On the approximate conformal mapping of the unit disk on a simply connected domain

DOI10.3103/S1066369X14030050zbMath1300.30013OpenAlexW2028320454MaRDI QIDQ465019

Elena A. Shirokova

Publication date: 30 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14030050

zbMATH Keywords

integral equationconformal mappingcontracting mapping

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (11)

The approximate solution of 2D Dirichlet problem in doubly connected domains ⋮ Construction of complex potentials for multiply connected domains with given boundary circulations and fluxes ⋮ Approximate method for solving the problem of conformal mapping of an arbitrary polygon to a unit circle ⋮ On the approximate conformal mapping of the exterior of a spiral slit onto the exterior of a horizontal slit ⋮ Inverse boundary value problem of the plane theory of elasticity ⋮ The approximate conformal mapping onto simply and doubly connected domains ⋮ Approximate conformal mappings and elasticity theory ⋮ The approximate conformal mapping onto multiply connected domains ⋮ The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain ⋮ Construction of complex potentials for multiply connected domain ⋮ Construction of solutions for the first elasticity problem for noncircular domain

Uses Software

• CirclePack

Cites Work

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• An iterative method for conformal mapping
• The Newton method for solving the Theodorsen integral equation
• Numerical conformal mapping methods based on function conjugation
• On the reduction of the solution of an inverse boundary value problem to the solution of a Fredholm equation

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