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Volumn 29, Issue 3, 1999, Pages 343-361

A numerical eigenvalue study of preconditioned non-equilibrium transport equations

Author keywords

Finite elements; Non equilibrium transport; Non symmetric eigenproblem; Projection methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; IMPURITIES; INTEGRATION; MATHEMATICAL MODELS; POROUS MATERIALS;

EID: 0033558328     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990215)29:3<343::AID-FLD789>3.0.CO;2-W     Document Type: Article
Times cited : (2)

References (33)
  • 1
    • 0006467594 scopus 로고
    • Numerical integration methods for the dual-porosity model in sorbing porous media
    • A. Peters, G. Wittum, B. Herrling, U. Meissner, C.A. Brebbia, W.G. Gray and G.F. Pinder (eds.), Kluwer, Dordrecht
    • G. Gambolati, C. Gallo and C. Paniconi, 'Numerical integration methods for the dual-porosity model in sorbing porous media', in A. Peters, G. Wittum, B. Herrling, U. Meissner, C.A. Brebbia, W.G. Gray and G.F. Pinder (eds.), Computational Methods in Water Resources X, vol. 1, Kluwer, Dordrecht, 1994, pp. 621-628.
    • (1994) Computational Methods in Water Resources X , vol.1 , pp. 621-628
    • Gambolati, G.1    Gallo, C.2    Paniconi, C.3
  • 2
    • 0041175536 scopus 로고
    • Mass transfer analysis in sorbing porous media by an integro-differential approach
    • S.S.Y. Wang (ed.), The University of Mississippi, University, MS
    • G. Gambolati, C. Paniconi and M. Putti, 'Mass transfer analysis in sorbing porous media by an integro-differential approach', in S.S.Y. Wang (ed.), Advances in Hydro-Science and Engineering, vol. 1, part B, The University of Mississippi, University, MS, 1993, pp. 1819-1828.
    • (1993) Advances in Hydro-science and Engineering , vol.1 , Issue.PART B , pp. 1819-1828
    • Gambolati, G.1    Paniconi, C.2    Putti, M.3
  • 3
    • 0001864857 scopus 로고
    • Conjugate gradient-like methods for the numerical solution of the two site model in sorbing porous media
    • S. Atluri, G. Yagawa, and T.A. Cruse (eds.), Springer, New York
    • G. Gambolati, G. Pini and M. Putti, 'Conjugate gradient-like methods for the numerical solution of the two site model in sorbing porous media', in S. Atluri, G. Yagawa, and T.A. Cruse (eds.), Computational Mechanics 1995. Theory and Applications, Springer, New York, 1995, pp. 748-753.
    • (1995) Computational Mechanics 1995. Theory and Applications , pp. 748-753
    • Gambolati, G.1    Pini, G.2    Putti, M.3
  • 5
    • 0028592990 scopus 로고
    • Three-dimensional numerical codes for simulating groundwater contamination: FLOW3D, flow in saturated and unsaturated porous media
    • P. Zannetti (ed.), Computational Mechanics Publications, Southampton, UK
    • C. Paniconi, S. Ferraris, M. Putti, G. Pini and G. Gambolati, 'Three-dimensional numerical codes for simulating groundwater contamination: FLOW3D, flow in saturated and unsaturated porous media', in P. Zannetti (ed.), Proc. Envirosoft 1994, Computational Mechanics Publications, Southampton, UK, 1994, pp. 149-156.
    • (1994) Proc. Envirosoft 1994 , pp. 149-156
    • Paniconi, C.1    Ferraris, S.2    Putti, M.3    Pini, G.4    Gambolati, G.5
  • 6
    • 0028554103 scopus 로고
    • Three-dimensional numerical codes for simulating groundwater contamination: TRAN3D, transport with equilibrium and non-equilibrium adsorption
    • P. Zannetti (ed.), Computational Mechanics Publications, Southampton, UK
