Numerical computation of Mityuk's function and radius for circular/radial slit domains
Kalmoun El Mostafa; Nasser Mohamed M.S.; Vuorinen Matti
Numerical computation of Mityuk's function and radius for circular/radial slit domains
Kalmoun El Mostafa
Nasser Mohamed M.S.
Vuorinen Matti
Academic Press Inc.
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042713692
https://urn.fi/URN:NBN:fi-fe2021042713692
Tiivistelmä
We consider Mityuk’s function and radius which have been proposed in [15]as generalizations of the reduced modulus and conformal radius to the cases of multiply connected domains. We present a numerical method to compute Mityuk’s function and radius for canonical domains that consist of the unit disk with circular/radial slits. Our method is based on the boundary integral equation with the generalized Neumann kernel. Special attention is given to the validation of the theoretical results on the existence of critical points and the boundary behavior of Mityuk’s radius.
Kokoelmat
- Rinnakkaistallenteet [19207]