On the resonances of an inhomogeneous dielectric ball, coated with graphene
Background. The purpose of the work is the development, software implementation and testing of algorithms designed to find resonant frequencies in an inhomogeneous dielectric ball coated with graphene. The relevance of the task is due to the widespread use of graphene in the technical field due to i...
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| Format: | Article |
| Language: | English |
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Penza State University Publishing House
2025-03-01
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| Series: | Известия высших учебных заведений. Поволжский регион: Физико-математические науки |
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| _version_ | 1849688902386843648 |
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| author | O.S. Skvortsov |
| author_facet | O.S. Skvortsov |
| author_sort | O.S. Skvortsov |
| collection | DOAJ |
| description | Background. The purpose of the work is the development, software implementation and testing of algorithms designed to find resonant frequencies in an inhomogeneous dielectric ball coated with graphene. The relevance of the task is due to the widespread use of graphene in the technical field due to its unique properties. Materials and methods. The Galerkin method is applied to discretize a vector integro-differential equation, piecewise constant basic vector functions on a three-dimensional body and on its surface are determined, and a parallel algorithm for solving the problem using the MSMPI library is developed. Results. The effectiveness of the parallel algorithm, which makes it possible to detect the desired resonances under specified conditions, has been confirmed. Conclusions. An effective parallel algorithm has been created for discretization of the integro-differential equation, finding the determinant of the matrix and searching for resonant frequencies. |
| format | Article |
| id | doaj-art-e6fc19df1aa547e78d567bd337dd0b3d |
| institution | DOAJ |
| issn | 2072-3040 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Известия высших учебных заведений. Поволжский регион: Физико-математические науки |
| spelling | doaj-art-e6fc19df1aa547e78d567bd337dd0b3d2025-08-20T03:21:50ZengPenza State University Publishing HouseИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки2072-30402025-03-01410.21685/2072-3040-2024-4-6On the resonances of an inhomogeneous dielectric ball, coated with grapheneO.S. Skvortsov0Penza State UniversityBackground. The purpose of the work is the development, software implementation and testing of algorithms designed to find resonant frequencies in an inhomogeneous dielectric ball coated with graphene. The relevance of the task is due to the widespread use of graphene in the technical field due to its unique properties. Materials and methods. The Galerkin method is applied to discretize a vector integro-differential equation, piecewise constant basic vector functions on a three-dimensional body and on its surface are determined, and a parallel algorithm for solving the problem using the MSMPI library is developed. Results. The effectiveness of the parallel algorithm, which makes it possible to detect the desired resonances under specified conditions, has been confirmed. Conclusions. An effective parallel algorithm has been created for discretization of the integro-differential equation, finding the determinant of the matrix and searching for resonant frequencies. resonance searchinhomogeneous bulk bodygraphene coatingsingular integro-differential equationbasic functionsgalerkin methoddielectric ballparallel algorithm |
| spellingShingle | O.S. Skvortsov On the resonances of an inhomogeneous dielectric ball, coated with graphene Известия высших учебных заведений. Поволжский регион: Физико-математические науки resonance search inhomogeneous bulk body graphene coating singular integro-differential equation basic functions galerkin method dielectric ball parallel algorithm |
| title | On the resonances of an inhomogeneous dielectric ball, coated with graphene |
| title_full | On the resonances of an inhomogeneous dielectric ball, coated with graphene |
| title_fullStr | On the resonances of an inhomogeneous dielectric ball, coated with graphene |
| title_full_unstemmed | On the resonances of an inhomogeneous dielectric ball, coated with graphene |
| title_short | On the resonances of an inhomogeneous dielectric ball, coated with graphene |
| title_sort | on the resonances of an inhomogeneous dielectric ball coated with graphene |
| topic | resonance search inhomogeneous bulk body graphene coating singular integro-differential equation basic functions galerkin method dielectric ball parallel algorithm |
| work_keys_str_mv | AT osskvortsov ontheresonancesofaninhomogeneousdielectricballcoatedwithgraphene |