A fast method of moments based on a new closed-form Green's function for microstrip structures

2002 ◽  
Author(s):  
Yuehe Ge ◽  
K.P. Esselle
Keyword(s):  
Green’S Function ◽  
Closed Form ◽  
Green's Function ◽  
Method Of Moments ◽  
Fast Method

Green’s function–based surrogate model for windfields using limited samples

2017 ◽  
Vol 42 (3) ◽  
pp. 164-176 ◽  
Author(s):  
Joshua Paul Marshall ◽  
Joseph David Richardson ◽  
Carlos Jose Montalvo
Keyword(s):  
Green’S Function ◽  
Wind Velocity ◽  
Green's Function ◽  
Surrogate Model ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Fast Method ◽  
Three Dimensional Model ◽  
Wind Velocities ◽  
Wind Measurements

There exists many applications for which wind-velocity is desired over a three-dimensional space. The vector field associated with these wind velocities is known as a “windfield” or “velocity-windfield.” The present work provides a fast method to characterize windfields. The approach uses the free-space Green’s function for potential theory as an inexpensive surrogate model in lieu of either complicated physics-based models or other types of surrogate models, both of which require volumetric discretizations for the three-dimensional case. Using the gradient of the third Green’s identity, the wind-velocity in the interior of a domain is entirely characterized by a surface discretization while still providing a three-dimensional model. The unknown densities on the surface are determined from enforcement of the interior form of the identity at arbitrary points coinciding with wind measurements taken by unmanned aerial vehicles. Numerical results support the feasibility of the method.

Coulomb Green's Function in Closed Form

1963 ◽  
Vol 10 (11) ◽  
pp. 469-470 ◽  
Author(s):  
Levere Hostler ◽  
R. H. Pratt
Keyword(s):  
Green’S Function ◽  
Closed Form ◽  
Green's Function ◽  
Coulomb Green’S Function
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