arXiv
Open Access
2023
Fast computation of analytic capacity
Mohamed M S Nasser
Christopher C. Green
Matti Vuorinen
Abstrak
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Stein integral equation to compute the Szegö kernel and then the value of the Ahlfors map at the point at infinity. The proposed method can be used for domains with smooth and piecewise smooth boundaries. When combined with conformal mappings, the method can be used for compact slit sets. Several numerical examples are presented to demonstrate the efficiency of the proposed method. We recover some known exact results and corroborate the conjectural subadditivity property of analytic capacity.
Topik & Kata Kunci
Penulis (3)
M
Mohamed M S Nasser
C
Christopher C. Green
M
Matti Vuorinen
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- en
- Sumber Database
- arXiv
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- Open Access ✓