Discretization error due to the identity operator in surface integral equations

Date
2009-05-03
Advisor
Instructor
Source Title
Computer Physics Communications
Print ISSN
0010-4655
Electronic ISSN
Publisher
ELSEVIER
Volume
180
Issue
10
Pages
1746 - 1752
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

We consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving well-tested identity operators are preferable for efficiency, because they produce diagonally-dominant matrix equations that can be solved easily with iterative methods. However, the existence of the well-tested identity operators leads to inaccurate results, especially when the equations are discretized with low-order basis functions, such as the Rao-Wilton-Glisson functions. By performing a computational experiment based on the nonradiating property of the tangential incident fields on arbitrary surfaces, we show that the discretization error of the identity operator is a major error source that contaminates the accuracy of the second-kind integral equations significantly.

Course
Other identifiers
Book Title
Keywords
Accuracy analysis, First-kind integral equations, Identity operator, Low-order basis functions, Second-kind integral equations, Surface integral equations
Citation
Published Version (Please cite this version)