On the use of Fourier series/FFT's as global basis functions in the solution of boundary integral equations for EM scattering

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.318652 ◽

1994 ◽

Vol 42 (9) ◽

pp. 1309-1316 ◽

Author(s):

R.M. James

Keyword(s):

Fourier Series ◽

Integral Equations ◽

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 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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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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On hybrid temporal basis functions for stable numerical solution of time domain boundary integral equations

Advances in Aerodynamics ◽

10.1186/s42774-019-0011-x ◽

2019 ◽

Vol 1 (1) ◽

Author(s):

Fang Q. Hu

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Time Domain ◽

Boundary Integral Equations ◽

Domain Boundary ◽

Boundary Integral ◽

Basis Functions ◽

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EM scattering from a lossy dielectric triangular cylinder-based on novel coupled boundary integral equations

Antennas and Propagation Society Symposium 1991 Digest ◽

10.1109/aps.1991.174903 ◽

2002 ◽

Author(s):

Hong Chen Yin ◽

Wen Xun Zhang

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Em Scattering ◽

Lossy Dielectric

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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 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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Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide

IEICE Transactions on Electronics ◽

10.1587/transele.2020ecp5004 ◽

2021 ◽

Vol E104.C (1) ◽

pp. 1-10

Author(s):

Masahiro TANAKA

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Single Mode ◽

Boundary Integral ◽

Slab Waveguide ◽

Two Dimensional ◽

Single Mode Waveguide

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