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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1652–1658
(Mi zvmmf4757)
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This article is cited in 1 scientific paper (total 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.
Received: 16.02.2009
Citation:
A. L. Delitsyn, “Partial radiation conditions and hypersingular integral operators”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1652–1658; Comput. Math. Math. Phys., 49:9 (2009), 1576–1582
Linking options:
https://www.mathnet.ru/eng/zvmmf4757 https://www.mathnet.ru/eng/zvmmf/v49/i9/p1652
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