Endre Süli

Partial differential equations and their numerical analysis; the mathematical theory of finite element methods for nonlinear partial differential equations; in particular:

• Adaptive algorithms for partial differential equations and a-posteriori error control
• Discontinuous, stabilised, and multiscale finite element methods
• Non-Newtonian fluids, dilute polymers and high-dimensional Fokker-Planck equations: PDE theory and numerical analysis
• Computational modelling of fracture, numerical analysis of free-discontinuity problems and quasi-continuum methods