Mathematical properties of the variational solution and solution of the boundary integral equation of a two-dimensional heat transfer problem are studied. It is first reviewed that a boundary integral expression is valid for the classical solution, and then it is shown that a unique solution of the
Nonsingular boundary integral equation for two-dimensional electromagnetic scattering problems
β Scribed by D. L. Young; C. L. Chiu; C. M. Fan
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 148 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-2477
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β¦ Synopsis
Abstract
This paper is concerned with the application of the nonsingular boundary integral equation (NSBIE) for 2D electromagnetic scattering problems in the frequency domain. In the proposed NSBIE, the conventional treatment of the singular integral for the boundary integral equation is circumvented by employing the Gauss flux theorem and the concept of equipotential. Then the NSBIE for the Helmholtz equation is used to predict the scattering of plane wave by a perfectly electric conducting circular cylinder of infinite length at normal incidence. Based on the good results, as compared with solutions of the analytical and boundaryβelement methods, it is verified that the NSBIE is a highly simple and efficient numerical scheme for 2D electromagnetic scattering simulations. Β© 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 760β765, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21467
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