منابع مشابه
Conformal Mapping in Linear Time
Given any ǫ > 0 and any planar region Ω bounded by a simple n-gon P we construct a (1 + ǫ)-quasiconformal map between Ω and the unit disk in time C(ǫ)n. One can take C(ǫ) = C + C log 1 ǫ log log 1 ǫ . Date: August 13, 2009. 1991 Mathematics Subject Classification. Primary: 30C35, Secondary: 30C85, 30C62 .
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This paper examines two key features of time-dependent conformal mappings in doubly-connected regions, the evolution of the conformal modulus Q(t) and the boundary transformation generalizing the Hilbert transform. It also applies the theory to an unsteady free surface flow. Focusing on inviscid, incompressible, irrotational fluid sloshing in a rectangular vessel, it is shown that the explicit ...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2010
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-010-9269-9