Graduate Exam Abstract
Sanja ManicPh.D. Preliminary
April 24, 2018, 1:00 pm - 3:00 pm
ECE Conference Room C101B
Electromagnetic model decomposition and iterative solvers applied to surface and volume double higher order numerical methods
Abstract: Higher order methods have been established in the numerical analysis of electromagnetic structures decreasing the number of unknowns compared to the low order discretization. In order to decrease memory requirements even further, model decomposition in the computational analysis of electrically large structures has been used. The technique is based on element grouping and is often implemented in conjunction with iterative solvers. This proposal addresses unique theoretical and implementation details specific to model decomposition of the structures discretized by the double higher order analyzed by i) Finite Element Method – Mode Matching technique for closed-region (waveguide) structures and ii) Surface Integral Equation Method of Moments (SIE-MoM) in combination with (Multi-Level) Fast Multipole Method for open-region bodies. To increase accuracy of the SIE-MoM computation, novel method for numerical evaluation of the 2-D surface integrals in MoM matrix entries has been developed. To demonstrate its efficiency and practicality, SIE-MoM technique was applied to analysis of the rain event containing significant percentage of the oscillating drops recorded by 2D video disdrometer. An excellent agreement with previously-obtained radar measurements has been established. The research plan layout and timeline are presented.
Adviser: Branislav Notaros
Non-ECE Member: Iuliana Oprea, Mathematics
Member 3: Steven Reising
Addional Members: Chandra Venkatachalam, Milan Ilic
 ManiÄ‡, S.B., M. Thurai, V.N. Bringi, and B.M. NotaroÅ¡, 0: Scattering Calculations for Asymmetric Rain Drops during a Line Convection Event: Comparison with Radar Measurements. J. Atmos. Oceanic Technol., 0
 ManiÄ‡, S.B., and B.M. NotaroÅ¡, 2018: Surface Integral Computation for the Higher Order Surface Integral Equation Method of Moments, In 2018 ACES Conference, Denver, CO. (2nd prize in student competition)
 Thurai, M., S. ManiÄ‡, M. SchÃ¶nhuber, V.N. Bringi, and B.M. NotaroÅ¡, 2017: Scattering Calculations at C-Band for Asymmetric Raindrops Reconstructed from 2D Video Disdrometer Measurements. J. Atmos. Oceanic Technol., 34, 765â€“776.
 Smull, A.P., A.B. ManiÄ‡, S.B. ManiÄ‡ and B.M. NotaroÅ¡, 2017: Anisotropic Locally Conformal Perfectly Matched Layer for Higher Order Curvilinear Finite-Element Modeling, IEEE Trans. Antennas Propag., 65, 7157-7165.
 NotaroÅ¡, B.M., R. McCullough, S.B. ManiÄ‡, and A.A. Maciejewski, 2017: Board# 51: WIP: Introducing MATLAB-based Instruction and Learning in the Creativity Thread of a Novel Integrated Approach to ECE Education. In 2017 ASEE Annual Conference & Exposition.
 ManiÄ‡, S.B., B.M. NotaroÅ¡, and M.M. IliÄ‡, 2014: p-Refinement for large-domain waveguide structures analyzed by FEM-MM technique, 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI), Memphis, TN, 2252-2253.
 ManiÄ‡, A.B., S.B. ManiÄ‡, M.M. IliÄ‡, and B.M. NotaroÅ¡, 2012: Large anisotropic inhomogeneous higher order hierarchical generalized hexahedral finite elements for 3-D electromagnetic modeling of scattering and waveguide structures, Microw. Opt. Technol. Lett., 54, 1644-1649.
 Klopf, E.M., S.B. ManiÄ‡, M.M. IliÄ‡, and B.M. NotaroÅ¡, 2011: Efficient time - domain analysis of waveguide discontinuities using higher order FEM in frequency domain. Progress In Electromagnetics Research, 120, 215-234.
Program of Study: