@article{M2AN_1999__33_6_1203_0, author = {Deckelnick, Klaus and Dziuk, Gerhard}, title = {Discrete anisotropic curvature flow of graphs}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1203--1222}, publisher = {EDP-Sciences}, volume = {33}, number = {6}, year = {1999}, mrnumber = {1736896}, zbl = {0948.65138}, language = {en}, url = {http://www.numdam.org/item/M2AN_1999__33_6_1203_0/} }
TY - JOUR AU - Deckelnick, Klaus AU - Dziuk, Gerhard TI - Discrete anisotropic curvature flow of graphs JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1999 SP - 1203 EP - 1222 VL - 33 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/item/M2AN_1999__33_6_1203_0/ LA - en ID - M2AN_1999__33_6_1203_0 ER -
Deckelnick, Klaus; Dziuk, Gerhard. Discrete anisotropic curvature flow of graphs. ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 6, pp. 1203-1222. http://www.numdam.org/item/M2AN_1999__33_6_1203_0/
[1] Multiphase thermomechanics with interfacial structure 2, evolution of an isothermal interface Arch. Rational Mech. Anal. 108 (1989) 323-391. | MR | Zbl
and ,[2] Anisotropic motion by mean curvature in the context of Finsler geometry Hokkaido Math. J. 25 (1996) 537-566. | MR | Zbl
and ,[3] Approximation by finite element functions using local regularization RAIRO Anal. Numér. 9 (1975) 77-84. | Numdam | MR | Zbl
,[4] Convergence of a finite element method for non-parametric mean curvature flow. Numer. Math. 72 (1995) 197-222. | MR | Zbl
and ,[5] L∞-convergence of linear finite element approximation to nonlinear parabolic problems. SIAM J. Numer. Anal. 17 (1980) 663-674. | MR | Zbl
,[6] Motion of a graph by convexified energy. Hokkaido Math. J. 23 (1994) 185-212. | MR | Zbl
,[7] Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Numer. Math. 67 (1994) 41-70. | MR | Zbl
and ,[8] Non-parametric mean curvature evolution with boundary conditions. J. Differential Equations 77 (1989) 369-378. | MR | Zbl
,[9] Error estimates for a finite element approximation of a minimal surface. Math. Comp. 29 (1975) 343-349. | MR | Zbl
and ,[10] Linear and quasilinear equations of parabolic type. Amer. Math. Soc, Providence, R. I. (1968).
, and ,[11] The first initial-boundary value problem for quasilinear second order parabolic equations. Ann. Scuola. Norm. Su. Pisa. Cl. Sci. Ser. IV. 8 (1986) 347-387. | Numdam | MR | Zbl
,[12] Evolution of nonparametric surfaces with speed depending on curvature, II. The mean curvature case Preprint. | MR | Zbl
and ,[13] Graphics Programming. Environment Report 8, SFB 256, Bonn (1990).
, et al., GRAPE,[14] Geometric models of crystal growth. Acta Metall. Mater. 40 1443-1474 (1992).
, and ,