Conformal Invariants in Simply Connected Domains
Matti Vuorinen; Mohamed M. S. Nasser
Conformal Invariants in Simply Connected Domains
Matti Vuorinen
Mohamed M. S. Nasser
SPRINGER HEIDELBERG
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042825633
https://urn.fi/URN:NBN:fi-fe2021042825633
Tiivistelmä
This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.
Kokoelmat
- Rinnakkaistallenteet [19207]