An iterative method for the conformal mapping of doubly connected regions

DOI10.1016/0377-0427(86)90131-7zbMath0577.30009OpenAlexW2000209770MaRDI QIDQ1065963

Rudolf Wegmann

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90131-7

zbMATH Keywords

Riemann-Hilbert problemmethod of Theodorsen-Garrick

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (14)

Conformal grid generation for high aspect ratio simply and doubly connected regions ⋮ A general framework for solving Riemann-Hilbert problems numerically ⋮ On the use of conformal mapping for the computation of hydrodynamic forces acting on bodies of arbitrary shape in viscous flow. II: Multi-body configuration ⋮ Conformal mapping and efficient boundary element method without boundary elements for fast vortex particle simulations ⋮ A simplified Fornberg-like method for the conformal mapping of multiply connected regions-comparisons and crowding ⋮ Numerical conformal mapping based on the generalised conjugation operator ⋮ A fast conformal mapping algorithm with no FFT ⋮ Numerical solution of Riemann-Hilbert problems: Painlevé II ⋮ Fast conformal mapping of multiply connected regions ⋮ Constructive solution of a certain class of Riemann-Hilbert problems on multiply connected circular regions ⋮ The instability of jets of arbitrary exit geometry ⋮ Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames ⋮ Numerical conformal mapping methods based on function conjugation

Cites Work

• Convergence proofs and error estimates for an iterative method for conformal mapping
• An iterative method for conformal mapping
• Fast Fourier Methods in Computational Complex Analysis
• A Numerical Method for Conformal Mapping of Doubly Connected Regions
• Konstruktive Methoden der konformen Abbildung
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