Development and Application of the Feti-Dpem Algorithm for Analysis of Three-Dimensional Large-Scale Electromagnetic Problems
Li, Yujia
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https://hdl.handle.net/2142/81126
Description
Title
Development and Application of the Feti-Dpem Algorithm for Analysis of Three-Dimensional Large-Scale Electromagnetic Problems
Author(s)
Li, Yujia
Issue Date
2009
Doctoral Committee Chair(s)
Jin, Jianming
Department of Study
Electrical and Computer Engineering
Discipline
Electrical and Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
The dissertation first briefly introduces the basics of the frequency-domain (FD) FEM in electromagnetics (EM), which includes the discussion of ABCs for the open-region analysis. It is then followed by a detailed study of the FETI-DPEM1 algorithm to show its efficiency and capability. The applications of the FETI-DPEM1 are then further extended to the analysis of complex PhC devices, which provides a fast and accurate solution to the numerical analysis of 3D PhCs. The FETI-DPEM2 algorithm with an excellent numerical scalability is then presented together with the details of its parallel implementation using the message passing interface (MPI). (Abstract shortened by UMI.).
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