2 papers
math.NA2025
Quasi-optimal error estimates for the approximation of stable stationary states of the elastic energy of inextensible curves
Sören Bartels, Balázs Kovács, Dominik Schneider
We establish local existence and a quasi-optimal error estimate for piecewise cubic minimizers to the bending energy under a discretized inextensibility constraint. In previous res…
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…