Accurate and efficient solutions of electromagnetic problems with the multilevel fast multipole algorithm
Author(s)
Advisor
Gürel, LeventDate
2009Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
The multilevel fast multipole algorithm (MLFMA) is a powerful method for the
fast and efficient solution of electromagnetics problems discretized with large
numbers of unknowns. This method reduces the complexity of matrix-vector
multiplications required by iterative solvers and enables the solution of largescale
problems that cannot be investigated by using traditional methods. On the
other hand, efficiency and accuracy of solutions via MLFMA depend on many
parameters, such as the integral-equation formulation, discretization, iterative
solver, preconditioning, computing platform, parallelization, and many other details
of the numerical implementation. This dissertation is based on our efforts
to develop sophisticated implementations of MLFMA for the solution of real-life
scattering and radiation problems involving three-dimensional complicated objects with arbitrary geometries.
Keywords
Multilevel Fast Multipole Algorithm (MLFMA)Electromagnetic Scattering and Radiation
Surface İntegral Equations
Parallelization
İterative Algorithms.