A Second-Order Cell Method for Poisson´s Equation

The cell method, similar to the finite integration technique, is a well-established numerical method for the solution of field problems; however, an often raised criticism is that it is limited to constant fields within elements. In this paper, we show that for the case of Poisson´s equation, the cell method can be extended to the second-order convergence. Numerical results showing the order of convergence of the method are presented.