A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains

DOI10.1007/978-3-319-72640-3_11zbMath1405.30043arXiv1610.07098OpenAlexW2539853041MaRDI QIDQ4612255

Mohamed M. S. Nasser

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1610.07098

zbMATH Keywords

Riemann-Hilbert problemgeneralized Neumann kernelgeneral conjugation problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Fredholm integral equations (45B05)

Uses Software

• CircularMap

Cites Work

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• Numerical methods for Riemann-Hilbert problems in multiply connected circle domains
• Numerical computation of the conformal map onto lemniscatic domains
• Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains
• The Riemann--Hilbert problem and the generalized Neumann kernel
• Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
• Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe's canonical slit regions
• Fast solution of boundary integral equations with the generalized Neumann kernel
• Eigenproblem of the generalized Neumann kernel
• A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
• Fast computation of the circular map
• A boundary integral equation for conformal mapping of bounded multiply connected regions
• A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
• The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
• ℝ-linear and Riemann–Hilbert Problems for Multiply Connected Domains
• A Fast Boundary Integral Equation Method for Conformal Mapping of Multiply Connected Regions
• Scalar Riemann–Hilbert Problem for Multiply Connected Domains
• Potential Flow Analysis of Multielement Airfoils Using Conformal Mapping
• A boundary integral method for the Riemann–Hilbert problem in domains with corners
• Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
• Fast conformal mapping of multiply connected regions
• Constructive solution of a certain class of Riemann-Hilbert problems on multiply connected circular regions