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Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. / Lyalinov, M. A. .

в: Journal of Mathematical Sciences, Том 243, № 5, 2019, стр. 734-745.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Lyalinov, MA 2019, 'Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions', Journal of Mathematical Sciences, Том. 243, № 5, стр. 734-745. https://doi.org/10.1007/s10958-019-04575-5

APA

Lyalinov, M. A. (2019). Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. Journal of Mathematical Sciences, 243(5), 734-745. https://doi.org/10.1007/s10958-019-04575-5

Vancouver

Lyalinov MA. Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. Journal of Mathematical Sciences. 2019;243(5):734-745. https://doi.org/10.1007/s10958-019-04575-5

Author

Lyalinov, M. A. . / Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. в: Journal of Mathematical Sciences. 2019 ; Том 243, № 5. стр. 734-745.

BibTeX

@article{968cad685e994953ab7a8a7f4c92e33e,
title = "Green{\textquoteright}s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions",
abstract = "A formal approach for the construction of the Green{\textquoteright}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.",
author = "Lyalinov, {M. A.}",
note = "Lyalinov, M.A. Green{\textquoteright}s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. J Math Sci 243, 734–745 (2019). https://doi.org/10.1007/s10958-019-04575-5",
year = "2019",
doi = "10.1007/s10958-019-04575-5",
language = "English",
volume = "243",
pages = "734--745",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions

AU - Lyalinov, M. A.

N1 - Lyalinov, M.A. Green’s Function for the Helmholtz Equation in a Polygonal Domain of Special Form with Ideal Boundary Conditions. J Math Sci 243, 734–745 (2019). https://doi.org/10.1007/s10958-019-04575-5

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85075161001&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04575-5

DO - 10.1007/s10958-019-04575-5

M3 - Article

VL - 243

SP - 734

EP - 745

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 48513168