The approximate solution of 2D Dirichlet problem in doubly connected domains

DOI10.1155/2018/6951513zbMath1416.65506OpenAlexW2832206975WikidataQ129490438 ScholiaQ129490438MaRDI QIDQ1629270

Elena A. Shirokova, Atallah El-Shenawy

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6951513

zbMATH Keywords

Cauchy integralFredholm integral equationLaplace equationFourier coefficientsdoubly connected domain

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain ⋮ The approximate solution of the elastic torsion problem of uniform bar with arbitrary cross-section

Cites Work

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• On the approximate conformal mapping of the unit disk on a simply connected domain
• Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains
• A highly accurate regular domain collocation method for solving potential problems in the irregular doubly connected domains
• Approximate conformal mappings and elasticity theory
• The approximate conformal mapping onto simply and doubly connected domains
• Boundary Integral Solutions of Laplace's Equation
• A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains
• Integral equation methods in potential theory. I

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