The long-term projection of research will be in several directions. The development of advanced isogeometric structural models will continue. These models include the application of a hierarchical B-spline to partially create a denser mesh that allows sufficient numerical accuracy while reducing computational requirements and speeding up the execution of calculations. The isogeometric multiparameter models created in this way would be combined with optimization algorithms and the level set method, which would allow for advanced topological optimization. In addition to the isogeometric models, a meshless approach will be used to model first simple models from fluid mechanics and then more complex systems containing multiphase fluids.

One of the research directions includes the continuation of research in the field of modal analysis and dynamics of structures. The dynamic characterization of structures is essential for the analysis and evaluation of structures, including the development of their digital twins. High-speed cameras play an important role in the creation of digital twins and the identification of structures. Research is moving in the direction of developing advanced algorithms that can identify the full displacement from videos taken with a high-speed camera, which is not possible with classical modal analysis methods. Particular difficulties arise with 3D problems. Models obtained by isogeometric analysis are used to simulate videos. Such simulations make it possible to shorten the preparation time for experimental investigations. As soon as the simulation model provides satisfactory results, experimental research will be started in cooperation with the faculty in Ljubljana or independently if we provide a fast camera and the necessary equipment.