Published January 1, 2021
| Version v1
Conference paper
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Electrostatic Problem for Toroid Surfaces: Analytical Regularization
Creators
- 1. Gebze Tech Univ, Dept Elect Engn, Gebze, Turkey
- 2. TUBITAK MRC, ME, MILTAL, Gebze, Turkey
- 3. NAS Ukraine, Inst Radiophys & Elect, Kharkov, Ukraine
Description
The electrostatic problem described by the Laplace equation with Dirichlet boundary condition was rigorously and efficiently solved for closed and open arbitrarily shaped isolated toroid surface of revolution. Application of Orthogonal Polynomial Method and Analytical Regularization Method allowed the problem to be reduced to a well-conditioned infinite system of linear algebraic equations of the second kind. It possesses robust numerical solution with, in principle, any desired accuracy.
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