Surface electric fields and spatial derivatives of Green's function of layered media based on half-space extraction

2000 ◽  
Vol 24 (4) ◽  
pp. 247-253 ◽  
Author(s):  
Leung Tsang ◽  
Chung-Chi Huang ◽  
Chi H. Chan
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Electric Fields ◽  
Green's Function ◽  
Layered Media ◽  
Spatial Derivatives ◽  
Derivatives Of

Implementation of Different Formulas for Special Green’s Functions in a 3D Half-Space BEM

2019 ◽  
Vol 27 (01) ◽  
pp. 1850051 ◽  
Author(s):  
Rafael Piscoya ◽  
Martin Ochmann
Keyword(s):  
Green’S Function ◽  
Boundary Element ◽  
Half Space ◽  
Green's Function ◽  
Numerical Stability ◽  
Green's Functions ◽  
Green’S Functions ◽  
Correction Term ◽  
Second Derivatives ◽  
Derivatives Of

The numerical stability of different formulas for the correction term of the half-space Green’s function is investigated. The formula with complex monopoles is taken as a reference. The expressions of Koh and Yook, tested in a previous publication [R. Piscoya and M. Ochmann, Acoustical Green’s function and boundary element techniques for 3D half-space problems, J. Comput. Acoust. (2017), https://doi.org/10.1142/S0218396X17300018 ], are rewritten to improve their range of application. The formulas of Sommerfeld and Thomasson are analyzed and its suitability for a BEM implementation is evaluated by comparing their accuracy against our reference. For the sake of completeness, the first and second derivatives of the formulas are explicitly written.

Image Solution for the 3-D Static Green’s Function of a Vertically Stratified Two-Layer Half-Space

2016 ◽  
Vol 64 (10) ◽  
pp. 4336-4342
Author(s):  
Ehsan Zareian-Jahromi ◽  
Seyed Hossein H. Sadeghi ◽  
Reza Sarraf-Shirazi ◽  
Rouzbeh Moini ◽  
Hamidreza Karami
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function

A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space

2015 ◽  
Vol 15 (1) ◽  
Author(s):  
Zhao Liu ◽  
Wei Dai
Keyword(s):  
Boundary Conditions ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Dirichlet Boundary ◽  
Type Theorem ◽  
Dirichlet Boundary Conditions ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Harmonic System

AbstractIn this paper, we consider the following poly-harmonic system with Dirichlet boundary conditions in a half space ℝwherewhereis the Green’s function in ℝ

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