Defense Date

7-15-2008

Graduation Date

2008

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

John Fleming

Committee Member

Carl Toews

Keywords

adaptive cross approximation algorithm (ACA), locally corrected Nystrom method, electromagnetic scattering, body of revolution (BOR)

Abstract

Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell's Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results.

Format

PDF

Language

English

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