A boundary integral equation for conformal mapping of bounded multiply connected regions

DOI10.1007/BF03321718zbMath1159.30007OpenAlexW2034519918MaRDI QIDQ2378573

Mohamed M. S. Nasser

Publication date: 13 January 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321718

zbMATH Keywords

Riemann-Hilbert problemnumerical conformal mappinggeneralized Neumann kernelmultiply connected regions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Fredholm integral equations (45B05) Schwarz-Christoffel-type mappings (30C30)

Related Items (26)

Infinite product representation for the Szegö kernel for an annulus ⋮ Conformal mappings of multiply connected domains onto canonical domains using the Green and Neumann functions ⋮ Fast computing of conformal mapping and its inverse of bounded multiply connected regions onto second, third and fourth categories of Koebe's canonical slit regions ⋮ Radial slit maps of bounded multiply connected regions ⋮ Numerical computation of the capacity of generalized condensers ⋮ Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions ⋮ Circular slits map of bounded multiply connected regions ⋮ A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem ⋮ A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains ⋮ Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains ⋮ Convergence of numerical solution of generalized Theodorsen's nonlinear integral equation ⋮ Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits ⋮ Circular slit maps of multiply connected regions with application to brain image processing ⋮ A fast numerical method for ideal fluid flow in domains with multiple stirrers ⋮ Numerical computing of preimage domains for bounded multiply connected slit domains ⋮ Numerical computation of the conformal map onto lemniscatic domains ⋮ Spiral slits map and its inverse of bounded multiply connected regions ⋮ Conformal mapping of unbounded multiply connected regions onto canonical slit regions ⋮ Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains ⋮ The approximate conformal mapping onto multiply connected domains ⋮ Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions ⋮ Parallel slits map of bounded multiply connected regions ⋮ Boundary integral equations for potential flow past multiple aerofoils ⋮ Straight slits map and its inverse of bounded multiply connected regions ⋮ A fast computational method for potential flows in multiply connected coastal domains ⋮ Fast computation of the circular map

Cites Work

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• Eigenproblem of the generalized Neumann kernel
• Rapid methods for the conformal mapping of multiply connected regions
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• The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
• An Orthonormalization Method for the Approximate Conformal Mapping of Multiply-Connected Domains
• The Numerical Solution of Integral Equations of the Second Kind
• Konstruktive Methoden der konformen Abbildung
• On the Numerical Solution of the Dirichlet Problem for a Region of General Shape
• Fast conformal mapping of multiply connected regions

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