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|Title:||The Performance of Preconditioned Iterative Methods in Computational Electromagnetics|
|Author(s):||Smith, Charles Frederick|
|Department / Program:||Electrical Engineering|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Subject(s):||Engineering, Electronics and Electrical|
|Abstract:||The numerical solution of electromagnetic scattering problems involves the projection of an exact equation onto a finite-dimensional space, and the solution of the resulting matrix equation. By using iterative algorithms, the analysis of scatterers that are an order of magnitude larger electrically may be feasible.
Two approaches to achieving the solutions in less time are examined and applied to several typical electromagnetic scattering problems.
First, through extensions to the conjugate gradient and biconjugate gradient algorithms, multiple excitations for the same matrix can be simultaneously treated. Depending on the type of problem, the number of excitations, and the algorithm employed, substantial time savings may be achieved.
Second, the performance of preconditioning combined with the conjugate gradient, biconjugate gradient, and Chebyshev algorithms is evaluated for typical electromagnetic scattering problems. Preconditioners based on significant structural features of the matrix are able to reduce the overall execution time.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.
|Date Available in IDEALS:||2014-12-15|
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Dissertations and Theses - Electrical and Computer Engineering
Dissertations and Theses in Electrical and Computer Engineering
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois