Abstract
AbstractThis 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Analysis
Reference25 articles.
1. Ahlfors, L.V.: Conformal Invariants. McGraw-Hill, New York (1973)
2. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Conformal Invariants. Inequalities and Quasiconformal Maps. Wiley-Interscience, New York (1997)
3. Atkinson, K., Jeon, Y.: Algorithm 788: Automatic boundary integral equation program for the planar Laplace equation. Electron. ACM Trans. Math. Softw. 24(4), 395–417 (1998)
4. Beardon, A.F.: The Geometry of Discrete Groups. Springer, New York (1983)
5. Driscoll, T.A.: Schwarz–Christoffel Toolbox, Version 2.4.1, http://github.com/tobydriscoll/sc-toolbox. Accessed 3 2019 (2019)
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