The cell method (CM) is a numerical scheme which implements the classification of global variables, presented in the previous chapter, in a numerical algorithm. This chapter is devoted to the explanation of how Tonti diagrams can be directly translated into a numerical procedure, how topological operators are translated into matrices and how constitutive equations can be expressed in terms of global variables. An extensive and mathematically rigorous presentation of many of the concepts summarized in this chapter can be found, e.g., in [1].