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7 Conclusions

We have described a concept to deal with time-dependent simulation data on adaptive meshes, where the discretization changes in time. One aspect we have tried to underline throughout this paper is, that many questions of scientific visualization in this area are closely related to numerical concepts. We think that the visualization of time-dependent adaptive data is a good example for the benefits visualization derives from the numerical background. On the other hand an interactive and efficient handling of this type of simulation data supports visual debugging of recent numerical methods and helps to understand the global geometry and interesting features of the results.