3 papers
math.NA2026
Error estimates for -stable backward difference full discretizations of Willmore flow of closed surfaces
Nils Bullerjahn, Balázs Kovács
A proof of optimal-order -norm error estimates is given for -stable backward difference full discretizations (of order 1 and 2) of Willmore flow for closed two-dimensional…
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
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…