Walter Scott, Jr. College of Engineering

Graduate Exam Abstract

Cam Key
Ph.D. Preliminary
Mar 11, 2020, 10:00 am - 12:00 pm
Engr B4
Improvements in Computational Electromagnetics Solver Efficiency: Theoretical and Data-driven Approaches to Accelerate Full-wave and Ray-based Methods
Abstract: Simulation plays an ever-increasing role in modern electrical engineering design. However, the computational electromagnetics solvers on which these simulations rely are often inefficient. For simulations requiring high accuracy, full-wave techniques like finite element method and method of moments dominate, yet existing practices for these techniques frequently allocate degrees of freedom sub-optimally, yielding longer solve times than necessary for a given accuracy. For larger-scale simulations, frequency-asymptotic methods like shooting-bouncing ray tracing dominate, yet existing algorithms suffer from incomplete parallelizability and are consequently unable to take full advantage of modern massively-parallel compute resources. We present several approaches, both theoretical and empirical, to address these efficiency problems.
Adviser: Branislav Notaros
Co-Adviser: NA
Non-ECE Member: Donald Estep, Statistics
Member 3: Ali Pezeshki
Addional Members: Milan Ilic
Publications:
Journal Publications:
• C. Key and B. Notaroš, “Data-Enabled Advancement of Computation in Engineering: A Robust Machine Learning Approach to Accelerating Variational Methods in Electromagnetics and Other Disciplines,” IEEE Antennas and Wireless Propagation Letters, in print.
• C. Key, B. Troksa, S. Kasdorf, and B. Notaros, “Non-Self-Adjacent Ray Classes for Parallelizable Shooting Bouncing Ray Tracing Double Count Removal,” IEEE Journal on Multiscale and Multiphysics Computational Techniques, in review.
• C. Key, A. Smull, D. Estep, T. Butler, and B. Notaroš, “A Posteriori Error Estimation and Adaptive Discretization Refinement Using Adjoint Methods in CEM: A Study with a One-Dimensional Higher-Order FEM Scattering Example,” IEEE Transactions on Antennas and Propagations, in print.
• C. Key, A. Smull, B. M. Notaroš, D. Estep, and T. Butler, “Adjoint Methods for Uncertainty Quantification in Applied Computational Electromagnetics: FEM Scattering Examples,” Applied Computational Electromagnetics Society Journal, Vol. 34, No. 2, 2019.
• C. Key, J. Harmon, B. Notaroš, “Discrete Surface Ricci Flow for General Surface Meshing in Computational Electromagnetics Using Iterative Adaptive Refinement,” IEEE Transactions on Antennas and Propagations, in review.
• B. A. Troksa, C. L. Key, F. B. Kunkel, S. V. Savić, M. M. Ilic, B. M. Notaroš, “Ray Tracing Using Shooting-Bouncing Technique to Model Mine Tunnels: Theory and Verification for a PEC Waveguide,” Applied Computational Electromagnetics Society Journal, Vol. 34, No. 2, 2019.
• S. Kasdorf, B. Troksa, C. Key, J. Harmon, and B. Notaroš, “Advancing Accuracy of Shooting and Bouncing Rays Method for Ray-Tracing Propagation Modeling on Novel Approaches to Ray Cone Angle Calculation,” IEEE Transactions on Antennas and Propagation, in review.
• J. Harmon, C. Key, D. Estep, T. Butler, and B. Notaros, “Adjoint-based Adaptive Refinement and Sensitivity Analysis of Uncertain Parameters in 3D Finite Element Method Scattering Problems,” IEEE Transactions on Antennas and Propagation, in prep.

Peer-Reviewed Conference Papers and Abstracts:
• • C. Key, J. Harmon, B. Troksa, and B. M. Notaroš, “Fast Sphere Intersection Tests for Shooting-Bouncing Ray Tracing: Space Partitioning and Ray Path Voxelization,” Proc. 2019 USNC-URSI National Radio Science Meeting, January 9-12, 2019, Boulder, Colorado
• C. Key, J. Harmon, B. Troksa, and B. M. Notaroš, “Adjoint-based A Posteriori Error Estimation and its Applications in CEM: DHO Techniques and the 3D Scattering Problem,” Proc. 2019 USNC-URSI National Radio Science Meeting, January 9-12, 2019, Boulder, Colorado
• C. Key, J. Harmon, B. Troksa, and B. M. Notaroš, “Applications of Shooting-Bouncing Ray Tracing to Modeling Propagation in Underground Mines,” Proc. 2019 USNC-URSI National Radio Science Meeting, January 9-12, 2019, Boulder, Colorado
• C. Key, A. Smull, B. M. Notaroš, D. Estep, and T. Butler, “Adjoint Methods for Uncertainty Quantification in Applied Computational Electromagnetics: FEM Scattering Examples,” Proceedings of the 2018 International Applied Computational Electromagnetics Society (ACES) Symposium – ACES2018, March 25–29, 2018, Denver, Colorado, USA.
• B. Troksa, C. Key, F. Kunkel, S. V. Savić, M. M. Ilic, and B. M. Notaroš, “Ray Tracing Using Shooting-Bouncing Technique to Model Mine Tunnels: Theory and Verification for a PEC Waveguide,” Proceedings of the 2018 International Applied Computational Electromagnetics Society (ACES) Symposium – ACES2018, March 25–29, 2018, Denver, Colorado, USA.
• C. Key, B. Troksa, S. Savić, M. M. Ilic, and B. M. Notaroš, “EM Simulation and Characterization of Underground Mines Using Ray Tracing, Vector Parabolic Equation, and Hybrid Approaches,” Proc. 2018 USNC-URSI National Radio Science Meeting, January 4-7, 2018, Boulder, Colorado.
• J. Harmon, C. Key, B. M. Notaroš, D. Estep, and T. Butler, “Adjoint-Based Uncertainty Quantification in Frequency-Domain Double Higher-Order FEM,” Proceedings of the 2019 International Applied Computational Electromagnetics Society (ACES) Symposium – ACES2019, April 14–18, 2019, Miami, Florida, USA
• J. Harmon, C. Key, B. M. Notaroš, “Geometrically Conformal Quadrilateral Surface-Reconstruction for MoM-SIE Simulations,” Proceedings of the 2019 International Applied Computational Electromagnetics Society (ACES) Symposium – ACES2019, April 14–18, 2019, Miami, Florida, USA

Program of Study:
CIVE607
ECE540
MATH633
ENGR550
MATH510
MATH560
MATH580b5
ECE551