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Volumn 35, Issue 4, 1998, Pages 205-224

Numerical approximation for the mean curvature flow with nucleation using implicit time-stepping: An adaptive algorithm

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; NUCLEATION;

EID: 0042756414     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100920050017     Document Type: Article
Times cited : (4)

References (17)
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    • Almgren, F.1    Taylor, J.E.2    Wang, L.3
  • 3
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    • An isotropic motion by mean curvature in the context of Finsler geometry
    • Bellettini, G., Paolini, M.: An isotropic 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
  • 5
    • 0039598295 scopus 로고
    • Numerical minimization of functionals with curvature by convex approximations
    • Bandle, C. et al. (eds.): Progress in partial differential equations: Calculus of variations, applications. Harlow: Longman
    • Bellettini, G., Paolini, M., Verdi, C.: Numerical minimization of functionals with curvature by convex approximations. In: Bandle, C. et al. (eds.): Progress in partial differential equations: Calculus of variations, applications. (Pitman Res. Notes Math. Ser. 267) Harlow: Longman 1992, pp. 124-138
    • (1992) Pitman Res. Notes Math. Ser. , vol.267 , pp. 124-138
    • Bellettini, G.1    Paolini, M.2    Verdi, C.3
  • 7
    • 34250882899 scopus 로고
    • Local mesh refinement in 2 and 3 dimensions
    • Bänsch, L.: Local mesh refinement in 2 and 3 dimensions. Impact Comput. Sci. Engrg. 3, 181-191 (1991)
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 181-191
    • Bänsch, L.1
  • 8
    • 0003664367 scopus 로고
    • Adaptive finite-element techniques for Navier-Stokes equations and other transient problems. Adaptive finite and boundary element methods
    • Bänsch, L.: Adaptive finite-element techniques for Navier-Stokes equations and other transient problems. Adaptive finite and boundary element methods. Southampton: Comput. Mech. (1993), pp. 47-76
    • (1993) Southampton: Comput. Mech. , pp. 47-76
    • Bänsch, L.1
  • 9
    • 51249169346 scopus 로고
    • Finite element minimization of curvature functionals with anisotropy
    • Fierro, F., Goglione, R., Paolini, M.: Finite element minimization of curvature functionals with anisotropy. Calcolo 31, 191-210 (1994)
    • (1994) Calcolo , vol.31 , pp. 191-210
    • Fierro, F.1    Goglione, R.2    Paolini, M.3
  • 10
    • 0039594273 scopus 로고    scopus 로고
    • Numerical evidence of fattening for the mean curvature flow
    • Fierro, F., Paolini, M.: Numerical evidence of fattening for the mean curvature flow. Math. Models Methods Appl. Sci. 6, 793-813 (1996)
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , pp. 793-813
    • Fierro, F.1    Paolini, M.2
  • 11
    • 0000500198 scopus 로고
    • Curve shortening makes convex curves circular
    • Gage, M.E.: Curve shortening makes convex curves circular. Invent. Math. 76, 357-364 (1984)
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    • Gage, M.E.1
  • 12
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    • The heat equation shrinking convex plane curves
    • Gage, M.L., Hamilton, R.S.: The heat equation shrinking convex plane curves. J. Differential Geom. 23, 69-96 (1986)
    • (1986) J. Differential Geom. , vol.23 , pp. 69-96
    • Gage, M.L.1    Hamilton, R.S.2
  • 15
    • 0030076830 scopus 로고    scopus 로고
    • A dynamic mesh algorithm for curvature dependent evolving interfaces
    • Nochetto, R.H., Paolini, M., Verdi, C.: A dynamic mesh algorithm for curvature dependent evolving interfaces. J. Comput. Phys. 123, 296-310 (1996)
    • (1996) J. Comput. Phys. , vol.123 , pp. 296-310
    • Nochetto, R.H.1    Paolini, M.2    Verdi, C.3
  • 16
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    • A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations
    • Verfürth, R.: A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations. Math. Comp. 62, 445-475 (1994)
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    • Verfürth, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.