Electromagnetic Modeling. in IEEE Antennas and Wireless Propagation Letters. 2011;10:1457-1460.
doi:10.1109/LAWP.2011.2180354 .

Ilić, Milan M., Savić, Slobodan V., Ilić, Anđelija Z., Notaros, Branislav M., "Constant Speed Parametrization Mapping of Curved Boundary Surfaces in Higher-Order Moment-Method Electromagnetic Modeling" in IEEE Antennas and Wireless Propagation Letters, 10 (2011):1457-1460,
https://doi.org/10.1109/LAWP.2011.2180354 . .

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 . .