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Volumn 151, Issue 2, 1999, Pages 616-648

Tree Methods for Moving Interfaces

Author keywords

Adaptive mesh refinement; CIR scheme; Fast algorithms; Level sets; Motion by curvature; Moving interfaces; Semi Lagrangian methods

Indexed keywords

LAGRANGE MULTIPLIERS; MESH GENERATION;

EID: 0000151738     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6205     Document Type: Article
Times cited : (138)

References (26)
  • 2
    • 84980076280 scopus 로고
    • On the solution of nonlinear hyperbolic differential equations by finite differences
    • Courant R., Isaacson E., Rees M. On the solution of nonlinear hyperbolic differential equations by finite differences. Comm. Pure Appl. Math. 5:1952;243.
    • (1952) Comm. Pure Appl. Math. , vol.5 , pp. 243
    • Courant, R.1    Isaacson, E.2    Rees, M.3
  • 4
    • 84972528479 scopus 로고
    • The heat equation shrinks embedded plane curves to round points
    • Grayson M. A. The heat equation shrinks embedded plane curves to round points. J. Differential Geom. 26:1987;285.
    • (1987) J. Differential Geom. , vol.26 , pp. 285
    • Grayson, M.A.1
  • 5
    • 0342583796 scopus 로고
    • Instabilities and pattern formation in crystal growth
    • Langer J. S. Instabilities and pattern formation in crystal growth. Rev. Modern Phys. 52:1980;1.
    • (1980) Rev. Modern Phys. , vol.52 , pp. 1
    • Langer, J.S.1
  • 7
    • 0030549637 scopus 로고    scopus 로고
    • A compact piecewise-linear Voronoi diagram for convex sites in the plane
    • McAllister M., Kirkpatrick D., Snoeyink J. A compact piecewise-linear Voronoi diagram for convex sites in the plane. Discrete Comput. Geom. 15:1996;73.
    • (1996) Discrete Comput. Geom. , vol.15 , pp. 73
    • McAllister, M.1    Kirkpatrick, D.2    Snoeyink, J.3
  • 8
    • 0001011924 scopus 로고    scopus 로고
    • The Wulff shape as the asymptotic limit of a growing crystal interface
    • Osher S., Merriman B. The Wulff shape as the asymptotic limit of a growing crystal interface. Asian J. Math. 1:1997;560.
    • (1997) Asian J. Math. , vol.1 , pp. 560
    • Osher, S.1    Merriman, B.2
  • 9
    • 44749084234 scopus 로고
    • Front propagation with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S. J., Sethian J. A. Front propagation with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:1988;12.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.J.1    Sethian, J.A.2
  • 10
    • 0000626119 scopus 로고
    • On shape-preserving interpolation and semi-Lagrangian transport
    • Rasch P. J., Williamson D. L. On shape-preserving interpolation and semi-Lagrangian transport. SIAM J. Sci. Stat. Comput. 11:1990;656.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 656
    • Rasch, P.J.1    Williamson, D.L.2
  • 11
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • Schmidt A. Computation of three dimensional dendrites with finite elements. J. Comput. Phys. 125:1996;293.
    • (1996) J. Comput. Phys. , vol.125 , pp. 293
    • Schmidt, A.1
  • 13
    • 0000655661 scopus 로고
    • Crystal growth and dendritic solidification
    • Sethian J. A., Strain J. Crystal growth and dendritic solidification. J. Comput. Phys. 98:1992;231.
    • (1992) J. Comput. Phys. , vol.98 , pp. 231
    • Sethian, J.A.1    Strain, J.2
  • 14
    • 0027010079 scopus 로고
    • A class of semi-Lagrangian approximations for fluids
    • Smolarkiewicz P. K., Pudykiewicz J. A class of semi-Lagrangian approximations for fluids. J. Atmos. Sci. 49:1992;2082.
    • (1992) J. Atmos. Sci. , vol.49 , pp. 2082
    • Smolarkiewicz, P.K.1    Pudykiewicz, J.2
  • 15
    • 0026291228 scopus 로고
    • Semi-Lagrangian schemes for atmospheric models - A review
    • Staniforth A., Côté J. Semi-Lagrangian schemes for atmospheric models - A review. Monthly Weather Rev. 119:1991;2206.
    • (1991) Monthly Weather Rev. , vol.119 , pp. 2206
    • Staniforth, A.1    Côté, J.2
  • 17
    • 0000362889 scopus 로고
    • A boundary integral approach to unstable solidification
    • Strain J. A boundary integral approach to unstable solidification. J. Comput. Phys. 85:1989;342.
    • (1989) J. Comput. Phys. , vol.85 , pp. 342
    • Strain, J.1
  • 18
    • 85189850999 scopus 로고    scopus 로고
    • Fast tree-based redistancing for level set computations
    • J. Strain, Fast tree-based redistancing for level set computations, J. Comput. Phys.
    • J. Comput. Phys.
    • Strain, J.1
  • 19
    • 85189844396 scopus 로고    scopus 로고
    • Semi-Lagrangian methods for level set equations
    • J. Strain, Semi-Lagrangian methods for level set equations, J. Comput. Phys.
    • J. Comput. Phys.
    • Strain, J.1
  • 20
    • 0346755280 scopus 로고    scopus 로고
    • Modular methods for moving interfaces
    • J. Strain, Modular methods for moving interfaces, J. Comput. Phys.
    • J. Comput. Phys.
    • Strain, J.1
  • 21
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:1994;146.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 24
    • 0024813204 scopus 로고
    • Two-dimensional semi-Lagrangian transport with shape-preserving interpolation
    • Williamson D. L., Rasch P. J. Two-dimensional semi-Lagrangian transport with shape-preserving interpolation. Monthly Weather Rev. 117:1989;102.
    • (1989) Monthly Weather Rev. , vol.117 , pp. 102
    • Williamson, D.L.1    Rasch, P.J.2
  • 25
    • 0001421454 scopus 로고
    • Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Krystallflachen
    • Wulff G. Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Krystallflachen. Zeit. Krystall. Min. 34:1901;449.
    • (1901) Zeit. Krystall. Min. , vol.34 , pp. 449
    • Wulff, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.