Comprehensive Regularization of PIES for Problems Modeled by 2D Laplace’s Equation

2021 ◽  
pp. 465-479
Author(s):  
Krzysztof Szerszeń ◽  
Eugeniusz Zieniuk ◽  
Agnieszka Bołtuć ◽  
Andrzej Kużelewski
Keyword(s):  
Laplace’S Equation ◽  
Laplace's Equation

scholarly journals Note on the electric capacity coefficients of spheres

1912 ◽  
Vol 87 (598) ◽  
pp. 485-487
Keyword(s):  
General Solution ◽  
Laplace’S Equation ◽  
Laplace's Equation ◽  
Electric Capacity ◽  
Physical Problems

In the 'Proceedings' of the Society, vol. 87, p. 109, Mr. Jeffery obtains a general solution of Laplace’s equation in a form suitable for physical problems in connection with two spheres. As an illustration he applies his solution to the problem of finding the capacity coefficients of two equal spheres, obtaining a result which he shows to be equivalent to one of Maxwell’s series formulæ. He then computes a table of the numerical values of these coefficients.

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