Harmonic shears and numerical conformal mappings

DOI10.2298/FIL1708231QzbMath1488.30170arXiv1405.6759MaRDI QIDQ5156285

Tri Quach

Publication date: 15 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6759

zbMATH Keywords

numerical methodconformal mappingsminimal surfacesharmonic shearharmonic univalent mappingsconvex Along horizontal directions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Geometric function theory (30C99) Schwarz-Christoffel-type mappings (30C30)

Related Items (1)

Univalent harmonic mappings and lift to the minimal surfaces

Uses Software

• Matlab
• Schwarz-Christoffel
• SC Toolbox
• SCPACK
• ShearTool

Cites Work

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• Harmonic shears of slit and polygonal mappings
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• Geometric properties of harmonic shears
• Harmonic shears of regular polygons by hypergeometric functions
• Complex functions and images
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
• Visual Complex Functions
• Numerical Computation of the Schwarz–Christoffel Transformation
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Schwarz-Christoffel Mapping
• Harmonic univalent functions
• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping
• Numerical Methods for Special Functions
• Calculation of Gauss Quadrature Rules

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