Research
My research interests comprise:
High-order methods: finite element, discontinuous Galerkin, hybridisable discontinuous Galerkin
Low-order methods: finite volume, face-centred finite volume
Error & adaptivity: a posteriori estimates, goal-oriented estimates, mesh and degree adaptation, anisotropic meshes
Dimensionality & complexity reduction: scientific machine learning, reduced order models, proper generalised decomposition, multi-fidelity, domain decomposition
PDE-constrained optimisation: shape and topology optimisation, multiobjective optimisation, moving interfaces
Development of open-source CSE software
Applications: computational fluid dynamics, computational solid mechanics, multiphysics, image segmentation, industrial problems, sustainability