1. A Numerical Implementation of a Modified. Form of the Electric Field Integral Equation.
- Author
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Adams, Robert J. and Champagne, Nathan J.
- Subjects
- *
GALERKIN methods , *NUMERICAL analysis , *INTEGRAL equations , *MATRICES (Mathematics) , *ELECTRIC fields , *ELECTROMAGNETIC fields - Abstract
The details of a Galerkin discretization scheme for a modified form of the electric field integral equation are outlined for smooth, three-dimensional, perfectly conducting scatterers. Limitations of the divergence conforming finite-element bases in pit- serving the self-stabilizing properties of the electric field integral equation operator are indicated. A numerically efficient alternative is outlined which relies on an operator-based Helmholtz decomposition. The condition number of the resulting matrix equation is demonstrated to be frequency independent for scattering from a perfectly conducting sphere at various frequencies. [ABSTRACT FROM AUTHOR]
- Published
- 2004
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