Doctoral Dissertations


On improving the low-frequency performance of full-wave modeling techniques


Haixin Ke

Keywords and Phrases

Electric field integral equation (EFIE)


"The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination"--Abstract, page iv.


Hubing, Todd H.

Committee Member(s)

DuBroff, Richard E.
Van Doren, Thomas, 1940-
Hale, Barbara N.
Drewniak, James L.


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


University of Missouri--Rolla

Publication Date

Summer 2006

Journal article titles appearing in thesis/dissertation

  • Modified LU recombination method to improve the performance of boundary element methods at low frequencies
  • Calculating static field and charge distributions using a full-wave boundary element method
  • Low-frequency full-wave finite element modeling using the LU recombination method


ix, 76 pages

Note about bibliography

Includes bibliographical references.


© 2006 Haixin Ke, All rights reserved.

Document Type

Dissertation - Citation

File Type




Subject Headings

Electromagnetism -- Mathematical models
Finite element method
Moments method (Statistics)

Thesis Number

T 9014

Print OCLC #


Link to Catalog Record

Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.

This document is currently not available here.

Share My Dissertation If you are the author of this work and would like to grant permission to make it openly accessible to all, please click the button above.