Computation of conformal invariants
<p dir="ltr">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 o...
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| منشور في: |
2021
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| _version_ | 1864513555070451712 |
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| author | Mohamed M.S. Nasser (16931772) |
| author2 | Matti Vuorinen (14152230) |
| author2_role | author |
| author_facet | Mohamed M.S. Nasser (16931772) Matti Vuorinen (14152230) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S. Nasser (16931772) Matti Vuorinen (14152230) |
| dc.date.none.fl_str_mv | 2021-01-15T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.amc.2020.125617 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Computation_of_conformal_invariants/24242515 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics 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 | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Applied Mathematics and Computation<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.amc.2020.125617" target="_blank">https://dx.doi.org/10.1016/j.amc.2020.125617</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_6b357c95d58be55c8d1496b0b9ce6557 |
| identifier_str_mv | 10.1016/j.amc.2020.125617 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24242515 |
| publishDate | 2021 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Computation of conformal invariantsMohamed M.S. Nasser (16931772)Matti Vuorinen (14152230)Mathematical sciencesApplied mathematicsConformal capacityHyperbolic capacityElliptic capacityBoundary integral equationsNumerical conformal mapping<p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Applied Mathematics and Computation<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.amc.2020.125617" target="_blank">https://dx.doi.org/10.1016/j.amc.2020.125617</a></p>2021-01-15T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.amc.2020.125617https://figshare.com/articles/journal_contribution/Computation_of_conformal_invariants/24242515CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/242425152021-01-15T00:00:00Z |
| spellingShingle | Computation of conformal invariants Mohamed M.S. Nasser (16931772) Mathematical sciences Applied mathematics 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 | Mathematical sciences Applied mathematics Conformal capacity Hyperbolic capacity Elliptic capacity Boundary integral equations Numerical conformal mapping |