Operator equation of diffraction on a segment of a circular cylinder
https://doi.org/10.34680/2076-8052.2023.5(134).863-870
Abstract
A new, mathematically efficient method for solving the vector equation of diffraction on an open surface of rotation is proposed. The method is based on the allocation of the main operator, the definition of functional spaces and the reduction of the operator equation to the Fredholm equation of the second kind. Sobolev spaces are used as ones that take into account the Meixner condition on the edge. In the selected spaces, the main operator is bounded and invertible; the inverse operator is also bounded. A projection method for solving operator equations has been developed.
About the Authors
S. I. Eminov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
A. V. Sochilin
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
R. V. Petrov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
M. A. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
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Review
For citations:
Eminov S.I., Sochilin A.V., Petrov R.V., Zakharov M.A. Operator equation of diffraction on a segment of a circular cylinder. Title in english. 2023;(5(134)):863-870. (In Russ.) https://doi.org/10.34680/2076-8052.2023.5(134).863-870
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