Mixed Boundary-Value Problems in Potential Theory
1979 ◽
Vol 22
(2)
◽
pp. 91-98
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Keyword(s):
The problems associated with finding solutions of Laplace's equation subject to mixed boundary conditions have attracted much attention and, as a consequence, a variety of analytical techniques have been developed for the solution of such problems. Sneddon (1) has given a comprehensive account of these techniques. The object of this note is to draw attention to some simple orthogonal polynomial solutions to the most basic mixed boundary-value problems in two and threedimensional potential theory. These solutions have the advantage that most quantities of physical interest are easily evaluated in terms of known functions. Two-dimensional problems are considered in §2 and axially-symmetric three-dimensional problems in §3.
2013 ◽
Vol 2013.26
(0)
◽
pp. _2008-1_-_2008-3_
Keyword(s):
1998 ◽
Vol 454
(1973)
◽
pp. 1269-1282
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Keyword(s):
Keyword(s):
1977 ◽
Vol 77
(1-2)
◽
pp. 65-77
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Keyword(s):
1994 ◽
Vol 47
(1)
◽
pp. 159-174
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