Two numerical methods for the conformal mapping of simply-connected domains

DOI10.1016/0045-7825(81)90003-7zbMath0477.30009OpenAlexW1977885007MaRDI QIDQ1160769

N. Papamichael, C. A. Kokkinos

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90003-7

zbMATH Keywords

Ritz methodBergman Kernel method

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Approximation in the complex plane (30E10) Schwarz-Christoffel-type mappings (30C30)

Related Items

Dieter Gaier's contributions to numerical conformal mapping, Numerical conformal mapping via the Bergman kernel, Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review, Analytical evaluation and application of the singularities in boundary element method, 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, Error analysis of the Bergman kernel method with singular basis functions, The determination of the poles of the mapping function and their use in numerical conformal mapping, Numerical conformal mapping of exterior domains, Stability and convergence properties of Bergman kernel methods for numerical conformal mapping, Asymptotic behaviour of zeros of Bieberbach polynomials, The treatment of corner and pole-type singularities in numerical conformal mapping techniques, Uniform approximation as a numerical tool for constructing conformal maps

Cites Work

• Development of the mapping function at an analytic corner
• Application of the method of the kernel function for solving boundary- value problems
• Capacitance and the conformal module of quadrilaterals
• Numerical techniques for two-dimensional Laplacian problems
• Finite difference techniques for ring capacitors
• Conformal mapping of doubly-connected domains
• On the Bauer's scaled condition number of matrices arising from approximate conformal mappings
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• 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
• The Use of Conformal Transformations for the Numerical Solution of Elliptic Boundary Value Problems with Boundary Singularities
• Konstruktive Methoden der konformen Abbildung
• Advances in Orthonormalizing Computation
• A procedure for conformal maps of simply connected domains by using the Bergman function
• Theory of Reproducing Kernels
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item