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Volumn 56, Issue 9, 2006, Pages 1136-1146

Convergence of a first order scheme for a non-local eikonal equation

Author keywords

Crandall Lions error estimate; Eikonal equation; Finite difference scheme; Hamilton Jacobi equations; Non local equation

Indexed keywords

APPROXIMATION THEORY; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33745699475     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2006.03.002     Document Type: Article
Times cited : (14)

References (11)
  • 1
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    • O. Alvarez, E. Carlini, R. Monneau, E. Rouy, A convergent scheme for a non local Hamilton-Jacobi equation modelling dislocation dynamics, Numerische Matematik, submitted for publication
  • 2
    • 1842843706 scopus 로고    scopus 로고
    • Existence et unicité en temps court d'une solution de viscosité discontinue d'une équation de Hamilton-Jacobi non locale décrivant la dynamique d'une dislocation
    • Alvarez O., Hoch P., Le Bouar Y., and Monneau R. Existence et unicité en temps court d'une solution de viscosité discontinue d'une équation de Hamilton-Jacobi non locale décrivant la dynamique d'une dislocation. C. R. Acad. Sci. Paris, Ser. I 338 (2004) 679-684
    • (2004) C. R. Acad. Sci. Paris, Ser. I , vol.338 , pp. 679-684
    • Alvarez, O.1    Hoch, P.2    Le Bouar, Y.3    Monneau, R.4
  • 3
    • 33745691114 scopus 로고    scopus 로고
    • O. Alvarez, P. Hoch, Y. Le Bouar, R. Monneau, Dislocation dynamics: Short time existence and uniqueness of the solution, Archive for Rational Mechanics and Analysis, in press
  • 5
    • 84966245867 scopus 로고
    • Two approximations of solutions of Hamilton-Jacobi equations
    • Crandall G., and Lions P.L. Two approximations of solutions of Hamilton-Jacobi equations. Math. Comp. 167 (1984) 1-19
    • (1984) Math. Comp. , vol.167 , pp. 1-19
    • Crandall, G.1    Lions, P.L.2
  • 6
    • 0022693379 scopus 로고
    • On existence and uniqueness of solutions of Hamilton-Jacobi equations
    • Crandall M.G., and Lions P.-L. On existence and uniqueness of solutions of Hamilton-Jacobi equations. Nonlinear Anal. 10 (1986) 353-370
    • (1986) Nonlinear Anal. , vol.10 , pp. 353-370
    • Crandall, M.G.1    Lions, P.-L.2
  • 7
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • Crandall G., Evans L.C., and Lions P.L. Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 282 (1984) 487-502
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, G.1    Evans, L.C.2    Lions, P.L.3
  • 8
    • 0042709307 scopus 로고    scopus 로고
    • An approximation scheme for evolutive Hamilton-Jacobi equations. Stochastic analysis, control, optimization and applications
    • Birkhäuser Boston, Boston, MA
    • Falcone M., and Giorgi T. An approximation scheme for evolutive Hamilton-Jacobi equations. Stochastic analysis, control, optimization and applications. Control Found. Appl. (1999), Birkhäuser Boston, Boston, MA 289-303
    • (1999) Control Found. Appl. , pp. 289-303
    • Falcone, M.1    Giorgi, T.2
  • 9
    • 0037137981 scopus 로고    scopus 로고
    • Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods
    • Falcone M., and Ferretti R. Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods. J. Comput. Phys. 175 2 (2002) 559-575
    • (2002) J. Comput. Phys. , vol.175 , Issue.2 , pp. 559-575
    • Falcone, M.1    Ferretti, R.2
  • 10
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi
    • Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi. J. Comput. Phys. 79 (1988) 12-49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 11
    • 0026880997 scopus 로고
    • A viscosity solutions approach to shape-from-shading
    • Rouy E., and Tourin A. A viscosity solutions approach to shape-from-shading. SIAM J. Numer. Anal. 29 3 (1992) 867-884
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.3 , pp. 867-884
    • Rouy, E.1    Tourin, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.