Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions
type: Item
instance of: scholarly article
title: Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions
zbMATH Open document ID: 0769.65008
DOI: 10.1016/0377-0427(92)90009-M
author: Roland Haas
author: Hans J. Brauchli
published in: Journal of Computational and Applied Mathematics
publication date: 1993-05-16T00:00:00Z
review text: The process of deriving the extraction coefficients is carried out in two steps viz. (i) the conformal map route and ii) then, on the unit disc, singularities of the Cauchy integrals are extracted and integrated analytically. A summary of the complete algorithm is given.
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 30C30
zbMATH DE Number: 166554
zbMATH Keywords: extracting singularities
zbMATH Keywords: potential problems
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: numerical conformal mapping
zbMATH Keywords: extraction coefficients
zbMATH Keywords: conformal map
zbMATH Keywords: Cauchy integrals
zbMATH Keywords: algorithm
reviewed by: S. K. Rangarajan
describes a project that uses: SCPACK
MaRDI profile type: Publication
cites work: Q5828582
cites work: Solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods
cites work: Numerical Experiments on Solving Theodorsen’s Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods
cites work: The evaluation of the conjugate function of a periodic spline on a uniform mesh
cites work: Q3699980
cites work: Q5820804
cites work: Q5822969
cites work: Numerical Computation of the Schwarz–Christoffel Transformation
description: scientific article; zbMATH DE number 166554