LAMBERTI Pedro Walter
A simple numerical method for solving problems in electrostatics
PEDRO W. LAMBERTI; DOMINGO PRATO
AMERICAN JOURNAL OF PHYSICS
AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS
Lugar: New York; Año: 1991 vol. 59 p. 68 - 70
A very simple numerical method for solving boundary problems in electrostatics is presented. The approximation scheme is based on the substitution of a series expansion of the electrostatic potential by a finite sum and a discretization of the boundary where the conditions are given. These boundary conditions may be of the mixed type. In this way the original problem is reduced to the solution of a system of linear equations. As an application of the method proposed, the problem of a hollow cap of a sphere set to a constant potential is treated.