This course is designed to familiarize the students with the mathematical concepts and computational techniques in quantifying the risk, reliability and resilience (RRR) of large, complex systems, in the presence of multiple types of uncertainty. Often the information available for RRR analysis is heterogeneous, coming from multiple sources (models, tests, experts) and in multiple formats. […]

The finite element method (FEM) and finite volume method (FVM) are widely used numerical techniques for solving differential equations, with FEM mainly applied in solid mechanics and FVM in heat transfer and fluid dynamics. Both methods have drawbacks: FEM can lead to discontinuities at element interfaces unless C1-continuous approximations are used, while FVM relies on […]