Solution of the Dirichlet problem for the Laplace equation for a multiply connected region with point symmetry |
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Authors: | I F Spivak-Lavrov |
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Institution: | (1) “Dunie” Aktyubinsk Nongovernmental Higher Educational Institute, 463000 Aktyubinsk, Kazakhstan |
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Abstract: | A method is proposed which uses an expansion of the potential in irreducible representations of the symmetry group of the
field-defining elements of a system. A boundary-value problem is solved for multipole systems with planar plate electrodes
for the C
nv symmetry group. A quadrature expression is obtained for the field potential of these systems. Constraints imposed on the
electrode potentials, under which such a solution is possible, are determined. Results of calculations of the potential distribution
are presented for various specific systems.
Zh. Tekh. Fiz. 69, 1–9 (March 1999) |
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Keywords: | |
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