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 ◽

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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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 ◽

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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Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy’s equation on polygons by mechanical quadrature methods

Numerical Algorithms ◽

10.1007/s11075-012-9563-0 ◽

2012 ◽

Vol 62 (1) ◽

pp. 27-43 ◽

Author(s):

Xin Luo ◽

Jin Huang ◽

Chuan-Long Wang

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Mechanical Quadrature ◽

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 ◽

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 ◽

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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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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 ◽

Author(s):

Eugeniusz Zieniuk ◽

Marta Kapturczak

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Laplace’S Equation ◽

Laplace's Equation ◽

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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 ◽

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 ◽

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Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2011.05.006 ◽

2011 ◽

Vol 35 (10) ◽

pp. 1136-1141 ◽

Author(s):

Pan Cheng ◽

Jin Huang ◽

Guang Zeng

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Mechanical Quadrature ◽

Splitting Extrapolation ◽

Quadrature Methods

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Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods

Advances in Computational Mathematics ◽

10.1007/s10444-011-9181-8 ◽

2011 ◽

Vol 36 (1) ◽

pp. 79-97 ◽

Author(s):

Jin Huang ◽

Guang Zeng ◽

Xiaoming He ◽

Zi-Cai Li

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Mechanical Quadrature ◽

Extrapolation Algorithm ◽

Splitting Extrapolation ◽

Quadrature Methods

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Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods

SIAM Journal on Scientific Computing ◽

10.1137/080740763 ◽

2010 ◽

Vol 31 (6) ◽

pp. 4115-4129 ◽

Author(s):

Jin Huang ◽

Zhu Wang

Keyword(s):

Helmholtz Equation ◽

Integral Equations ◽

Boundary Integral Equations ◽

Mixed Boundary ◽

Boundary Integral ◽

Mechanical Quadrature ◽

Quadrature Methods

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Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.05.004 ◽

2015 ◽

Vol 96 ◽

pp. 165-179 ◽

Author(s):

Chong Chen ◽

Xiaoming He ◽

Jin Huang

Keyword(s):

Integral Equations ◽

Stokes Equation ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Mechanical Quadrature ◽

Quadrature Methods

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