Dieter Gaier's contributions to numerical conformal mapping

DOI10.1007/BF03321024zbMath1055.30007OpenAlexW2116905199MaRDI QIDQ1884416

N. Papamichael

Publication date: 1 November 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321024

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)

Related Items (6)

Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals ⋮ Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems ⋮ Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method ⋮ On capacity computation for symmetric polygonal condensers ⋮ Error analysis of the Bergman kernel method with singular basis functions ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SCPACK
• CONFPACK
• kirch
• BKMPACK

Cites Work

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• On the convergence of the Bieberbach polynomials in regions with piecewise analytic boundary
• Development of the mapping function at an analytic corner
• Über ein Extremalproblem der konformen Abbildung
• Numerical conformal mapping of exterior domains
• Pole-type singularities and the numerical conformal mapping of doubly- connected domains
• Convergence of Bieberbach polynomials in domains with quasiconformal boundary
• On the computation of modules of long quadrilaterals
• A domain decomposition method for conformal mapping onto a rectangle
• A domain decomposition method for approximating the conformal modules of long quadrilaterals
• Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
• Jacobi polynomial solutions of first kind integral equations for numerical conformal mapping
• Classical free-streamline flow over a polygonal obstacle
• Numerical conformal mapping methods based on function conjugation
• The treatment of corner and pole-type singularities in numerical conformal mapping techniques
• A reparameterisation method to determine conformal maps
• A fast method for solving certain integral equations of the first kind with application to conformal mapping
• On a polynomial lemma of Andrievskii
• On an area problem in conformal mapping
• Numerical techniques for conformal mapping onto a rectangle
• On the convergence of the Bieberbach polynomials in regions with corners
• A Galerkin collocation method for some integral equations of the first kind
• The use of splines and singular functions in an integral equation method for conformal mapping
• Capacitance and the conformal module of quadrilaterals
• Two numerical methods for the conformal mapping of simply-connected domains
• An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
• Integralgleichungen erster Art und konforme Abbildung
• The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values
• Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
• Conformal mapping of long quadrilaterals and thick doubly connected domains
• Approximation of conformal mappings of annular regions
• Polynomial approximation of conformal maps
• \(L^2\)-approximations of power and logarithmic functions with applications to numerical conformal mapping
• Numerical conformal mapping via Chebyshev weighted solutions of Symm's integral equation
• On integral equations of the first kind with logarithmic kernels
• Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems
• Polynomials orthogonal over a region and Bieberbach polynomials
• Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain
• An integral equation method in conformal mapping
• Numerical mapping of exterior domains
• Conformal mapping of doubly-connected domains
• Die Bestimmung des Moduls zweifach zusammenhängender Gebiete mit Hilfe von Differenzenverfahren
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• Konforme Abbildung mehrfach zusammenhängender Gebiete durch direkte Lösung von Extremalproblemen
• On a theorem of L. Lichtenstein
• On the decrease of Faber polynomials in domains with piecewise analytic boundary
• Über ein Iterationsverfahren von <scp>Komatu</scp> zur konformen Abbildung von Ringgebieten
• The Use of Singular Functions for the Approximate Conformal Mapping of Doubly-Connected Domains
• An Orthonormalization Method for the Approximate Conformal Mapping of Multiply-Connected Domains
• A Modified Schwarz–Christoffel Transformation for Elongated Regions
• On the Comparison of Two Numerical Methods for Conformal Mapping
• ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN
• A Numerical Method for Conformal Mapping
• CONFORMAL MAPPING OF ANALYTIC CORNERS IN A GENERALIZED SENSE
• Heat Flow Inequalities with Applications to Heat Flow Optimization Problems
• A Modern Look at Conformal Mapping Including Multiply Connected Regions
• The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• A Chebyshev collocation method for solving Symm's integral equation for conformal mapping: a partial error analysis
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Schwarz-Christoffel Mapping
• W₂¹,L_∞-convergence of Bieberbach polynomials in a Lipschitz domain
• Konstruktive Methoden der konformen Abbildung
• A procedure for conformal maps of simply connected domains by using the Bergman function
• An Improved Method for Numerical Conformal Mapping
• REMARKS ON AHLFORS' DISTORTION THEOREM
• An Application of Orthonormal Functions in the Theory of Conformal Mapping
• Approximating the conformal maps of elongated quadrilaterals by domain decomposition

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