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Stable, efficient, and accurate marching schemes for solving time domain integral equations By Prof. Hakan Bagci (KAUST)

  • Class schedule:  Thursday Nov. 27th, 2014, 12:00pm - 13:00pm 
  • Location: Building 9, Room 2322​
  • Refreshments:  Pizza and soft drinks will be available at 11:45 am

Abstract
Time domain integral equation (TDIE) solvers have several advantages over finite difference time domain and finite element schemes in analyzing electromagnetic scattering since (i) they call for discretization of only volume/surface of the scatterer, (ii) they implicitly enforce the radiation condition at infinity without the need for artificial absorbing boundary layers, and (iii) their time step is not necessarily bounded by the size of spatial discretization elements. On the other hand, their practical use has been plagued by their high computational cost and the instability issues associated with their time marching-based solution. In this presentation, I will talk about TDIE solvers that have been formulated and implemented in my research group at KAUST to address these two challenges. More specifically, I will describe (i) an explicit marching-on-in-time (MOT) scheme for solving the TDIEs, which avoids inversion of dense matrices for increased efficiency and (ii) an MOT-TDIE solver for simulating high-contrast scatterers, which makes use of a carefully designed extrapolation scheme for increased stability. I will also present numerical results, which demonstrate that these methods indeed provide accurate and stable results with increased efficiency. 

Biography 
Hakan Bagci is an Assistant Professor in the Division of Computer, Electrical, and Mathematical Sciences and Engineering. Previously, from 2007 to 2009, he worked as a Research Fellow at the Radiation Laboratory, University of Michigan, Ann Arbor, US. He earned his master’s and doctoral degrees in Electrical and Computer Engineering from the University of Illinois, Urbana-Champaign, USA, in 2003 and 2007, respectively. He received his bachelor’s degree in Electrical and Electronics Engineering from the Bilkent University, Ankara, Turkey in 2001. His research interests are in the field of theoretical and applied computational electromagnetics. He focuses on developing acceleration engines, preconditioning techniques, and hybridization methods, which render time and frequency domain integral equation solvers applicable to the analysis of electrically large and multi-scale real-world problems. Hakan Bagci is the recipient of the 2008 International Union of Radio Scientists (URSI) Young Scientist Award and the 2004–2005 Interdisciplinary Graduate Fellowship from the Computational Science and Engineering Department at the University of Illinois, Urbana-Champaign. His paper titled “Fast and rigorous analysis of EMC/EMI phenomena on electrically large and complex structures loaded with coaxial cables” was one of the three finalists (with honorable mention) for the 2008 Richard B. Schulz Best Transactions Paper Award given by the IEEE Electromagnetic Compatibility Society. He authored and co-authored five finalist papers in the student paper competitions at the 2005, 2008, and 2010 IEEE Antennas and Propagation Society International Symposiums and 2013 Applied Computational Electromagnetics Society Conference. He has been recently elevated to the grade of IEEE Senior member.