Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions

DOI10.1016/0377-0427(92)90009-MzbMath0769.65008MaRDI QIDQ1208541

Roland Haas, Hans J. Brauchli

Publication date: 16 May 1993

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

zbMATH Keywords

algorithmRiemann-Hilbert problemCauchy integralsmixed boundary conditionspotential problemsnumerical conformal mappingconformal mapextracting singularitiesextraction coefficients

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical quadrature and cubature formulas (65D32) Schwarz-Christoffel-type mappings (30C30)

Related Items (6)

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Numerical computation of Muskhelishvili's integral equation in plane elasticity ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem ⋮ A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions ⋮ Simulation of singularity in the potential problem with semi-analytical elements

Uses Software

• SCPACK

Cites Work

• The evaluation of the conjugate function of a periodic spline on a uniform mesh
• Solving Theodorsen's integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods
• Numerical Computation of the Schwarz–Christoffel Transformation
• Numerical Experiments on Solving Theodorsen’s Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods
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