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Graduate Exam Abstract


Ana Manic

Ph.D. Preliminary

December 11, 2013, 10:30 AM - 12:30 PM

Dean''s Conf Room, Engr. B214

Hybridization of Finite Element and Moment Methods Accelerated by Diakoptic Domain Decomposition and Parallelization for Distributed Memory Systems


Abstract: The principal objective of this dissertation is to develop and test a robust method based on the hybridization of the finite element method and the method of moments for electromagnetic analysis of inhomogeneous anisotropic dielectric and magnetic scatterers and antennas in the frequency domain. Hybridization of methods includes an implementation of the so-called Robin boundary condition that brings additional stability of the solution and nullifies undesired behavior due to numerical resonances. Integration procedures based on coordinate transformations are developed for various classes of singular and near-singular integrals occurring in the analysis. Further, numerical computation is accelerated by applying diakoptic domain decomposition approach to divide the original problem of interest into smaller subsystems, analyze subsystems independently, and then connect them back together through the surface equivalence theorem. Finally, parallelization based on message passing interface is implemented to accommodate application of the method to analysis of large and computationally expensive electromagnetic problems.

Adviser: Dr. Branislav Notaros
Co-Adviser: N/A
Non-ECE Member: Dr. Iuliana Oprea, Math Dept.
Member 3: Dr. Steven Reising, ECE Dept.
Addional Members: Dr. V Chandrasekar, ECE Dept.

Publications:
JOURNAL PAPERS 1) S. V. Savic, A. B. Manic, M. M. Ilic, and B. M. Notaros, "Efficient Higher Order Full-Wave Numerical Analysis of 3-D Cloaking Structures," Plasmonics, 2012 (published online: 8 July, 2012), 10.1007/s11468-012-9410-0. 2) A. B. Manic, S. B. Manic, M. M. Ilic, and B. M. Notaros, "Large Anisotropic Inhomogeneous Higher Order Hierarchical Generalized Hexahedral Finite Elements for 3-D Electromagnetic Modeling of Scattering and Waveguide Structures," Microwave and Optical Technology Letters, Vol. 54, No. 7, July 2012, pp. 1644-1649. 3) A. B. Manic, M. Djordjevic, and B. M. Notaros, "Five Methods for Evaluation of Singular Potential Integrals over Curved Quadrilaterals with Higher Order Basis Functions in SIE Analysis of Antennas and Scatterers," IEEE Transactions on Antennas and Propagation, revised paper, under review. 4) A. B. Manic, D. I. Olcan, M. M. Ilic, and B. M. Notaros, "Higher Order FEM-MoM-Diakoptic Method for Analysis of Inhomogeneous Anisotropic Dielectric and Magnetic Scatterers," Electromagnetics, Special Issue on Finite Element for Microwave Engineering, accepted. PEER-REVIEWED CONFERENCE PAPERS AND ABSTRACTS 1) A. B. Manic, M. Djordjevic, E. Smith, and B. M. Notaros, "Numerical Computation of Singular Integrals in Higher Order Method of Moments Using Curved Quadrilateral Patches," Proc. 2013 USNC-URSI National Radio Science Meeting, January 9-12, 2013, Boulder, Colorado. 2) A. B. Manic, M. M. Ilic, and B. M. Notaros, "Symmetric Coupling of Finite Element Method and Method of Moments Using Higher Order Elements," 2012 IEEE Antennas and Propagation Society International Symposium Digest, July 8-14, 2012, Chicago, Illinois. 3) A. B. Manic, D. I. Olcan, M. M. Ilic, and B. M. Notaros, "FEM-MoM-Diakoptic Analysis of Scatterers with Anisotropic Inhomogeneities Using Hierarchical Vector Bases on Large Curved Elements," invited paper, Special Session "Advances in Vector Bases for CEM," 11th International Workshop on Finite Elements for Microwave Engineering - FEM2012, June 4-6, 2012, Estes Park, Colorado. 4) A. B. Manic, M. M. Ilic, and B. M. Notaros, "Symmetric and Nonsymmetric FEM-MoM Techniques Using Higher Order Hierarchical Vector Basis Functions and Curved Parametric Elements," invited paper, Special Session "Advances in Hybrid Methods and Multiphysics Problems," 11th International Workshop on Finite Elements for Microwave Engineering -FEM2012, June 4-6, 2012, Estes Park, Colorado. 5) A. B. Manic, S. B. Manic, S. V. Savic, M. M. Ilic, and B. M. Notaros, "Efficient Electromagnetic Analysis Using Electrically Large Curved p-Refined Hierarchical Anisotropic Inhomogeneous Finite Elements," Proc. 2012 USNC-URSI National Radio Science Meeting, January 4-7, 2012, Boulder, Colorado. 6) A. B. Manic, D. I. Olcan, M. M. Ilic, and B. M. Notaros, "Diakoptic FEM-MoM Analysis Using Explicit Connection between Field and Current Bases," 2013 IEEE Antennas and Propagation Society International Symposium Digest, July 7-12, 2013, Lake Buena Vista, Florida. 7) E. Chobanyan, N. J. Sekeljic, A. B. Manic, M. M. Ilic, and B. M. Notaros, "Atmospheric Particle Scattering Computation Using Higher Order MoM-SIE Method," 2013 IEEE Antennas and Propagation Society International Symposium Digest, July 7-12, 2013, Lake Buena Vista, Florida. 8) N. J. Sekeljic, A. B. Manic, M. M. Ilic, and B. M. Notaros, "Transient Analysis of 3D Waveguides Using Double-Higher Time-Domain Finite Element Method," 2013 IEEE Antennas and Propagation Society International Symposium Digest, July 7-12, 2013, Lake Buena Vista, Florida.


Program of Study:
ECE 540
ECE 641
ECE 642
ECE 540
ECE 548
ECE 742
MATH 550
MATH 652