A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

DOI10.1186/1687-2770-2013-54zbMath1290.35053OpenAlexW2151634502WikidataQ59293442 ScholiaQ59293442MaRDI QIDQ2444610

Mohamed M. S. Nasser, Samer A. A. Al-Hatemi, Ali Hassan Mohamed Murid

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-54

zbMATH Keywords

Fredholm integral equationmixed boundary value problemgeneralized Neumann kernelRH problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Related Items (3)

Numerical computation of the capacity of generalized condensers ⋮ A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains ⋮ Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries

Cites Work

• Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains
• Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
• Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method
• Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions
• Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
• The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
• On the evaluation of layer potentials close to their sources
• A boundary integral method for the Riemann–Hilbert problem in domains with corners
• Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
• On the Treatment of a Dirichlet–Neumann Mixed Boundary Value Problem for Harmonic Functions by an Integral Equation Method

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