## Algorithms for computing motion by mean curvature.(English)Zbl 0863.65061

The author proposes a finite element algorithm for computing the motion of a surface whose motion is governed by its mean curvature. The algorithm is based on level sets. Stability is proved in $$L^\infty$$ and $$W^{1,1}$$ and existence is deduced. A connection with Brakke flows is shown. Numerical examples are given.

### MSC:

 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 35K70 Ultraparabolic equations, pseudoparabolic equations, etc. 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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