    • M. Putti, S. Ferraris, C. Paniconi, G. Pini and G. Gambolati, Three-dimensional numerical codes for simulating groundwater contamination: TRAN3D, transport with equilibrium and non-equilibrium adsorption', in P. Zannetti (ed.), Proc. Envirosoft 1994, Computational Mechanics Publications, Southampton, UK, 1994, pp. 141-148.
    • (1994) Proc. Envirosoft 1994 , pp. 141-148
    • Putti, M.1    Ferraris, S.2    Paniconi, C.3    Pini, G.4    Gambolati, G.5
  • 7
    • 0030212977 scopus 로고    scopus 로고
    • Comparison of solution approaches for the two-domain model of non-equilibrium transport in porous media
    • C. Gallo, C. Paniconi and G. Gambolati, 'Comparison of solution approaches for the two-domain model of non-equilibrium transport in porous media', Adv. Water Resour., 19, 241-253 (1996).
    • (1996) Adv. Water Resour. , vol.19 , pp. 241-253
    • Gallo, C.1    Paniconi, C.2    Gambolati, G.3
  • 8
    • 0041175535 scopus 로고
    • Numerical solutions for non-equilibrium solute transport in porous media
    • Tsinghua University Press, Beijing, China
    • G. Gambolati, C. Gallo, C. Paniconi and M. Putti, 'Numerical solutions for non-equilibrium solute transport in porous media', in Advances in Hydro-Science and Engineering, Volume II, PART B, Tsinghua University Press, Beijing, China, 1995, pp. 1733-1742.
    • (1995) Advances in Hydro-science and Engineering , vol.2 , Issue.PART B , pp. 1733-1742
    • Gambolati, G.1    Gallo, C.2    Paniconi, C.3    Putti, M.4
  • 9
    • 0002366748 scopus 로고    scopus 로고
    • Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media
    • M.M. Aral (ed.), Advances in Groundwater Pollution Control and Remediation, Kluwer, Dordrecht
    • G. Gambolati, M. Putti and C. Paniconi, 'Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media', in M.M. Aral (ed.), Advances in Groundwater Pollution Control and Remediation, vol. 9 of NATO ASI Series 2: Environment, Kluwer, Dordrecht, 1996, pp. 97-125.
    • (1996) NATO ASI Series 2: Environment , vol.9 , pp. 97-125
    • Gambolati, G.1    Putti, M.2    Paniconi, C.3
  • 10
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of non-symmetric linear systems
    • H.A. van der Vorst, 'Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of non-symmetric linear systems', SIAM J. Sci. Stat. Comput., 13, 631-644 (1992).
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 11
    • 0001031880 scopus 로고
    • A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
    • R.W. Freund, 'A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems', SIAM J. Sci. Comput., 14, 470-482 (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 470-482
    • Freund, R.W.1
  • 12
    • 0002497330 scopus 로고
    • The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
    • D.S. Kershaw, 'The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations', J. Comp. Phys., 26, 43-65 (1978).
    • (1978) J. Comp. Phys. , vol.26 , pp. 43-65
    • Kershaw, D.S.1
  • 14
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • Y. Saad, 'ILUT: A dual threshold incomplete ILU factorization', Numer. Lin. Alg. Appl., 1, 387-402 (1994).
    • (1994) Numer. Lin. Alg. Appl. , vol.1 , pp. 387-402
    • Saad, Y.1
  • 16
    • 0016973021 scopus 로고
    • Mass transfer studies in sorbing porous media: 1. Analytical solutions
    • M.T. van Genuchten and P.J. Wierenga, 'Mass transfer studies in sorbing porous media: 1. Analytical solutions', Soil Sci. Soc. Amer. J., 40, 473-480 (1976).
    • (1976) Soil Sci. Soc. Amer. J. , vol.40 , pp. 473-480
    • Van Genuchten, M.T.1    Wierenga, P.J.2
  • 18
    • 0024821775 scopus 로고
