A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
type: Item
instance of: scholarly article
title: A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem
zbMATH Open document ID: 1272.35083
DOI: 10.1155/2012/254123
author: M. M. S. Nasser
author: Samer A. A. Al-Hatemi
author: Ali H. M. Murid
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace's equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 6169872
zbMATH Keywords: mixed boundary value problem
zbMATH Keywords: boundary integral equation
zbMATH Keywords: generalized Neumann kernel
zbMATH Keywords: two-dimensional Laplace's equation
Wikidata QID: Q58906478
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/254123
OpenAlex ID: W2152372794
cites work: The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
cites work: Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
cites work: A boundary integral equation for conformal mapping of bounded multiply connected regions
cites work: Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
cites work: Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains
cites work: Q5515593
cites work: Extracting singularities of Cauchy integrals -- a key point of a fast solver for plane potential problems with mixed boundary conditions
cites work: Regularized meshless method for multiply-connected-domain Laplace problems
cites work: A general solution procedure in elastostatics with multiply-connected regions with applications to mode III fracture mechanics problems
cites work: Q4209954
cites work: Q3241404
cites work: Q5820804
cites work: Q3699980
cites work: Q4650500
cites work: Q4762260
cites work: Numerical integration on advanced computer systems
cites work: A boundary integral method for the Riemann–Hilbert problem in domains with corners
cites work: Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
cites work: Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method
cites work: The Riemann--Hilbert problem and the generalized Neumann kernel
DBLP publication ID: journals/jam/NasserMA12
description: scientific article; zbMATH DE number 6169872