Approximate conformal mappings and elasticity theory

DOI10.1155/2016/4367205zbMath1400.30010OpenAlexW2513110305WikidataQ59125336 ScholiaQ59125336MaRDI QIDQ1788402

Elena A. Shirokova, Pyotr N. Ivanshin

Publication date: 8 October 2018

Published in: Journal of Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4367205

zbMATH Keywords

smooth boundaryTaylor polynomial

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items (9)

The approximate solution of 2D Dirichlet problem in doubly connected domains ⋮ Construction of complex potentials for multiply connected domains with given boundary circulations and fluxes ⋮ On the approximate conformal mapping of the exterior of a spiral slit onto the exterior of a horizontal slit ⋮ The approximate conformal mapping onto multiply connected domains ⋮ The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain ⋮ Construction of complex potentials for multiply connected domain ⋮ The approximate solution of the elastic torsion problem of uniform bar with arbitrary cross-section ⋮ Solution the Dirichlet problem for multiply connected domain using numerical conformal mapping ⋮ Construction of solutions for the first elasticity problem for noncircular domain

Cites Work

• On the approximate conformal mapping of the unit disk on a simply connected domain
• The Riemann--Hilbert problem and the generalized Neumann kernel
• On the approximate solutions of the second basic elasticity theory problem
• An iterative method for conformal mapping
• An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
• An integral equation method in conformal mapping
• A Numerical Method for Conformal Mappings
• The Accuracy of Numerical Conformal Mapping Methods: A Survey of Examples and Results
• Numerical conformal mapping based on the generalised conjugation operator
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