Mathematics

In this discussion, I will briefly introduce the open-source software KratosMultiphysics. I will do an overview of its development process and will show some of its current capabilities. Afterward, I will talk about the RomApplication in Kratos, which is implemented following a Galerkin-POD approach. Finally, I will talk about my recent work on localized model order reduction. In local ROM, an unsupervised learning algorithm is employed to create multiple clusters of snapshots and correspondingly, multiple local linear subspaces, rather than a single global one.