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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 9, Pages 1652–1658 (Mi zvmmf4757)

This article is cited in 1 paper

Partial radiation conditions and hypersingular integral operators

A. L. Delitsyn

Faculty of Physics, Moscow State University, Moscow, 119991, Russia

Abstract: The structure of the partial radiation conditions is analyzed. It is found that the principal part of the operator defining these conditions defines a hypersingular operator. The series corresponding to the operator associated with the boundary conditions is transformed to a rapidly converging series.

Key words: diffraction problem from a bounded body, numerical methods, partial radiation conditions, hypersingular operators, Maxwell equations.

UDC: 519.634

Received: 16.02.2009


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:9, 1576–1582

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