Title :
A priori error bounds on potentials, fields, and energies evaluated with a modified kernel
Author :
Fabbri, Massimo ; Ribani, Pier Luigi
Author_Institution :
Dept. of Electr. Eng., Bologna Univ., Italy
fDate :
7/1/2001 12:00:00 AM
Abstract :
The singular integrals involved in the solution of the scalar and vector Poisson equation are considered. A regularization method, which depends on a positive parameter, is described. The dependence of the error on the value of the positive parameter is studied. An a priori upper bound on the error is calculated, which can be used when applying the method in solving general three-dimensional problems by means of integral methods
Keywords :
Poisson equation; electrostatics; error analysis; integration; magnetostatics; a priori error bounds; electric energy; electric field; electric potential; electrostatics; magnetic energy; magnetic field; magnetic potential; magnetostatics; modified kernel; positive parameter; regularization method; scalar Poisson equation; singular integral method; three-dimensional problem; vector Poisson equation; Current density; Electromagnetic fields; Error analysis; Inductance; Integral equations; Kernel; Magnetic forces; Poisson equations; Power engineering and energy; Upper bound;
Journal_Title :
Magnetics, IEEE Transactions on
