메뉴 건너뛰기




Volumn 26, Issue 1, 2010, Pages 61-80

The backward group preserving scheme for 1D backward in time advection-dispersion equation

Author keywords

Advection dispersion equation; Backward group preserving scheme; Groundwater contaminant distribution; Ill posed problem; Inverse problem

Indexed keywords


EID: 73449138290     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20415     Document Type: Article
Times cited : (21)

References (15)
  • 1
    • 0020767488 scopus 로고
    • Identifying sources of groundwater pollution: an optimization approach
    • 1 S. M. Gorelick, B. E. Evans, and I. Remson, Identifying sources of groundwater pollution: an optimization approach, Water Resour Res 19 (1983), 779–790.
    • (1983) Water Resour Res , vol.19 , pp. 779-790
    • Gorelick, S.M.1    Evans, B.E.2    Remson, I.3
  • 2
    • 0027009117 scopus 로고
    • Simultaneous parameter estimation and contaminant source characterization for coupled groundwater flow and contaminant transport modeling
    • 2 B. J. Wagner, Simultaneous parameter estimation and contaminant source characterization for coupled groundwater flow and contaminant transport modeling, J Hydrol 135 (1992), 275–303.
    • (1992) J Hydrol , vol.135 , pp. 275-303
    • Wagner, B.J.1
  • 3
    • 0007366367 scopus 로고    scopus 로고
    • The marching‐jury backward beam equation method and its application to backtracking non‐reactive plumes in groundwater, Ph.D. Dissertation
    • 3 J. Atmadja, The marching‐jury backward beam equation method and its application to backtracking non‐reactive plumes in groundwater, Ph.D. Dissertation, Columbia University, New York, 2001.
    • (2001)
    • Atmadja, J.1
  • 4
    • 0035653415 scopus 로고    scopus 로고
    • State of the art report on mathematical methods for groundwater pollution source identification
    • 4 J. Atmadja and A. C. Bagtzoglou, State of the art report on mathematical methods for groundwater pollution source identification, Environ Forensic 2 (2001), 205–214.
    • (2001) Environ Forensic , vol.2 , pp. 205-214
    • Atmadja, J.1    Bagtzoglou, A.C.2
  • 5
    • 0034918670 scopus 로고    scopus 로고
    • Pollution source identification in heterogeneous porous media
    • 5 J. Atmadja and A. C. Bagtzoglou, Pollution source identification in heterogeneous porous media, Water Resour Res 37 (2001), 2113–2125.
    • (2001) Water Resour Res , vol.37 , pp. 2113-2125
    • Atmadja, J.1    Bagtzoglou, A.C.2
  • 6
    • 17944384926 scopus 로고    scopus 로고
    • Marching‐jury backward beam equation and quasi‐reversibility methods for hydrologic inversion: application to contaminant plume spatial distribution recovery
    • 6 J. Atmadja and A. C. Bagtzoglou, Marching‐jury backward beam equation and quasi‐reversibility methods for hydrologic inversion: application to contaminant plume spatial distribution recovery, Water Resour Res 39 (2003), 1038–1051.
    • (2003) Water Resour Res , vol.39 , pp. 1038-1051
    • Atmadja, J.1    Bagtzoglou, A.C.2
  • 7
    • 33646850601 scopus 로고    scopus 로고
    • Past cone dynamics and backward group preserving schemes for backward heat conduction problems
    • 7 C.‐S. Liu, C.‐W. Chang, and J.‐R. Chang, Past cone dynamics and backward group preserving schemes for backward heat conduction problems, Comput Model Eng Sci 12 (2006), 67–81.
    • (2006) Comput Model Eng Sci , vol.12 , pp. 67-81
    • Liu, C.‐S.1    Chang, C.‐W.2    Chang, J.‐R.3
  • 8
    • 33646834641 scopus 로고    scopus 로고
    • An efficient backward group preserving scheme for the backward in time Burgers equation
    • 8 C.‐S. Liu, An efficient backward group preserving scheme for the backward in time Burgers equation, Comput Model Eng Sci 12 (2006), 55–65.
    • (2006) Comput Model Eng Sci , vol.12 , pp. 55-65
    • Liu, C.‐S.1
  • 9
    • 0035480574 scopus 로고    scopus 로고
    • Cone of non‐linear dynamical system and group preserving schemes
    • 9 C.‐S. Liu, Cone of non‐linear dynamical system and group preserving schemes, Int J Non‐Linear Mech 36 (2001), 1047–1068.
    • (2001) Int J Non‐Linear Mech , vol.36 , pp. 1047-1068
    • Liu, C.‐S.1
  • 10
    • 84966213190 scopus 로고
    • Time discretization in the backward solution of parabolic equations, II
    • 10 L. Eldén, Time discretization in the backward solution of parabolic equations, II, Math Comput 39 (1982), 69–84.
    • (1982) Math Comput , vol.39 , pp. 69-84
    • Eldén, L.1
  • 11
    • 0033096606 scopus 로고    scopus 로고
    • A comparison of some inverse methods for estimating the initial condition of the heat equation
    • 11 W. B. Muniz, H. F. de Campos Velho, and F. M. Ramos, A comparison of some inverse methods for estimating the initial condition of the heat equation, J Comput Appl Math 103 (1999), 145–163.
    • (1999) J Comput Appl Math , vol.103 , pp. 145-163
    • Muniz, W.B.1    de Campos Velho, H.F.2    Ramos, F.M.3
  • 12
    • 0342520839 scopus 로고    scopus 로고
    • Entropy‐ and Tikhonov‐based regularization techniques applied to the backward heat equation
    • 12 W. B. Muniz, F. M. Ramos, and H. F. de Campos Velho, Entropy‐ and Tikhonov‐based regularization techniques applied to the backward heat equation, Int J Comput Math 40 (2000), 1071–1084.
    • (2000) Int J Comput Math , vol.40 , pp. 1071-1084
    • Muniz, W.B.1    Ramos, F.M.2    de Campos Velho, H.F.3
  • 13
    • 0242468019 scopus 로고    scopus 로고
    • Different approaches for the solution of a backward heat conduction problem
    • 13 L. D. Chiwiacowsky and H. F. de Campos Velho, Different approaches for the solution of a backward heat conduction problem, Inv Prob Eng 11 (2003), 471–494.
    • (2003) Inv Prob Eng , vol.11 , pp. 471-494
    • Chiwiacowsky, L.D.1    de Campos Velho, H.F.2
  • 14
    • 33847712471 scopus 로고    scopus 로고
    • A new shooting method for quasi‐boundary regularization of backward heat conduction problems
    • 14 J.‐R. Chang, C.‐S. Liu, and C.‐W. Chang, A new shooting method for quasi‐boundary regularization of backward heat conduction problems, Int J Heat Mass Transfer 50 (2007), 2325–2332.
    • (2007) Int J Heat Mass Transfer , vol.50 , pp. 2325-2332
    • Chang, J.‐R.1    Liu, C.‐S.2    Chang, C.‐W.3
  • 15
    • 33144471291 scopus 로고    scopus 로고
    • A Markov random field model of contamination source identification in porous media flow
    • 15 J. Wang and N. Zabaras, A Markov random field model of contamination source identification in porous media flow, Int J Heat Mass Transfer 49 (2006), 939–950.
    • (2006) Int J Heat Mass Transfer , vol.49 , pp. 939-950
    • Wang, J.1    Zabaras, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.