[en] A new precision method of analytical field calculation is presented. The method is suitable for solution of the problem of dielectrics in the field of conductors. This method consists in the linear superposition of the fields due to simple charge distributions. Linear or point charges are to be determined from the boundary values. All singularities are located inside the electrodes and inside or outside the dielectrics. The values of charges are determined by the solution of a system of linear equations. The advantages of the method are its accuracy, simplicity and availability. The accuracy of the method is higher than 0.004%. (author)