## Abstract

Based on the idea of an analytical regularisation a mathematically rigorous and numerically efficient approach is proposed to solve the potential problem for open arbitrary shaped shell of revolution with Dirichlet boundary condition. The initial integral equation is reduced to a form admitting decomposition of the integral kernel into the sum of the Green's function for a sphere, which includes all the singularities of the reformulated problem, and a smooth remainder. An effective calculation technique for the coefficients of the Fourier expansion of the remainder was obtained. Using the analytical regularisation, the problem is equivalently reduced to an infinite system of linear algebraic equations of the second kind. Such equations can be effectively and efficiently solved by standard numerical methods. The convergence improvement of the series describing the surface charge is implemented.

Original language | English |
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Title of host publication | Progress in Electromagnetics Research Symposium 2006, PIERS 2006 Tokyo |

Place of Publication | Cambridge, MA |

Publisher | Electromagnetics Academy |

Pages | 68-72 |

Number of pages | 5 |

ISBN (Print) | 9781629939513 |

Publication status | Published - 2006 |

Event | Progress in Electromagnetics Research Symposium 2006, PIERS 2006 Tokyo - Tokyo, Japan Duration: 2 Aug 2006 → 5 Aug 2006 |

### Other

Other | Progress in Electromagnetics Research Symposium 2006, PIERS 2006 Tokyo |
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Country | Japan |

City | Tokyo |

Period | 2/08/06 → 5/08/06 |