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. Numerical results showing the order of convergence of the method will also be presented.