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math.NA2020
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…
math.NA2019
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.…