Walkington, Noel J. Algorithms for computing motion by mean curvature. (English) Zbl 0863.65061 SIAM J. Numer. Anal. 33, No. 6, 2215-2238 (1996). 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. Reviewer: J.D.P.Donnelly (Oxford) Cited in 13 Documents 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 Keywords:motion by mean curvature; surface motion; stability; numerical examples; finite element algorithm; Brakke flows PDF BibTeX XML Cite \textit{N. J. Walkington}, SIAM J. Numer. Anal. 33, No. 6, 2215--2238 (1996; Zbl 0863.65061) Full Text: DOI