3 citations · 3 across the 5 of their papers we have counts for
7 papers
A priori error estimates for finite element approximations of regularized level set flows in higher norms
Axel Kröner, Heiko Kröner
This paper proves error estimates for conforming finite elements for equations which model the flow of surfaces by different powers of the mean curvature (this includes mean…
Definition and certain convergence properties of a two-scale method for Monge-Ampère type equations
Heiko Kröner
The Monge-Ampère equation arises in the theory of optimal transport. When more complicated cost functions are involved in the optimal transportation problem, which are motivated e.…
Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions
Heiko Kröner
Generalizing results of Chou and Wang \cite{1} we study the flows of the leaves of a foliation of consisting of uniformly convex hyp…
Optimal control of elliptic surface PDEs with pointwise bounds on the state
Ahmad Ahmad Ali, Michael Hinze, Heiko Kröner
We consider a linear-quadratic optimization problem with pointwise bounds on the state for which the constraint is given by the Laplace-Beltrami equation (to have uniqueness we add…
Finite element approximation of power mean curvature flow
Heiko Kröner
In [21] the evolution of hypersurfaces in with normal speed equal to a power of the mean curvature is considered and the levelset solution of the flow…
A note on inverse mean curvatrue flow in cosmological spacetimes
Heiko Kröner
In [8] Gerhardt proves longtime existence for the inverse mean curvature flow in globally hyperbolic Lorentzian manifolds with compact Cauchy hypersurface, which satisfy three main…