| Principal Investigator: | doc. Ing. Mužík Juraj, PhD. |
| Researchers: | prof. Ing. Karel Kovářík, CSc., Ing. Gago Filip, PhD., Ing. Cigáň Filip |
| Project Duration: | 7/2024 - 6/2026 |
| The global goal of this project is to provide a unified theoretical and numerical basis for solving wave diffusion and propagation in inhomogeneous and complex structures and metamaterials. Experimental studies show that these processes can proceed by anomalous mechanisms. Some of these physical mechanisms include anomalous diffusion transport or hybrid wave transport. Describing these mechanisms is challenging, and one of the promising alternatives is the tools of fractional differential calculus, a field of mathematical analysis that deals with derivatives of non-integer order. The goal of the project is to design and create tools for a numerical modeling framework combining models driven by fractional derivatives and theoretical analysis of metamaterial structures. The corresponding numerical basis implements an element-free approach using fast algorithms based on this paradigm, which will allow for the efficient solution of large-scale tasks with respect to computational complexity. | |
