NEW DEVELOPMENTS ON THE COMBINED APPLICATION OF CHARGE SIMULATION ANDNUMERICAL-METHODS FOR THE COMPUTATION OF ELECTRIC-FIELDS

A new mathematical treatment is proposed to the hybrid method of Charg e Simulation and Finite Differences for the computation of electric fi elds, entirely applicable to the similar hybrid method of Charge Simul ation and Finite Elements. The resulting system of linear equations is solved by making use of the fixed point theory, the QR decomposition (by using the Modified Gram-Schmidt method) and the Conjugate Gradient s Squared method with preconditioning technique. New procedures are su ggested for the discretization of the boundary conditions, which lead to results with higher precision. Case studies are included.