Computation of conformal invariants
We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies to a wide variety of geometries: domains are assumed to have smooth or piecewise smooth boundaries...
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| Format: | article |
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2020
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| Online Access: | http://dx.doi.org/10.1016/j.amc.2020.125617 https://www.sciencedirect.com/science/article/pii/S0096300320305713 http://hdl.handle.net/10576/52960 |
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| _version_ | 1857415084497698816 |
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| author | Mohamed M.S., Nasser |
| author2 | Vuorinen, Matti |
| author2_role | author |
| author_facet | Mohamed M.S., Nasser Vuorinen, Matti |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S., Nasser Vuorinen, Matti |
| dc.date.none.fl_str_mv | 2020-09-01 2024-03-12T10:22:41Z |
| dc.identifier.none.fl_str_mv | http://dx.doi.org/10.1016/j.amc.2020.125617 Nasser, M. M., & Vuorinen, M. (2021). Computation of conformal invariants. Applied Mathematics and Computation, 389, 125617. 0096-3003 https://www.sciencedirect.com/science/article/pii/S0096300320305713 http://hdl.handle.net/10576/52960 389 1873-5649 |
| 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 | Conformal capacity Hyperbolic capacity Elliptic capacity Boundary integral equations Numerical conformal mapping |
| dc.title.none.fl_str_mv | Computation of conformal invariants |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies to a wide variety of geometries: domains are assumed to have smooth or piecewise smooth boundaries. The method we use is based on the boundary integral equation method developed and implemented in [1]. A characteristic feature of this method is that, with small changes in the code, a wide spectrum of problems can be treated. We compare the performance and accuracy to previous results in the cases when numerical data is available and also in the case of several model problems where exact results are available. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | qu_d572f75c413e6fc5f28070276595013f |
| identifier_str_mv | Nasser, M. M., & Vuorinen, M. (2021). Computation of conformal invariants. Applied Mathematics and Computation, 389, 125617. 0096-3003 389 1873-5649 |
| language_invalid_str_mv | en |
| network_acronym_str | qu |
| network_name_str | Qatar University repository |
| oai_identifier_str | oai:qspace.qu.edu.qa:10576/52960 |
| publishDate | 2020 |
| 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 | Computation of conformal invariantsMohamed M.S., NasserVuorinen, MattiConformal capacityHyperbolic capacityElliptic capacityBoundary integral equationsNumerical conformal mappingWe study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies to a wide variety of geometries: domains are assumed to have smooth or piecewise smooth boundaries. The method we use is based on the boundary integral equation method developed and implemented in [1]. A characteristic feature of this method is that, with small changes in the code, a wide spectrum of problems can be treated. We compare the performance and accuracy to previous results in the cases when numerical data is available and also in the case of several model problems where exact results are available.Elsevier2024-03-12T10:22:41Z2020-09-01Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.amc.2020.125617Nasser, M. M., & Vuorinen, M. (2021). Computation of conformal invariants. Applied Mathematics and Computation, 389, 125617.0096-3003https://www.sciencedirect.com/science/article/pii/S0096300320305713http://hdl.handle.net/10576/529603891873-5649enhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:qspace.qu.edu.qa:10576/529602024-07-23T07:49:03Z |
| spellingShingle | Computation of conformal invariants Mohamed M.S., Nasser Conformal capacity Hyperbolic capacity Elliptic capacity Boundary integral equations Numerical conformal mapping |
| status_str | publishedVersion |
| title | Computation of conformal invariants |
| title_full | Computation of conformal invariants |
| title_fullStr | Computation of conformal invariants |
| title_full_unstemmed | Computation of conformal invariants |
| title_short | Computation of conformal invariants |
| title_sort | Computation of conformal invariants |
| topic | Conformal capacity Hyperbolic capacity Elliptic capacity Boundary integral equations Numerical conformal mapping |
| url | http://dx.doi.org/10.1016/j.amc.2020.125617 https://www.sciencedirect.com/science/article/pii/S0096300320305713 http://hdl.handle.net/10576/52960 |