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      • Dept. of Electrical and Electronics Engineering - Master's degree
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      •   BUIR Home
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      • Bilkent Theses
      • Theses - Department of Electrical and Electronics Engineering
      • Dept. of Electrical and Electronics Engineering - Master's degree
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      Application of biconjugate gradient stabilized method with spectral acceleration for propagation over terrain profiles

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      Author(s)
      Babaoğlu, Barış
      Advisor
      Altıntaş, Ayhan
      Date
      2003
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      Using the Method of Moments (MoM) for the computation of electromagnetic radiation / surface scattering problems is a very popular approach since obtained results are accurate and reliable. But the memory requirement in the MoM to solve discretized integral equations and the long computational time of O(N3 ) operation count (where N is the number of the surface unknowns) make the method less favorable when electrically large geometries are of interest. This limitation can be overcome by using BiConjugate Gradient Stabilized (BiCGSTAB) method, a non-stationary iterative technique that was developed to solve general asymmetric/non-Hermitian systems with an operational cost of O(N2 ) per iteration. Furthermore, the computational time can be improved by the spectral acceleration (SA) algorithm which can be applied in any iterative technique. In this thesis, Spectrally Accelerated BiCGSTAB (SA-BiCGSTAB) method is processed over systems that have huge number of unknowns resulting a computational cost and memory requirement of O(N) per iteration. Applications are presented on electrically large rough terrain profiles. The accuracy of the method is compared with MoM, conventional BiCGSTAB method and Spectrally Accelerated Forward-Backward Method (SA-FBM) where available.
      Keywords
      Electromagnetic rough surface scattering
      Spectral Acceleration
      BiConjugate Gradient Stabilized method
      Method of Moments
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      http://hdl.handle.net/11693/29420
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      • Dept. of Electrical and Electronics Engineering - Master's degree 655
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