DBCI solution of helical scalar potential problems in unbounded domains

Dirichlet boundary condition iteration (DBCI) is a hybrid method to solve electromagnetic problems in unbounded domains in conjunction with the standard finite-element method. The purpose of the paper is to extend the capabilities of DBCI to compute open-boundary electrical and magnetic scalar potentials exhibiting helical symmetry. The potential values obtained with DBCI agree well with those derived from an analytical solution used to validate the method. The DBCI is also applied to the study of a capacitance sensor used to measure the concentration of phases in a fluid mixture.