Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals
| Author | Nasser, Mohamed |
| Author | Rainio, Oona |
| Author | Rasila, Antti |
| Author | Vuorinen, Matti |
| Author | Wallace, Terry |
| Author | Yu, Hang |
| Author | Zhang, Xiaohui |
| Available date | 2024-03-12T09:55:09Z |
| Publication Date | 2022-09-13 |
| Publication Name | Advances in Computational Mathematics |
| Identifier | http://dx.doi.org/10.1007/s10444-022-09975-x |
| Citation | Nasser, M., Rainio, O., Rasila, A., Vuorinen, M., Wallace, T., Yu, H., & Zhang, X. (2022). Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Advances in Computational Mathematics, 48(5), 58. |
| ISSN | 1019-7168 |
| Abstract | We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs, also called polycircular domains, and compute the moduli of quadrilaterals for these domains. Experimental error estimates are provided and, when possible, comparison to exact values or other methods are given. We also analyze the rate of convergence as a function of the number of degrees of freedom. The main ingredients of the computation are boundary integral equations combined with the fast multipole method. |
| Sponsor | Open Access funding provided by University of Turku (UTU) including Turku University Central Hospital. This work was also funded by: - the University of Turku Graduate School UTUGS. A. - National Natural Science Foundation of China (No. 11971124). - Natural Science Foundation of Guangdong Province (No. 2021A1515010326). - the Natural Science Foundation of Zhejiang Province (LY22A010004). |
| Language | en |
| Publisher | Springer Nature |
| Subject | Boundary integral equations Condenser capacity Numerical conformal mappings |
| Type | Article |
| Issue Number | 5 |
| Volume Number | 48 |
| ESSN | 1572-9044 |
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