Group

Our group develops structure-preserving numerical methods for partial differential equations, with applications in fluid dynamics, magnetohydrodynamics, and fusion plasma physics.

Current members

PhD student

Rafael Rodriguez-Velasco

Optimal control of fusion processes through high-accuracy magnetohydrodynamic simulations, finite element methods, and real-time control.

PhD student

Junjie Wen

Structure-preserving numerical methods for kinetic plasma models and fusion processes.

Alumni

PhD students and postdoctoral researchers

• 
  Peter Munch Postdoctoral researcher Large-scale simulation of fusion processes.
• 
  Tuan Anh Dao PhD, 2024 Invariant domain preserving schemes for magnetohydrodynamics.
• Lukas Lundgren PhD, 2023 High-order finite element methods for incompressible variable density flow.
• 
  Simon Sticko Postdoctoral researcher, 2020–2022 Positivity-preserving methods for immersed boundary methods.

Supervised theses

• David Näsström Master’s thesis, 2024 Flooding simulation using a high-order finite element approximation of the shallow water equations.
• Charitini Stavropoulou Master’s thesis, 2021 A residual based artificial viscosity method for the stabilization of the shallow water equations.
• Tuan Anh Dao Master’s thesis, 2019 A stable and accurate hybrid FE–FD method.
• Tianhao Zhang Master’s thesis, 2019 Stability analysis of goal-oriented adaptivity for 2D incompressible flow problems.
• William Sjösten and Victor Vadling Bachelor’s thesis, 2018 Finite Element Approximations of 2D Incompressible Navier–Stokes Equations Using Residual Viscosity.
• Anton Segerkvist Bachelor’s thesis, 2015 A Comparison of Linear and Nonlinear Finite Element Stabilization Techniques for Fluid Problems.