Conformal capacity and polycircular domains
We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular domains. Experimental error estimates are provided...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
2023
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://dx.doi.org/10.1016/j.cam.2022.114802 https://www.sciencedirect.com/science/article/pii/S0377042722004083 http://hdl.handle.net/10576/52942 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1857415085148864512 |
|---|---|
| author | Harri, Hakula |
| author2 | Nasser, Mohamed M.S. Vuorinen, Matti |
| author2_role | author author |
| author_facet | Harri, Hakula Nasser, Mohamed M.S. Vuorinen, Matti |
| author_role | author |
| dc.creator.none.fl_str_mv | Harri, Hakula Nasser, Mohamed M.S. Vuorinen, Matti |
| dc.date.none.fl_str_mv | 2023-03-01 2024-03-12T08:36:24Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://dx.doi.org/10.1016/j.cam.2022.114802 Hakula, H., Nasser, M. M., & Vuorinen, M. (2023). Conformal capacity and polycircular domains. Journal of Computational and Applied Mathematics, 420, 114802. 0377-0427 https://www.sciencedirect.com/science/article/pii/S0377042722004083 http://hdl.handle.net/10576/52942 420 1879-1778 |
| 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 | Multiply connected domains Condenser capacity Capacity computation |
| dc.title.none.fl_str_mv | Conformal capacity and polycircular domains |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular domains. Experimental error estimates are provided for the computed capacity and, when possible, the rate of convergence under refinement of discretization is analyzed. The main ingredients of the computation are two computational methods, on one hand the boundary integral equation method combined with the fast multipole method and on the other hand the hp-FEM method. The results obtained with these two methods agree with high accuracy. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | qu_98e671a7013bd8d4fe7887f486002da5 |
| identifier_str_mv | Hakula, H., Nasser, M. M., & Vuorinen, M. (2023). Conformal capacity and polycircular domains. Journal of Computational and Applied Mathematics, 420, 114802. 0377-0427 420 1879-1778 |
| language_invalid_str_mv | en |
| network_acronym_str | qu |
| network_name_str | Qatar University repository |
| oai_identifier_str | oai:qspace.qu.edu.qa:10576/52942 |
| publishDate | 2023 |
| 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 | Conformal capacity and polycircular domainsHarri, HakulaNasser, Mohamed M.S.Vuorinen, MattiMultiply connected domainsCondenser capacityCapacity computationWe study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular domains. Experimental error estimates are provided for the computed capacity and, when possible, the rate of convergence under refinement of discretization is analyzed. The main ingredients of the computation are two computational methods, on one hand the boundary integral equation method combined with the fast multipole method and on the other hand the hp-FEM method. The results obtained with these two methods agree with high accuracy.Elsevier2024-03-12T08:36:24Z2023-03-01Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.cam.2022.114802Hakula, H., Nasser, M. M., & Vuorinen, M. (2023). Conformal capacity and polycircular domains. Journal of Computational and Applied Mathematics, 420, 114802.0377-0427https://www.sciencedirect.com/science/article/pii/S0377042722004083http://hdl.handle.net/10576/529424201879-1778enhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:qspace.qu.edu.qa:10576/529422024-10-06T06:11:45Z |
| spellingShingle | Conformal capacity and polycircular domains Harri, Hakula Multiply connected domains Condenser capacity Capacity computation |
| status_str | publishedVersion |
| title | Conformal capacity and polycircular domains |
| title_full | Conformal capacity and polycircular domains |
| title_fullStr | Conformal capacity and polycircular domains |
| title_full_unstemmed | Conformal capacity and polycircular domains |
| title_short | Conformal capacity and polycircular domains |
| title_sort | Conformal capacity and polycircular domains |
| topic | Multiply connected domains Condenser capacity Capacity computation |
| url | http://dx.doi.org/10.1016/j.cam.2022.114802 https://www.sciencedirect.com/science/article/pii/S0377042722004083 http://hdl.handle.net/10576/52942 |