Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications
Abstract
We analyse a finite difference scheme for the approximation of level set solutions to mean curvature flow. The scheme which was proposed by Crandall & Lions (Numer. Math. 75, (1996) 17-41) is a monotone and consistent discretization of a regularized version of the underlying problem. We derive an L[infin]-error bound between the numerical solution and the viscosity solution to the level set equation provided that the space and time step sizes are appropriately related to the regularization parameter.
Fields of Study & Subjects
Advanced Numerical Methods in Computational Mathematics
Computational Geometry and Mesh Generation
Computational Fluid Dynamics and Aerodynamics
Publication details
- Journal / source
- Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Publication date
- 21 September 2026
- Language
- EN