Research
- Uncertainty quantification.
- Development and analysis of multilevel Monte Carlo methods for stochastic partial differential equations, discretisation of PDEs on stochastic domains.
- (PIs J.Hampton, J.Principe)
- Unfitted finite element discretisations
- Aggregated finite element methods; high order unfitted schemes; aggregated mixed finite elements; applications in computational solid and fluid mechanics.
- (PIs F. Verdugo, M. Caicedo, S. Badia)
- Open source scientific software:
- Design of advanced mathematical software, e.g., using novel programming languages and programming paradigms, scalable implementations on distributed memory machines.
- (PIs S. Badia and F. Verdugo)
