Boundary integral equations on the sphere with radial basis functions: error analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.033 ◽

2009 ◽

Vol 59 (11) ◽

pp. 2857-2871 ◽

Author(s):

T. Tran ◽

Q.T. Le Gia ◽

I.H. Sloan ◽

E.P. Stephan

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

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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 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

Applied Mathematics and Mechanics ◽

10.1007/s10483-020-2592-8 ◽

2020 ◽

Vol 41 (4) ◽

pp. 551-566 ◽

Author(s):

W. T. Ang ◽

X. Wang

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Variable Coefficients ◽

Boundary Integral ◽

Basis Functions ◽

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A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.07.030 ◽

2011 ◽

Vol 35 (2) ◽

pp. 737-751 ◽

Author(s):

Xiaolin Li ◽

Jialin Zhu ◽

Shougui Zhang

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Meshless Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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Computation of 3-D Sensitivity Coefficients in Magnetic Induction Tomography Using Boundary Integral Equations and Radial Basis Functions

IEEE Transactions on Magnetics ◽

10.1109/tmag.2008.2001989 ◽

2008 ◽

Vol 44 (10) ◽

pp. 2268-2276 ◽

Author(s):

M.H. Pham ◽

A.J. Peyton

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Magnetic Induction ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Sensitivity Coefficients ◽

Radial Basis ◽

Magnetic Induction Tomography

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A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.09.010 ◽

2013 ◽

Vol 239 ◽

pp. 72-92 ◽

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Two Dimensional ◽

Radial Basis ◽

Dimensional Integral

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The numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.08.055 ◽

2017 ◽

Vol 293 ◽

pp. 545-554 ◽

Author(s):

H. Laeli Dastjerdi ◽

M. Nili Ahmadabadi

Keyword(s):

Error Analysis ◽

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

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A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions

Numerische Mathematik ◽

10.1007/s00211-012-0483-7 ◽

2012 ◽

Vol 123 (1) ◽

pp. 145-176 ◽

Author(s):

S. Sauter ◽

A. Veit

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Compactly Supported ◽

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On the use of radial basis functions in boundary integral equation methods

Integral methods in science and engineering ◽

10.1201/9780367812027-10 ◽

2020 ◽

pp. 48-52

Author(s):

A. Charafi ◽

D.R. Matravers

Keyword(s):

Integral Equation ◽

Radial Basis Functions ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Basis Functions ◽

Integral Equation Methods ◽

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A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11467-y ◽

2017 ◽

Vol 132 (5) ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Singular Integral ◽

Meshless Method ◽

Singular Integral Equations ◽

Basis Functions ◽

Weakly Singular ◽

Radial Basis ◽

Weakly Singular Integral Equations

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