A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN
Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential equation of the diffraction problem is consi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penza State University Publishing House
2020-12-01
|
| Series: | Известия высших учебных заведений. Поволжский регион: Физико-математические науки |
| Subjects: |
| _version_ | 1818866185381347328 |
|---|---|
| author | A. A. Tsupak |
| author_facet | A. A. Tsupak |
| author_sort | A. A. Tsupak |
| collection | DOAJ |
| description | Background. The purpose of the work is to develop and implement the parallel
algorithm for numerical solving the problem of electromagnetic wave diffraction by
non-planar perfectly conducting screens.
Materials and methods. Vector integro-differential equation of the diffraction
problem is considered; basis vector functions on non-planar parameterized screens
are introduced; the Galerkin method is used to find approximate solutions of the
problem.
Results. The Galerkin method is implemented using the MPI interface;
computational experiments are performed; efficiency of parallelization of the
numerical method is analyzed.
Conclusions. The results of numerical tests confirmed the convergence of the
Galerkin method and usefulness of using parallel algorithms for solving complex
vector scattering problems. |
| first_indexed | 2024-12-19T10:59:25Z |
| format | Article |
| id | doaj.art-0d5c50ef7e304e858d71548b11b0d37a |
| institution | Directory Open Access Journal |
| issn | 2072-3040 |
| language | English |
| last_indexed | 2024-12-19T10:59:25Z |
| publishDate | 2020-12-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Известия высших учебных заведений. Поволжский регион: Физико-математические науки |
| spelling | doaj.art-0d5c50ef7e304e858d71548b11b0d37a2022-12-21T20:24:42ZengPenza State University Publishing HouseИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки2072-30402020-12-01410.21685/2072-3040-2020-4-3A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREENA. A. Tsupak0Penza State UniversityBackground. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential equation of the diffraction problem is considered; basis vector functions on non-planar parameterized screens are introduced; the Galerkin method is used to find approximate solutions of the problem. Results. The Galerkin method is implemented using the MPI interface; computational experiments are performed; efficiency of parallelization of the numerical method is analyzed. Conclusions. The results of numerical tests confirmed the convergence of the Galerkin method and usefulness of using parallel algorithms for solving complex vector scattering problems.vector problem of diffractionnon-planar screensintegrodifferential equationsthe galerkin methodparallel algorithms |
| spellingShingle | A. A. Tsupak A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN Известия высших учебных заведений. Поволжский регион: Физико-математические науки vector problem of diffraction non-planar screens integrodifferential equations the galerkin method parallel algorithms |
| title | A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN |
| title_full | A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN |
| title_fullStr | A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN |
| title_full_unstemmed | A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN |
| title_short | A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN |
| title_sort | numerical method and a parallel algorithm for solving the problem of electromagnetic wave diffraction on a non planar perfectly conducting screen |
| topic | vector problem of diffraction non-planar screens integrodifferential equations the galerkin method parallel algorithms |
| work_keys_str_mv | AT aatsupak anumericalmethodandaparallelalgorithmforsolvingtheproblemofelectromagneticwavediffractiononanonplanarperfectlyconductingscreen AT aatsupak numericalmethodandaparallelalgorithmforsolvingtheproblemofelectromagneticwavediffractiononanonplanarperfectlyconductingscreen |