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math.NA2025★ 5 cited
Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze stable finite element approximations for Willmore flow of planar curves. The presented schemes are based on a novel weak formulation which combines an evolut…
math.NA2025★ 1 cited
Isoparametric finite element methods for mean curvature flow and surface diffusion
Harald Garcke, Robert Nürnberg, Simon Praetorius +1
We propose higher-order isoparametric finite element approximations for mean curvature flow and surface diffusion. The methods are natural extensions of the piecewise linear finite…