8 Conclusion and Outlook

This thesis presents theoretical approaches as well as algorithms and data structures for storing, generating, and adapting meshes with symmetries and/or similarities. A theoretical background for geometries and meshes has been presented in Chapter 2. Related research work has been investigated and discussed in Chapter 3. A theory for templated structures has been developed (cf. Chapter 4), which has been used to formulate general mesh generation and adaptation algorithms (cf. Chapter 5). Special (less complicated) algorithms for reflective and rotational symmetries (and their combinations) have been proposed in Chapter 6. The developed data structures and algorithms have been evaluated in Chapter 7.

This last chapter concludes the thesis by re-evaluating the research questions stated in the beginning (Section 8.1) and provides an outlook to possible further research directions (Section 8.2).