Email this article Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions
- Authors: Lyalinov M.A.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 243, No 5 (2019)
- Pages: 734-745
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/243152
- DOI: https://doi.org/10.1007/s10958-019-04575-5
- ID: 243152
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Abstract
A formal approach for the construction of the Green’s function in a polygonal domain with the Dirichlet boundary conditions is proposed. The complex form of the Kontorovich–Lebedev transform and the reduction to a system of integral equations is employed. The far-field asymptotics of the wave field is discussed.
About the authors
M. A. Lyalinov
St. Petersburg State University
Author for correspondence.
Email: lyalinov@yandex.ru
Russian Federation, St. Petersburg
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