Title :
Complementary solutions of electrostatic field problems
Author :
Rikabi, Ja´far A H ; Bryant, Clive F. ; Freeman, Ernest M.
Author_Institution :
Dept. of Electr. Eng., Mil. Coll. of Eng., Baghdad, Iraq
fDate :
11/1/1989 12:00:00 AM
Abstract :
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
Keywords :
electric fields; finite element analysis; numerical methods; boundary conditions; complementary functionals; complementary solution formulations; electrostatic field problems; error-based treatment; numerical behavior; two-dimensional finite elements; Boundary conditions; Capacitance; Computational electromagnetics; Elasticity; Electrostatics; Equations; Finite element methods; Gold; Permittivity; Voltage;
Journal_Title :
Magnetics, IEEE Transactions on