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Volumn 23, Issue 8, 2000, Pages 867-880

A least-squares penalty method algorithm for inverse problems of steady-state aquifer models

Author keywords

Aquifer models; Finite element method; Gauss Newton method; Inverse problem; LSQR algorithm; Parameter identification; Penalty method; Preconditioner; Scaling matrix

Indexed keywords

ALGORITHMS; AQUIFERS; FINITE ELEMENT METHOD; INVERSE PROBLEMS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0034047962     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(00)00018-X     Document Type: Article
Times cited : (18)

References (21)
  • 2
    • 0027335044 scopus 로고
    • Least squares solution and calibration of steady-state groundwater flow systems
    • Bentley L.R. Least squares solution and calibration of steady-state groundwater flow systems. Adv Wat Res. 14:1993;137-148.
    • (1993) Adv Wat Res , vol.14 , pp. 137-148
    • Bentley, L.R.1
  • 3
    • 84944838437 scopus 로고
    • Identification of parameters in unsteady open-channel flows
    • Becker L., Yeh W.W.-.G. Identification of parameters in unsteady open-channel flows. Wat Resour Res. 8:1972;956-965.
    • (1972) Wat Resour Res , vol.8 , pp. 956-965
    • Becker, L.1    Yeh, W.W.-G.2
  • 4
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 1. Maximum likelihood method incorporating prior information
    • Carrera J., Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions: 1. Maximum likelihood method incorporating prior information. Wat Resour Res. 22:1986;199-210.
    • (1986) Wat Resour Res , vol.22 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 5
    • 0022923349 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 2. Uniqueness, stability, and solution algorithm
    • Carrera J., Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions: 2. Uniqueness, stability, and solution algorithm. Wat Resour Res. 22:1986;211-227.
    • (1986) Wat Resour Res , vol.22 , pp. 211-227
    • Carrera, J.1    Neuman, S.P.2
  • 6
    • 0022923343 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 3. Application to synthetic and field data
    • Carrera J., Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions: 3. Application to synthetic and field data. Wat Resour Res. 22:1986;228-242.
    • (1986) Wat Resour Res , vol.22 , pp. 228-242
    • Carrera, J.1    Neuman, S.P.2
  • 8
    • 0026138024 scopus 로고
    • On the theory and practice of non-linear least-squares
    • Chavent G. On the theory and practice of non-linear least-squares. Adv Wat Res. 14:1991;55-63.
    • (1991) Adv Wat Res , vol.14 , pp. 55-63
    • Chavent, G.1
  • 9
    • 0020332321 scopus 로고
    • Incorporation of prior information on parameters into non-linear regression groundwater flow models, 1. Theory
    • Cooley R.L. Incorporation of prior information on parameters into non-linear regression groundwater flow models, 1. Theory. Wat Resour Res. 18:1982;965-976.
    • (1982) Wat Resour Res , vol.18 , pp. 965-976
    • Cooley, R.L.1
  • 10
  • 12
    • 0024219557 scopus 로고
    • Analysis of the inverse problem for transient unsaturated flow
    • Kool J.B., Parker J.C. Analysis of the inverse problem for transient unsaturated flow. Wat Resour Res. 24:1988;817-830.
    • (1988) Wat Resour Res , vol.24 , pp. 817-830
    • Kool, J.B.1    Parker, J.C.2
  • 13
    • 84992254530 scopus 로고    scopus 로고
    • The asymptotic properties of the least-squares penalty method solution to a class of nonlinear least-squares problems with equation constraints
    • In: Zeng Qing-cun, Li Ta-tsien et al., editors. Chengdu, August (in Chinese)
    • Li H. The asymptotic properties of the least-squares penalty method solution to a class of nonlinear least-squares problems with equation constraints. In: Zeng Qing-cun, Li Ta-tsien et al., editors. CSIAM Symposium of the Fifth Conference, Chengdu, August 1998:248-52 (in Chinese).
    • (1998) CSIAM Symposium of the Fifth Conference , pp. 248-252
    • Li, H.1
  • 14
    • 0024219466 scopus 로고
    • Sequential estimation of aquifer parameters
    • Lu A.H., Schmittroth F., Yeh W.W.-.G. Sequential estimation of aquifer parameters. Wat Resour Res. 24:1988;670-682.
    • (1988) Wat Resour Res , vol.24 , pp. 670-682
    • Lu, A.H.1    Schmittroth, F.2    Yeh, W.W.-G.3
  • 15
    • 0029667847 scopus 로고    scopus 로고
    • A reassessment of the ground water inverse problem
    • McLaughlin D., Townley L.R. A reassessment of the ground water inverse problem. Wat Resour Res. 32:1996;1131-1196.
    • (1996) Wat Resour Res , vol.32 , pp. 1131-1196
    • McLaughlin, D.1    Townley, L.R.2
  • 16
    • 0018651209 scopus 로고
    • A statistical approach to the inverse problem of aquifer hydrology, 1. Theory
    • Neumann S.P., Yakowitz S. A statistical approach to the inverse problem of aquifer hydrology, 1. Theory. Wat Resour Res. 15:1979;845-860.
    • (1979) Wat Resour Res , vol.15 , pp. 845-860
    • Neumann, S.P.1    Yakowitz, S.2
  • 17
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least-squares
    • Paige C.C., Saunders M.A. LSQR: an algorithm for sparse linear equations and sparse least-squares. ACM Trans Math Software. 8:1982;43-71.
    • (1982) ACM Trans Math Software , vol.8 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 18
    • 84976657333 scopus 로고
    • LSQR: Sparse linear equations and least-squares problems
    • Paige C.C., Saunders M.A. LSQR: sparse linear equations and least-squares problems. ACM Trans Math Software. 8:1982;195-209.
    • (1982) ACM Trans Math Software , vol.8 , pp. 195-209
    • Paige, C.C.1    Saunders, M.A.2
  • 21
    • 0022823154 scopus 로고
    • Review of parameter identification procedures in groundwater hydrology: The inverse problem
    • Yeh W.W.-G. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Wat Resour Res. 22:1986;95-108.
    • (1986) Wat Resour Res , vol.22 , pp. 95-108
    • Yeh, W.W.-G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.