Development and Application of the Feti-Dpem Algorithm for Analysis of Three-Dimensional Large-Scale Electromagnetic Problems

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.).

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Li, Yujia

Contributors dc:contributor

• Jin, Jianming

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3363018

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/81126