Fabian Laakmann
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
DPhil (PhD) student in the EPSRC Centre for Doctoral Training in Partial Differential Equations - 2018 Cohort
Supervisor: Patrick Farrell
- MATLAB Demonstrator (Tutor, MT 2019, 2020, 2021)
- B6.1 Numerical Solutions of Differential Equations (Tutor, MT 2020, 2021)
- Practical Numerical Analysis (TA, MT 2020, 2021)
- C6.4 Finite Element Methods (TA, HT 2021)
- Further Mathematical Methods (TA, MT 2019, 2020)
- C6.1 Numerical Linear Algebra (TA, MT 2019)
Efficient Approximation of Solutions of Parametric Linear TransportEquations by ReLU DNNs. Fabian Laakmann and Philipp Petersen. Advances in Computational Mathematics (2021)
An augmented Lagrangian preconditioner for themagnetohydrodynamics equations at high Reynolds and coupling numbers. Fabian Laakmann, Patrick Farrell and Lawrence Mitchell. SIAM Journal on Scientific Computing (2022)
Structure-preserving and helicity-conservative finite element approximations and preconditioning for the Hall MHD equations. Fabian Laakmann, Patrick Farrell and Kaibo Hu, arXiv:2202.11586
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem. Fabian Laakmann and Nicolas Boullé, arXiv:2211.12163
- Scatcherd Scholarship (2018-2022)
- Award for Best Master Result in Mathematics in 2017/18
- Award for Best Bachelor Result in Mathematics in 2015/16
- Germany Scholarship (Deutschlandstipendium) 2015-2017
My current research is focused on finite element methods and robust preconditioners for the magnetohydrodynamics equations. In particular, I'm working on the development and implementation of scalable, parameter-robust preconditioning techniques and multigrid methods that perform well at high Reynolds numbers. Moreover, I'm investigating structure-preserving and helicity-conservative finite element approximations for the Hall MHD euqations.