Abstract
Any simply connected rectifiable domain Ω can be decomposed into uniformly chord-arc subdomains using only crosscuts of the domain. We show that such a decomposition allows one to construct a map from Ω to the disk which is close to conformal in a uniformly quasiconformal sense. This answers a question of Vavasis.
| Original language | English |
|---|---|
| Pages (from-to) | 389-404 |
| Number of pages | 16 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 35 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Conformal mapping
- Hyperbolic geometry
- Inner chord-arc domains
- Numerical conformal mapping
- Quasiconformal maps
- Schwarz-Christoffel formula
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