Condenser capacity and hyperbolic perimeterImage 1
We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (G,E) where G is a simply connected domain in the complex plane and E...
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| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
2021
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://dx.doi.org/10.1016/j.camwa.2021.11.016 https://www.sciencedirect.com/science/article/pii/S0898122121004132 http://hdl.handle.net/10576/52957 |
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| _version_ | 1857415086671396864 |
|---|---|
| author | Mohamed M.S., Nasser |
| author2 | Rainio, Oona Vuorinen, Matti |
| author2_role | author author |
| author_facet | Mohamed M.S., Nasser Rainio, Oona Vuorinen, Matti |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S., Nasser Rainio, Oona Vuorinen, Matti |
| dc.date.none.fl_str_mv | 2021-11-30 2024-03-12T10:02:33Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://dx.doi.org/10.1016/j.camwa.2021.11.016 Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic perimeter. Computers & Mathematics with Applications, 105, 54-74. 0898-1221 https://www.sciencedirect.com/science/article/pii/S0898122121004132 http://hdl.handle.net/10576/52957 54-74 105 1873-7668 |
| dc.language.none.fl_str_mv | en |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.rights.none.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |
| dc.title.none.fl_str_mv | Condenser capacity and hyperbolic perimeterImage 1 |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (G,E) where G is a simply connected domain in the complex plane and E is a compact subset of G. Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of E. Our computational experiments demonstrate, for instance, sharpness of established inequalities. In the case of model problems with known analytic solutions, very high precision of computation is observed. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | qu_4b18c7a1ab12b1be7ab359772bdc550f |
| identifier_str_mv | Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic perimeter. Computers & Mathematics with Applications, 105, 54-74. 0898-1221 54-74 105 1873-7668 |
| language_invalid_str_mv | en |
| network_acronym_str | qu |
| network_name_str | Qatar University repository |
| oai_identifier_str | oai:qspace.qu.edu.qa:10576/52957 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| spelling | Condenser capacity and hyperbolic perimeterImage 1Mohamed M.S., NasserRainio, OonaVuorinen, MattiCondenser capacityHyperbolic perimeterFast multipole methodBoundary integral equationNumerical conformal mappingWe study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (G,E) where G is a simply connected domain in the complex plane and E is a compact subset of G. Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of E. Our computational experiments demonstrate, for instance, sharpness of established inequalities. In the case of model problems with known analytic solutions, very high precision of computation is observed.This work was was financially supported by the University of Turku Graduate School UTUGS.Elsevier2024-03-12T10:02:33Z2021-11-30Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.camwa.2021.11.016Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic perimeter. Computers & Mathematics with Applications, 105, 54-74.0898-1221https://www.sciencedirect.com/science/article/pii/S0898122121004132http://hdl.handle.net/10576/5295754-741051873-7668enhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:qspace.qu.edu.qa:10576/529572024-07-23T15:53:05Z |
| spellingShingle | Condenser capacity and hyperbolic perimeterImage 1 Mohamed M.S., Nasser Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |
| status_str | publishedVersion |
| title | Condenser capacity and hyperbolic perimeterImage 1 |
| title_full | Condenser capacity and hyperbolic perimeterImage 1 |
| title_fullStr | Condenser capacity and hyperbolic perimeterImage 1 |
| title_full_unstemmed | Condenser capacity and hyperbolic perimeterImage 1 |
| title_short | Condenser capacity and hyperbolic perimeterImage 1 |
| title_sort | Condenser capacity and hyperbolic perimeterImage 1 |
| topic | Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |
| url | http://dx.doi.org/10.1016/j.camwa.2021.11.016 https://www.sciencedirect.com/science/article/pii/S0898122121004132 http://hdl.handle.net/10576/52957 |