Unified Construction of Green’s functions for Poisson’s equation in inhomogeneous media with diffuse interfaces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.06.007 ◽

2017 ◽

Vol 326 ◽

pp. 296-319 ◽

Author(s):

Changfeng Xue ◽

Shaozhong Deng

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Inhomogeneous Media ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Diffuse Interfaces

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Poisson’s Equation and Green’s Functions

Essential Mathematics for Engineers and Scientists ◽

10.1017/9781108691536.013 ◽

2020 ◽

pp. 610-665

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Poisson’S Equation ◽

Poisson's Equation

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The use of discrete Green's functions in the numerical solution of Poisson's equation

Illinois Journal of Mathematics ◽

10.1215/ijm/1255454119 ◽

1958 ◽

Vol 2 (4A) ◽

pp. 593-607 ◽

Author(s):

J. M. Berger ◽

G. J. Lasher

Keyword(s):

Numerical Solution ◽

Green's Functions ◽

Green’S Functions ◽

Poisson’S Equation ◽

Poisson's Equation

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Comments on Poisson's equation in inhomogeneous media

Proceedings of the IEEE ◽

10.1109/proc.1970.7580 ◽

1970 ◽

Vol 58 (1) ◽

pp. 175-176

Author(s):

I. Sugai

Keyword(s):

Inhomogeneous Media ◽

Poisson’S Equation ◽

Poisson's Equation

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A regularization approach for solving Poisson’s equation with singular charge sources and diffuse interfaces

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106144 ◽

2020 ◽

Vol 102 ◽

pp. 106144 ◽

Author(s):

Siwen Wang ◽

Arum Lee ◽

Emil Alexov ◽

Shan Zhao

Keyword(s):

Poisson’S Equation ◽

Poisson's Equation ◽

Diffuse Interfaces

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Exact analytic expressions of Green’s functions for wave propagation in certain types of range‐dependent inhomogeneous media

The Journal of the Acoustical Society of America ◽

10.1121/1.410433 ◽

1994 ◽

Vol 96 (1) ◽

pp. 484-490 ◽

Author(s):

Y. L. Li

Keyword(s):

Wave Propagation ◽

Green's Functions ◽

Green’S Functions ◽

Inhomogeneous Media ◽

Analytic Expressions

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Study of Sommerfeld and Phase-Integral Approaches for Green's Functions for PEC-terminated Inhomogeneous Media

10.21236/ada514711 ◽

2010 ◽

Author(s):

Deb Chatterjee ◽

Shaun D. Walker

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Inhomogeneous Media ◽

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Poisson's equation in inhomogeneous media

Proceedings of the IEEE ◽

10.1109/proc.1965.4122 ◽

1965 ◽

Vol 53 (8) ◽

pp. 1141-1142 ◽

Author(s):

E. Della Torre ◽

C.V. Longo

Keyword(s):

Inhomogeneous Media ◽

Poisson’S Equation ◽

Poisson's Equation

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Green’s functions for wave propagation in range‐dependent inhomogeneous media—Some exact analytic solutions

The Journal of the Acoustical Society of America ◽

10.1121/1.407999 ◽

1993 ◽

Vol 94 (3) ◽

pp. 1775-1775

Author(s):

Y. L. Li

Keyword(s):

Wave Propagation ◽

Green's Functions ◽

Green’S Functions ◽

Analytic Solutions ◽

Inhomogeneous Media ◽

Exact Analytic Solutions

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Coulomb Green's functions at diffuse interfaces

Molecular Physics ◽

10.1080/00268977400101571 ◽

1974 ◽

Vol 28 (1) ◽

pp. 131-150 ◽

Author(s):

J.W. Perram ◽

Michael N. Barber

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Diffuse Interfaces

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Vector wave function expansions of dyadic Green's functions for bianisotropic media

IEE Proceedings - Microwaves Antennas and Propagation ◽

10.1049/ip-map:20020292 ◽

2002 ◽

Vol 149 (1) ◽

pp. 57-63 ◽

Author(s):

E.L. Tan

Keyword(s):

Wave Function ◽

Green's Functions ◽

Green’S Functions ◽

Vector Wave ◽

Vector Wave Function ◽

Dyadic Green’S Functions ◽

Dyadic Green's Functions

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