Reply by author to discussion by Amalendu Roy
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Fundamentally, in reply to point (3) of Roy’s discussion, the term “potential” has been used for physical functions which obey Laplace’s equation or the potential equation (Courant and Hilbert, 1962, p. 240) [Formula: see text] where [Formula: see text] (1) for [Formula: see text] and [Formula: see text] (with [Formula: see text]). Courant and Hilbert call the solution of equation (1) potential functions or harmonic functions. A large number of authors including Jeffreys (1956), Kellogg (1953), and Grant and West (1965), have considered the properties of “potential fields” for [Formula: see text]. This is the context in which I have used the term “potential.”
1944 ◽
Vol 62
(1)
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pp. 31-36
1913 ◽
Vol s2-12
(1)
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pp. 100-125
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2006 ◽
Vol 181
(1)
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pp. 675-684
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2012 ◽
Vol 63
(1)
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pp. 60-67
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1991 ◽
Vol 96
(2)
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pp. 391-410
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1912 ◽
Vol 87
(598)
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pp. 485-487
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An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace’s equation
2011 ◽
Vol 52
(6)
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pp. 980-994
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