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math.NA2025
Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves
Sören Bartels, Klaus Deckelnick, Dominik Schneider
A space-discretization for the elastic flow of inextensible curves is devised and quasi-optimal convergence of the corresponding semi-discrete problem is proved for a suitable disc…
math.NA2025
Second order in time finite element schemes for curve shortening flow and curve diffusion
Klaus Deckelnick, Robert Nürnberg
We prove optimal error bounds for a second order in time finite element approximation of curve shortening flow in possibly higher codimension. In addition, we introduce a second or…