A Cauchy integral method of the solution of the 2D Dirichlet problem for simply or doubly connected domains

DOI10.1002/NUM.22290zbMath1407.65330OpenAlexW2808713049WikidataQ129687077 ScholiaQ129687077MaRDI QIDQ4623430

Atallah El-Shenawy, Elena A. Shirokova

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22290

zbMATH Keywords

Dirichlet problemCauchy integralFredholm integral equationsimply connected domaindoubly connected domainFourier polynomial

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Second-order elliptic equations (35J15) Fourier series and coefficients in several variables (42B05)

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The solution of a mixed boundary value problem for the Laplace equation in a 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

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