Condenser capacity and hyperbolic perimeter
<p dir="ltr">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 (,) where is a simply connected domain in...
محفوظ في:
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| مؤلفون آخرون: | , |
| منشور في: |
2022
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513553276338176 |
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| author | Mohamed M.S. Nasser (16931772) |
| author2 | Oona Rainio (17151022) Matti Vuorinen (14152230) |
| author2_role | author author |
| author_facet | Mohamed M.S. Nasser (16931772) Oona Rainio (17151022) Matti Vuorinen (14152230) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S. Nasser (16931772) Oona Rainio (17151022) Matti Vuorinen (14152230) |
| dc.date.none.fl_str_mv | 2022-01-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.camwa.2021.11.016 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Condenser_capacity_and_hyperbolic_perimeter/24314284 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Information and computing sciences Artificial intelligence Mathematical sciences Applied mathematics Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |
| dc.title.none.fl_str_mv | Condenser capacity and hyperbolic perimeter |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">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 (,) where is a simply connected domain in the complex plane and is a compact subset of . Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of . 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Computers & Mathematics with Applications<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.camwa.2021.11.016" target="_blank">https://dx.doi.org/10.1016/j.camwa.2021.11.016</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_2dd77e9156458f0e9ba87888657d58ea |
| identifier_str_mv | 10.1016/j.camwa.2021.11.016 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24314284 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Condenser capacity and hyperbolic perimeterMohamed M.S. Nasser (16931772)Oona Rainio (17151022)Matti Vuorinen (14152230)Information and computing sciencesArtificial intelligenceMathematical sciencesApplied mathematicsCondenser capacityHyperbolic perimeterFast multipole methodBoundary integral equationNumerical conformal mapping<p dir="ltr">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 (,) where is a simply connected domain in the complex plane and is a compact subset of . Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of . 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Computers & Mathematics with Applications<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.camwa.2021.11.016" target="_blank">https://dx.doi.org/10.1016/j.camwa.2021.11.016</a></p>2022-01-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.camwa.2021.11.016https://figshare.com/articles/journal_contribution/Condenser_capacity_and_hyperbolic_perimeter/24314284CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/243142842022-01-01T00:00:00Z |
| spellingShingle | Condenser capacity and hyperbolic perimeter Mohamed M.S. Nasser (16931772) Information and computing sciences Artificial intelligence Mathematical sciences Applied mathematics Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |
| status_str | publishedVersion |
| title | Condenser capacity and hyperbolic perimeter |
| title_full | Condenser capacity and hyperbolic perimeter |
| title_fullStr | Condenser capacity and hyperbolic perimeter |
| title_full_unstemmed | Condenser capacity and hyperbolic perimeter |
| title_short | Condenser capacity and hyperbolic perimeter |
| title_sort | Condenser capacity and hyperbolic perimeter |
| topic | Information and computing sciences Artificial intelligence Mathematical sciences Applied mathematics Condenser capacity Hyperbolic perimeter Fast multipole method Boundary integral equation Numerical conformal mapping |