19 citations · 28 across the 7 of their papers we have counts for
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math.NA2022★ 1 cited
Discretisations and Preconditioners for Magnetohydrodynamics Models
Fabian Laakmann
The magnetohydrodynamics (MHD) equations are generally known to be difficult to solve numerically, due to their highly nonlinear structure and the strong coupling between the elect…
physics.flu-dyn2022★ 7 cited
Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem
Fabian Laakmann, Nicolas Boullé
We perform a bifurcation analysis of a two-dimensional magnetic Rayleigh--Bénard problem using a numerical technique called deflated continuation. Our aim is to study the influence…
math.NA2022
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations
Fabian Laakmann, Patrick E. Farrell, Kaibo Hu
We develop structure-preserving finite element methods for the incompressible, resistive Hall magnetohydrodynamics (MHD) equations. These equations incorporate the Hall current ter…