Abstract
In computational electromagnetics, the second-kind Fredholm integral equations are known to have very fast iterative convergence but rather poor solution accuracy compared with the first-kind Fredholm integral equations. The error source of the second-kind integral equations can mainly be attributed to the discretization error of the identity operators. In this paper, a scheme is presented to significantly suppress such discretization error by using the Buffa-Christiansen functions as the testing function, leading to much more accurate solutions of the second-kind integral equations, while maintaining their fast convergence properties. Numerical experiments are designed to investigate and demonstrate the accuracy improvement of the second-kind surface integral equations in both perfect electric conductor and dielectric cases by using the presented discretization scheme.
Original language | English (US) |
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Article number | 5704188 |
Pages (from-to) | 1299-1310 |
Number of pages | 12 |
Journal | IEEE Transactions on Antennas and Propagation |
Volume | 59 |
Issue number | 4 |
DOIs | |
State | Published - Apr 1 2011 |
Keywords
- Accuracy analysis
- Buffa-Christiansen functions
- N-Müller integral equations
- Rayleigh-Ritz scheme
- identity operator
- magnetic-field integral equation
- second-kind integral equations
ASJC Scopus subject areas
- Electrical and Electronic Engineering