Conjugate Function Method for Numerical Conformal Mappings
Harri Hakula, Tri Quach, Antti Rasila
TL;DR
This paper introduces a numerical method for computing conformal mappings from complex domains onto rectangles or annuli using conjugate harmonic functions, with demonstrated examples.
Contribution
The paper proposes a conjugate function-based numerical approach for conformal mapping onto canonical domains, enhancing computational techniques in complex analysis.
Findings
Successfully computes conformal maps for various domains.
Demonstrates the method with multiple numerical examples.
Provides a practical tool for conformal mapping in complex analysis.
Abstract
We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.