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Lessons learned and experience gained from the application of the FEM to solve transient flow filtration tasks The frequent occurrence of floods in recent times has motivated discussions of experts who concentrate on reviewing the safety of flood dikes. Due to their line character and the often unknown composition of their bodies and subsoil, this task is very complicated. The proposed paper deals with some risks involving the safety of flood dikes and possibilities for their treatment in Slovakia. Attention is also paid to the lessons learned and experience gained from the application of the finite element method by solving the above-mentioned problems.