Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits

DOI10.1016/j.amc.2011.07.018zbMath1250.30004OpenAlexW2051099610MaRDI QIDQ654683

Ali W. K. Sangawi, Ali Hassan Mohamed Murid, Mohamed M. S. Nasser

Publication date: 29 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.018

zbMATH Keywords

boundary integral equationsnumerical conformal mappingNeumann kernelgeneralized Neumann kernel

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (11)

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 ⋮ Circular slits map of bounded multiply connected regions ⋮ Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains ⋮ Circular slit maps of multiply connected regions with application to brain image processing ⋮ Improving the accuracy of the charge simulation method for numerical conformal mapping ⋮ Spiral slits map and its inverse of bounded multiply connected regions ⋮ Conformal mapping of unbounded multiply connected regions onto canonical slit regions ⋮ The approximate conformal mapping onto multiply connected domains ⋮ Parallel slits map of bounded multiply connected regions ⋮ Straight slits map and its inverse of bounded multiply connected regions

Uses Software

• SKPrime

Cites Work

• Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
• Numerical conformal mapping via the Szegö kernel
• A fast method for solving certain integral equations of the first kind with application to conformal mapping
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• On the approximate conformal mapping of multiply connected domains
• A domain integral equation for the Bergman kernel
• A charge simulation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
• Numerical conformal mappings of bounded multiply connected domains by the charge simulation method.
• A boundary integral equation for conformal mapping of bounded multiply connected regions
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
• Conformal mappings between canonical multiply connected domains
• Conformal mapping of doubly-connected domains
• An Orthonormalization Method for the Approximate Conformal Mapping of Multiply-Connected Domains
• Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• On the Numerical Solution of the Dirichlet Problem for a Region of General Shape
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