메뉴 건너뛰기




Volumn 91, Issue 3, 2002, Pages 423-452

A fully discrete numerical scheme for weighted mean curvature flow

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036017087     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100322     Document Type: Article
Times cited : (37)

References (15)
  • 1
    • 33847303953 scopus 로고
    • Multiphase thermomechanics with interfacial structure 2, evolution of an isothermal interface
    • Angenent, S. B., Gurtin, M. E.: Multiphase thermomechanics with interfacial structure 2, evolution of an isothermal interface. Arch. Rational Mech. Anal. 108, 323-391 (1989)
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 323-391
    • Angenent, S.B.1    Gurtin, M.E.2
  • 2
    • 0039387708 scopus 로고    scopus 로고
    • Anisotropic motion by mean curvature in the context of Finsler geometry
    • Bellettini, G., Paolini, M.: Anisotropic motion by mean curvature in the context of Finsler geometry. Hokkaido Math. J. 25, 537-566 (1996)
    • (1996) Hokkaido Math. J. , vol.25 , pp. 537-566
    • Bellettini, G.1    Paolini, M.2
  • 3
    • 21844481535 scopus 로고
    • Convergence of a finite element method for non-parametric mean curvature flow
    • Deckelnick, K., Dziuk, G.: Convergence of a finite element method for non-parametric mean curvature flow. Numer. Math. 72, 197-222 (1995)
    • (1995) Numer. Math. , vol.72 , pp. 197-222
    • Deckelnick, K.1    Dziuk, G.2
  • 4
    • 0033270723 scopus 로고    scopus 로고
    • Discrete anisotropic curvature flow of graphs
    • Deckelnick, K., Dziuk, G.: Discrete anisotropic curvature flow of graphs. Math. Modelling Numer. Anal. 33, 1203-1222 (1999)
    • (1999) Math. Modelling Numer. Anal. , vol.33 , pp. 1203-1222
    • Deckelnick, K.1    Dziuk, G.2
  • 5
    • 0012966640 scopus 로고    scopus 로고
    • Error estimates for a semi-implicit fully discrete finite element method scheme for the mean curvature flow of graphs
    • to appear in Interfaces and Free Boundaries
    • Deckelnick, K., Dziuk, G.: Error estimates for a semi-implicit fully discrete finite element method scheme for the mean curvature flow of graphs. CMAIA Research Report No. 99/07 (1999), to appear in Interfaces and Free Boundaries
    • (1999) CMAIA Research Report , vol.99 , Issue.7
    • Deckelnick, K.1    Dziuk, G.2
  • 6
    • 0013004213 scopus 로고    scopus 로고
    • Numerical schemes for the mean curvature flow of graphs
    • P. Argoul, M. Frémond, Q. S. Nguyen (Eds.): Dordrecht Boston London: Kluwer Academic Publishers
    • Dziuk, G.: Numerical schemes for the mean curvature flow of graphs. In: P. Argoul, M. Frémond, Q. S. Nguyen (Eds.): IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, pp. 63-70. Dordrecht Boston London: Kluwer Academic Publishers 1999
    • (1999) IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics , pp. 63-70
    • Dziuk, G.1
  • 7
    • 0001217234 scopus 로고    scopus 로고
    • Crystalline curvature flow of a graph in a variational setting
    • Elliott, C.M., Gardiner, A., Schaetzle, R.: Crystalline curvature flow of a graph in a variational setting. Adv. Math. Sci. Appl. 8(1), 425-460 (1998)
    • (1998) Adv. Math. Sci. Appl. , vol.8 , Issue.1 , pp. 425-460
    • Elliott, C.M.1    Gardiner, A.2    Schaetzle, R.3
  • 8
    • 0032329021 scopus 로고    scopus 로고
    • Numerical simulations of mean curvature flow in the presence of a nonconvex anisotropy
    • Fierro, F., Goglione, R., Paolini, M.: Numerical simulations of mean curvature flow in the presence of a nonconvex anisotropy. Math. Models Methods Appl. Sci. 8(4), 573-601 (1998)
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , Issue.4 , pp. 573-601
    • Fierro, F.1    Goglione, R.2    Paolini, M.3
  • 9
    • 84972506941 scopus 로고
    • Motion of a graph by convexified energy
    • Giga, Y.: Motion of a graph by convexified energy. Hokkaido Math. J. 23, 185-212 (1994)
    • (1994) Hokkaido Math. J. , vol.23 , pp. 185-212
    • Giga, Y.1
  • 10
    • 84951613405 scopus 로고
    • Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature
    • Girão, P.M., Kohn, R.V.: 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, 41-70 (1994)
    • (1994) Numer. Math. , vol.67 , pp. 41-70
    • Girão, P.M.1    Kohn, R.V.2
  • 11
    • 0000544188 scopus 로고
    • Non-parametric mean curvature evolution with boundary conditions
    • Huisken, G.: Non-parametric mean curvature evolution with boundary conditions. J. Differential Equations 77, 369-378 (1989)
    • (1989) J. Differential Equations , vol.77 , pp. 369-378
    • Huisken, G.1
  • 12
    • 0008069862 scopus 로고
    • The first initial-boundary value problem for quasilinear second order parabolic equations
    • Lieberman, G. A.: The first initial-boundary value problem for quasilinear second order parabolic equations. Ann. Sci. Norm. Sup. Pisa Ser. IV 8, 347-387 (1986)
    • (1986) Ann. Sci. Norm. Sup. Pisa Ser. IV , vol.8 , pp. 347-387
    • Lieberman, G.A.1
  • 13
    • 29144461281 scopus 로고
    • Evolution of nonparametric surfaces with speed depending on curvature II. The mean curvature case
    • Oliker, V.I., Uraltseva, N.N.: Evolution of nonparametric surfaces with speed depending on curvature II. The mean curvature case. Commun. Pure Appl. Math. 46(1), 97-135 (1993)
    • (1993) Commun. Pure Appl. Math. , vol.46 , Issue.1 , pp. 97-135
    • Oliker, V.I.1    Uraltseva, N.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.