It has been shown that the introduced frameworks have different focuses with respect to the classification shown in Section 1.1. Fig. 1.1 shows the flexibility of related software tools within the single layers introduced in the former section.
It can be seen that none of the investigated tools provides high flexibility in the discretization layer as well as in the interfaces to the discretization layer. One of the main reasons is that the discretization strongly relies on the underlying topological structure which is often restricted to special access methods. The following section shows an appropriate topological framework with which these operations are possible and the discretization can be carried out.