The use of splines and singular functions in an integral equation method for conformal mapping

DOI10.1007/BF01396191zbMath0441.30016MaRDI QIDQ1142884

D. M. Hough, N. Papamichael

Publication date: 1981

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132722

zbMATH Keywords

corner singularitiesspline functionsnumerical conformal mapping

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Spline approximation (41A15) Schwarz-Christoffel-type mappings (30C30)

Related Items

Dieter Gaier's contributions to numerical conformal mapping, A charge simulation method for the numerical conformal mapping of interior, exterior and doubly-connected domains, Bidirectional numerical conformal mapping based on the dipole simulation method, An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains, Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review, Orthogonal mapping in two dimensions, Numerical conformal mapping based on the generalised conjugation operator, Numerical conformal mappings onto the linear slit domain, Some applications of a galerkin‐collocation method for boundary integral equations of the first kind, Numerical conformal mapping via Chebyshev weighted solutions of Symm's integral equation, Numerical solution to the interface problem in a general domain using Moser's deformation method, Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems, Jacobi polynomial solutions of first kind integral equations for numerical conformal mapping, The treatment of corner and pole-type singularities in numerical conformal mapping techniques, A reparameterisation method to determine conformal maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the use of conformal transformations for the numerical solution of harmonic boundary value problems
• An integral equation method in conformal mapping
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• Fast Fourier Methods in Computational Complex Analysis
• Exact Formulae for Certain Integrals Arising in Potential Theory
• A Numerical Comparison of Integral Equations of the First and Second Kind for Conformal Mapping
• The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains
• Konstruktive Methoden der konformen Abbildung
• An Improved Method for Numerical Conformal Mapping