Experimental asymptotic convergence of the collocation method for boundary integral equations on polygons governing Laplace's equation

M. Costabel; V. J. Ervin; E. P. Stephan

doi:10.1007/bf00370107

Experimental asymptotic convergence of the collocation method for boundary integral equations on polygons governing Laplace's equation

Computational Mechanics ◽

10.1007/bf00370107 ◽

1990 ◽

Vol 6 (4) ◽

pp. 271-278

Author(s):

M. Costabel ◽

V. J. Ervin ◽

E. P. Stephan

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Asymptotic Convergence ◽

Laplace’S Equation ◽

Laplace's Equation

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Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.07.004 ◽

2010 ◽

Vol 34 (12) ◽

pp. 1003-1008 ◽

Cited By ~ 5

Author(s):

Jin Huang ◽

Zi-Cai Li ◽

I-Lin Chen ◽

Alexander H.D. Cheng

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Splitting Extrapolation ◽

Quadrature Methods

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Boundary integral equations with the generalized Neumann kernel for Laplace’s equation in multiply connected regions

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.11.027 ◽

2011 ◽

Vol 217 (9) ◽

pp. 4710-4727 ◽

Cited By ~ 20

Author(s):

M.M.S. Nasser ◽

A.H.M. Murid ◽

M. Ismail ◽

E.M.A. Alejaily

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Multiply Connected ◽

Generalized Neumann Kernel ◽

Multiply Connected Regions ◽

Neumann Kernel

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High-accuracy quadrature methods for solving nonlinear boundary integral equations of axisymmetric Laplace’s equation

Computational and Applied Mathematics ◽

10.1007/s40314-018-0714-3 ◽

2018 ◽

Vol 37 (5) ◽

pp. 6838-6847 ◽

Cited By ~ 1

Author(s):

Hu Li ◽

Jin Huang

Keyword(s):

Integral Equations ◽

Nonlinear Boundary ◽

Boundary Integral Equations ◽

High Accuracy ◽

Boundary Integral ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Quadrature Methods

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On the asymptotic convergence of a collocation method for some boundary integral equations of the first kind

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00161-1 ◽

1997 ◽

Vol 78 (2) ◽

pp. 329-353

Author(s):

M.S. Abou El-Seoud

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Asymptotic Convergence

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Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace’s equation

Computational and Applied Mathematics ◽

10.1007/s40314-018-0598-2 ◽

2018 ◽

Vol 37 (4) ◽

pp. 4835-4855 ◽

Cited By ~ 4

Author(s):

Eugeniusz Zieniuk ◽

Marta Kapturczak

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Nurbs Curves

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SPECIAL BOUNDARY INTEGRAL EQUATIONS FOR APPROXIMATE SOLUTION OF LAPLACE'S EQUATION IN TWO-DIMENSIONAL REGIONS WITH CIRCULAR HOLES

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/34.3.265 ◽

1981 ◽

Vol 34 (3) ◽

pp. 265-286 ◽

Cited By ~ 29

Author(s):

MARTIN R. BARONE ◽

DAVID A. CAULK

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Two Dimensional ◽

Special Boundary ◽

Laplace’S Equation ◽

Laplace's Equation ◽

Circular Holes

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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Cited By ~ 5

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

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On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0050 ◽

2019 ◽

Vol 11 (4) ◽

pp. 807-837 ◽

Cited By ~ 2

Author(s):

global sci

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral

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The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00242-1 ◽

1996 ◽

Vol 72 (1) ◽

pp. 1-20 ◽

Cited By ~ 2

Author(s):

H.Z. Shu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Smooth Curves

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Justification of the Collocation Method for a Class of Boundary Integral Equations

Differential Equations ◽

10.1023/b:dieq.0000028717.72234.47 ◽

2004 ◽

Vol 40 (1) ◽

pp. 89-93 ◽

Cited By ~ 3

Author(s):

F. A. Abdullaev ◽

E. G. Khalilov

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral

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