The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain
Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This analytic method gives highly accurate results. We give examples of applications...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2019-01-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5570&lang=ru |
| _version_ | 1818620979279036416 |
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| author | Ivanshin P. N. Shirokova E. A. |
| author_facet | Ivanshin P. N. Shirokova E. A. |
| author_sort | Ivanshin P. N. |
| collection | DOAJ |
| description | Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This analytic method gives highly accurate results. We give examples of applications of the method. |
| first_indexed | 2024-12-16T18:01:59Z |
| format | Article |
| id | doaj.art-ef0ed571cd3e43f4a8823332d2cbc3c0 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-16T18:01:59Z |
| publishDate | 2019-01-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-ef0ed571cd3e43f4a8823332d2cbc3c02022-12-21T22:22:02ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322019-01-018(26)2516610.15393/j3.art.2019.5570The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domainIvanshin P. N.0Shirokova E. A.1Kazan Federal UniversityKazan Federal UniversityHere we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This analytic method gives highly accurate results. We give examples of applications of the method.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5570&lang=ruCauchy integralLaplace equationmixed boundary value problemmultiply connected domainapproximate solution |
| spellingShingle | Ivanshin P. N. Shirokova E. A. The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain Проблемы анализа Cauchy integral Laplace equation mixed boundary value problem multiply connected domain approximate solution |
| title | The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain |
| title_full | The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain |
| title_fullStr | The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain |
| title_full_unstemmed | The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain |
| title_short | The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain |
| title_sort | solution of a mixed boundary value problem for the laplace equation in a multiply connected domain |
| topic | Cauchy integral Laplace equation mixed boundary value problem multiply connected domain approximate solution |
| url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5570&lang=ru |
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