Quadratic Rate of Convergence for Curvature Dependent Smooth Interfaces: a Simple Proof1

@inproceedings{Nochetto1994QuadraticRO,
  title={Quadratic Rate of Convergence for Curvature Dependent Smooth Interfaces: a Simple Proof1},
  author={Ricardo H. Nochetto},
  year={1994}
}
We consider the approximation of curvature dependent geometric front evolutions by singularly perturbed parabolic double obstacle problems with small parameter ". We give a simpliied proof of optimal interface error estimates of order O(" 2), valid in the smooth regime, which is based on constructing precise barriers, perturbing the forcing term and exploiting the maximum principle.