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Complementary solutions of electrostatic field problems

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3 Author(s)
J. A. H. Rikabi ; Dept. of Electr. Eng., Mil. Coll. of Eng., Baghdad, Iraq ; C. F. Bryant ; E. M. Freeman

A general error form the corresponds to mismatch in the constitutive relationship is used for systematic derivation of complementary solution formulations, and the associated bounds, in electrostatic field problems. A close kinship between the error-based treatment and a general theorem on well-posed boundary conditions is made use of to highlight the role of boundary specifications in determining the expression for the complementary functionals. A combination of complementary computational results, obtained using two-dimensional finite elements is shown to provide valuable insight into numerical behavior

Published in:

IEEE Transactions on Magnetics  (Volume:25 ,  Issue: 6 )