## Özet

A new strong mathematically rigorous and numerically efficient method for solving the boundary value problem of scalar wave diffraction by a system of infinitely thin circular ring shaped screens is proposed. The method is based on the combination of the orthogonal polynomials approach and on the ideas of the methods of analytical regularisation. The solution is generalisation of the investigation done for one ring. As a result of the suggested regularisation procedure, the initial boundary value problem was equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e. to an equation of the type (I+H)x=b, x, b∈l_{2} in the space l_{2} of square summable sequences. This equation can be solved numerically by means of a truncation method with, in principle, any required accuracy.

Orijinal dil | İngilizce |
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Ana bilgisayar yayını başlığı | Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 |

Yayınlayan | IEEE Computer Society |

Sayfalar | 39-41 |

Sayfa sayısı | 3 |

ISBN (Elektronik) | 9660206216 |

DOI'lar | |

Yayın durumu | Yayınlandı - 1998 |

Harici olarak yayınlandı | Evet |

Etkinlik | 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 - Tbilisi, Georgia Süre: 2 Kas 1998 → 5 Kas 1998 |

### Yayın serisi

Adı | Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED |
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ISSN (Basılı) | 2165-3585 |

ISSN (Elektronik) | 2165-3593 |

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???event.eventtypes.event.conference??? | 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 |
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Ülke/Bölge | Georgia |

Şehir | Tbilisi |

Periyot | 2/11/98 → 5/11/98 |

### Bibliyografik not

Publisher Copyright:© 1998 Inst. For Appl. Prob. of Mech and Math. of NASU.