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Volumn 193, Issue 1, 2006, Pages 243-268

Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R2

Author keywords

Finite element methods; Fractional advection dispersion equations; Fractional differential operators; Fractional diffusion equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; DISPERSIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 33646191893     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.06.005     Document Type: Article
Times cited : (250)

References (23)
  • 4
    • 33646178575 scopus 로고    scopus 로고
    • J.M. Boggs, L.M. Beard, W.R. Waldrop, Transport of tritium and four organic compounds during a natural-gradient experiment (made-2), Tech. Report EPRI TR-101998, Electric Power Research Institute, Pleasant Hill, California, 1993.
  • 5
    • 0027061589 scopus 로고
    • Field study of dispersion in a heterogeneous aquifer, 1, overview and site description
    • Boggs J.M., Young S.C., and Beard L.M. Field study of dispersion in a heterogeneous aquifer, 1, overview and site description. Water Resour. Res. 28 (1992) 3281-3291
    • (1992) Water Resour. Res. , vol.28 , pp. 3281-3291
    • Boggs, J.M.1    Young, S.C.2    Beard, L.M.3
  • 7
    • 0035679868 scopus 로고    scopus 로고
    • Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence models
    • Carreras B.A., Lynch V.E., and Zaslavsky G.M. Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence models. Phys. Plasmas 8 12 (2001) 5096-5103
    • (2001) Phys. Plasmas , vol.8 , Issue.12 , pp. 5096-5103
    • Carreras, B.A.1    Lynch, V.E.2    Zaslavsky, G.M.3
  • 8
    • 33646172403 scopus 로고    scopus 로고
    • V.J. Ervin, J.P. Roop, Variational formulation for the stationary fractional advection dispersion equation, Numer. Meth. P.D.E., 2004, accepted for publication.
  • 9
    • 33646175123 scopus 로고    scopus 로고
    • d, Numer. Meth. P.D.E., 2005, submitted for publication.
  • 10
    • 14644446063 scopus 로고    scopus 로고
    • Least squares finite element solution of a fractional order two-point boundary value problem
    • Fix G.J., and Roop J.P. Least squares finite element solution of a fractional order two-point boundary value problem. Comput. Math. Appl. 48 (2004) 1017-1033
    • (2004) Comput. Math. Appl. , vol.48 , pp. 1017-1033
    • Fix, G.J.1    Roop, J.P.2
  • 11
    • 1542425102 scopus 로고    scopus 로고
    • Numerical solution of the space fractional Fokker-Planck equation
    • Liu F., Ahn V., and Turner I. Numerical solution of the space fractional Fokker-Planck equation. J. Comp. Appl. Math. 166 (2004)
    • (2004) J. Comp. Appl. Math. , vol.166
    • Liu, F.1    Ahn, V.2    Turner, I.3
  • 12
    • 0036761104 scopus 로고    scopus 로고
    • Possible problems of scale dependency in applications of the three-dimensional fractional advection-dispersion equation to natural porous media
    • Lu S., Molz F.J., and Fix G.J. Possible problems of scale dependency in applications of the three-dimensional fractional advection-dispersion equation to natural porous media. Water Resour. Res. 38 (2002) 1165-1171
    • (2002) Water Resour. Res. , vol.38 , pp. 1165-1171
    • Lu, S.1    Molz, F.J.2    Fix, G.J.3
  • 13
    • 0001505107 scopus 로고    scopus 로고
    • Multidimensional advection and fractional dispersion
    • Meerschaert M.M., Benson D.A., and Baeumer B. Multidimensional advection and fractional dispersion. Phys. Rev. E 59 5 (1999) 5026-5028
    • (1999) Phys. Rev. E , vol.59 , Issue.5 , pp. 5026-5028
    • Meerschaert, M.M.1    Benson, D.A.2    Baeumer, B.3
  • 14
    • 25444516522 scopus 로고    scopus 로고
    • Vector Grünwald formula for fractional derivatives
    • Meerschaert M.M., and Mortenson J. Vector Grünwald formula for fractional derivatives. Fract. Calc. Appl. Anal. 7 (2004) 61-81
    • (2004) Fract. Calc. Appl. Anal. , vol.7 , pp. 61-81
    • Meerschaert, M.M.1    Mortenson, J.2
  • 15
    • 33646204880 scopus 로고    scopus 로고
    • M.M. Meerschaert, H.P. Scheffler, C. Tadjeran, Finite difference methods for two-dimensional fractional dispersion equations, J. Comp. Phys., to appear.
  • 16
    • 4444368867 scopus 로고    scopus 로고
    • Finite difference approximations for fractional advection-dispersion flow equations
    • Meerschaert M.M., and Tadjeran C. Finite difference approximations for fractional advection-dispersion flow equations. J. Comp. Appl. Math 172 (2004) 65-77
    • (2004) J. Comp. Appl. Math , vol.172 , pp. 65-77
    • Meerschaert, M.M.1    Tadjeran, C.2
  • 17
    • 33646168756 scopus 로고    scopus 로고
    • M.M. Meerschaert, C. Tadjeran, Finite difference approximations for two-sided space-fractional partial differential equations, Appl. Numer. Math., to appear.
  • 21
    • 33646173462 scopus 로고    scopus 로고
    • S. Shen, F. Liu, Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends, Proceedings of the 12th Biennial Computational Techniques and Applications Conference, The University of Melbourne, Victoria, Australia.
  • 22
    • 0000885234 scopus 로고
    • Lévy dynamics of enhanced diffusion: application to turbulence
    • Shlesinger M.F., West B.J., and Klafter J. Lévy dynamics of enhanced diffusion: application to turbulence. Phys. Rev. Lett. 58 11 (1987) 1100-1103
    • (1987) Phys. Rev. Lett. , vol.58 , Issue.11 , pp. 1100-1103
    • Shlesinger, M.F.1    West, B.J.2    Klafter, J.3
  • 23
    • 0001554548 scopus 로고
    • Self-similar transport in incomplete chaos
    • Zaslavsky G.M., Stevens D., and Weitzner H. Self-similar transport in incomplete chaos. Phys. Rev. E 48 3 (1993) 1683-1694
    • (1993) Phys. Rev. E , vol.48 , Issue.3 , pp. 1683-1694
    • Zaslavsky, G.M.1    Stevens, D.2    Weitzner, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.