3 papers
math.NA2025
Error estimates for a surface finite element method for anisotropic mean curvature flow
Klaus Deckelnick, Harald Garcke, Balázs Kovács
Error estimates are proved for an evolving surface finite element semi-discretization for anisotropic mean curvature flow of closed surfaces. For the geometric surface flow, a syst…
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.OC2019
Sufficient conditions for unique global solutions in optimal control of semilinear equations with nonlinearity
A. Ahmad Ali, K. Deckelnick, M. Hinze
We consider a semilinear elliptic optimal control problem possibly subject to control and/or state constraints. Generalizing previous work we provide a condition which guaran…