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Volumn 161, Issue 2, 2000, Pages 512-536

A Fast Modular Semi-Lagrangian Method for Moving Interfaces

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGE MULTIPLIERS;

EID: 0141547352     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6508     Document Type: Article
Times cited : (52)

References (23)
  • 1
    • 84980076280 scopus 로고
    • On the solution of nonlinear hyperbolic differential equations by finite differences
    • R. Courant, E. Isaacson, and M. Rees, On the solution of nonlinear hyperbolic differential equations by finite differences, Comm. Pure Appl. Math. 5, 243 (1952).
    • (1952) Comm. Pure Appl. Math. , vol.5 , pp. 243
    • Courant, R.1    Isaacson, E.2    Rees, M.3
  • 3
    • 84972528479 scopus 로고
    • The heat equation shrinks embedded plane curves to round points
    • M. A. Grayson, The heat equation shrinks embedded plane curves to round points, J. Diff. Geom. 26, 285 (1987).
    • (1987) J. Diff. Geom. , vol.26 , pp. 285
    • Grayson, M.A.1
  • 4
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes
    • A. Harten, S. Osher, B. Engquist, and S. R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes, J. Camput. Phys. 71, 231 (1987).
    • (1987) J. Camput. Phys. , vol.71 , pp. 231
    • Harten, A.1    Osher, S.2    Engquist, B.3    Chakravarthy, S.R.4
  • 7
    • 0024194194 scopus 로고
    • A quantitative analysis of the dissipation inherent in semi-Lagrangian advection
    • J. D. McCalpin, A quantitative analysis of the dissipation inherent in semi-Lagrangian advection, Mon. Weather Rev. 116, 2330 (1988).
    • (1988) Mon. Weather Rev. , vol.116 , pp. 2330
    • McCalpin, J.D.1
  • 8
    • 0024883616 scopus 로고
    • A comparison of adaptive refinement techniques for elliptic problems
    • W. F. Mitchell, A comparison of adaptive refinement techniques for elliptic problems, ACM Trans. Math. Software 15, 326 (1989).
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 326
    • Mitchell, W.F.1
  • 9
    • 0000626119 scopus 로고
    • On shape-preserving interpolation and semi-Lagrangian transport
    • P. J. Rasch and D. L. Williamson, On shape-preserving interpolation and semi-Lagrangian transport, SIAM J. Sci. Stat. Comput. 11, 656 (1990).
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 656
    • Rasch, P.J.1    Williamson, D.L.2
  • 10
    • 0000655661 scopus 로고
    • Crystal growth and dendritic solidification
    • J. D. Sethian and J. Strain, Crystal growth and dendritic solidification, J. Comput. Phys. 98, 231 (1992).
    • (1992) J. Comput. Phys. , vol.98 , pp. 231
    • Sethian, J.D.1    Strain, J.2
  • 12
    • 0000037511 scopus 로고
    • The multidimensional positive definite advection transport algorithm: Nonoscillatory option
    • P. K. Smolarkiewicz and W. W. Grabowski, The multidimensional positive definite advection transport algorithm: Nonoscillatory option, J. Comput. Phys. 86, 355 (1990).
    • (1990) J. Comput. Phys. , vol.86 , pp. 355
    • Smolarkiewicz, P.K.1    Grabowski, W.W.2
  • 13
    • 0027010079 scopus 로고
    • A class of semi-Lagrangian approximations for fluids
    • P. K. Smolarkiewicz and J. Pudykiewicz, A class of semi-Lagrangian approximations for fluids, J. Atmos. Sci. 49, 2082 (1992).
    • (1992) J. Atmos. Sci. , vol.49 , pp. 2082
    • Smolarkiewicz, P.K.1    Pudykiewicz, J.2
  • 14
    • 0026290566 scopus 로고
    • Monotone advection on the sphere - An Eulerian versus semi-Lagrangian approach
    • P. K. Smolarkiewicz and P. J. Rasch, Monotone advection on the sphere - An Eulerian versus semi-Lagrangian approach, J. Atmos. Sci. 48, 793 (1991).
    • (1991) J. Atmos. Sci. , vol.48 , pp. 793
    • Smolarkiewicz, P.K.1    Rasch, P.J.2
  • 15
    • 0026291228 scopus 로고
    • Semi-Lagrangian schemes for atmospheric models - A review
    • A. Staniforth and J. Côté, Semi-Lagrangian schemes for atmospheric models - A review, Mon. Weather Rev. 119, 2206 (1991).
    • (1991) Mon. Weather Rev. , vol.119 , pp. 2206
    • Staniforth, A.1    Côté, J.2
  • 17
    • 0010965285 scopus 로고    scopus 로고
    • Fast adaptive 2D vortex methods
    • J. Strain, Fast adaptive 2D vortex methods, J. Comput. Phys. 132, 108 (1997).
    • (1997) J. Comput. Phys. , vol.132 , pp. 108
    • Strain, J.1
  • 18
    • 0001155253 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. 152, 664 (1999).
    • (1999) J. Comput. Phys. , vol.152 , pp. 664
    • Strain, J.1
  • 19
    • 0346156219 scopus 로고    scopus 로고
    • Semi-Lagrangian methods for level set equations
    • J. Strain, Semi-Lagrangian methods for level set equations, J. Comput. Phys. 151, 498 (1999).
    • (1999) J. Comput. Phys. , vol.151 , pp. 498
    • Strain, J.1
  • 20
    • 0000151738 scopus 로고    scopus 로고
    • Tree methods for moving interfaces
    • J. Strain, Tree methods for moving interfaces, J. Comput. Phys. 151, 616 (1999).
    • (1999) J. Comput. Phys. , vol.151 , pp. 616
    • Strain, J.1
  • 22
    • 0001700852 scopus 로고
    • The classical field theories
    • edited by S. Flügge Springer-Verlag, Berlin
    • C. Truesdell and R. A. Toupin, The classical field theories, in Handbuch der Physik III/1, edited by S. Flügge (Springer-Verlag, Berlin, 1960).
    • (1960) Handbuch der Physik III/1
    • Truesdell, C.1    Toupin, R.A.2
  • 23
    • 77956456169 scopus 로고
    • Analytic extensions of differentiable functions defined in closed sets
    • H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Am. Math. Soc. 36, 63 (1934).
    • (1934) Trans. Am. Math. Soc. , vol.36 , pp. 63
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.