    • The Laplace transform Galerkin technique: A time-continuous finite element theory and application to mass transport in groundwater
    • E.A. Sudicky, 'The Laplace transform Galerkin technique: A time-continuous finite element theory and application to mass transport in groundwater', Water Resour. Res., 25, 1833-1846 (1989).
    • (1989) Water Resour. Res. , vol.25 , pp. 1833-1846
    • Sudicky, E.A.1
  • 19
    • 0024530471 scopus 로고
    • On boundary conditions and point sources in the finite element integration of the transport equation
    • G. Galeati and G. Gambolati, 'On boundary conditions and point sources in the finite element integration of the transport equation', Water Resour. Res., 25, 847-856 (1989).
    • (1989) Water Resour. Res. , vol.25 , pp. 847-856
    • Galeati, G.1    Gambolati, G.2
  • 20
    • 0016880982 scopus 로고
    • Numerical inversion of Laplace transforms using a Fourier series approximation
    • K.S. Crump, 'Numerical inversion of Laplace transforms using a Fourier series approximation', J. Ass. Comput. Mach., 23, 89-96 (1976).
    • (1976) J. Ass. Comput. Mach. , vol.23 , pp. 89-96
    • Crump, K.S.1
  • 21
    • 0001293615 scopus 로고
    • An improved method for numerical inversion of Laplace transforms
    • F.R. de Hoog, J.H. Knight and A.N. Stokes, 'An improved method for numerical inversion of Laplace transforms', SIAM J. Sci. Stat. Comput., 3, 357-366 (1982).
    • (1982) SIAM J. Sci. Stat. Comput. , vol.3 , pp. 357-366
    • De Hoog, F.R.1    Knight, J.H.2    Stokes, A.N.3
  • 22
    • 0002814189 scopus 로고
    • Solution of systems of linear equations by minimized iterations
    • C. Lanczos, 'Solution of systems of linear equations by minimized iterations', J. Res. Natl. Bur. Stand., 49, 33-53 (1952).
    • (1952) J. Res. Natl. Bur. Stand. , vol.49 , pp. 33-53
    • Lanczos, C.1
  • 23
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • Springer, Berlin
    • R. Fletcher, 'Conjugate gradient methods for indefinite systems', in Lecture Notes Math., vol. 506, Springer, Berlin, 1976, pp. 73-89.
    • (1976) Lecture Notes Math. , vol.506 , pp. 73-89
    • Fletcher, R.1
  • 24
    • 0002716979 scopus 로고
    • CGS, a fast Lanczos-type solver for non-symmetric linear systems
    • P. Sonneveld, 'CGS, a fast Lanczos-type solver for non-symmetric linear systems', SIAM J. Sci. Stat. Comput., 10, 36-52 (1989).
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 25
    • 0000394782 scopus 로고
    • The QR transformation: A unitary analogue to the LR transformation
    • J.G.F. Francis, 'The QR transformation: A unitary analogue to the LR transformation', Comp. J., 4, 265-271 (1961).
    • (1961) Comp. J. , vol.4 , pp. 265-271
    • Francis, J.G.F.1
  • 29
    • 0000482693 scopus 로고
    • Der verfharen der treppeniteration und verwandte verfharen zur losung algebraischer eigenwert-probleme
    • F.L. Bauer, 'Der Verfharen der Treppeniteration und verwandte Verfharen zur losung algebraischer Eigenwert-probleme', ZAMP, 214-235 (1957).
    • (1957) ZAMP , pp. 214-235
    • Bauer, F.L.1
  • 32
    • 84966211825 scopus 로고
    • A stability analysis of incomplete LU factorizations
    • H.C. Elman, 'A stability analysis of incomplete LU factorizations', Math. Comp., 47, 191-217 (1986).
    • (1986) Math. Comp. , vol.47 , pp. 191-217
    • Elman, H.C.1
  • 33
    • 0344315440 scopus 로고    scopus 로고
    • Complex solution to non-ideal contaminant transport through porous media
    • in press
    • G. Gambolati and G. Pini, 'Complex solution to non-ideal contaminant transport through porous media', J. Comp. Phys., in press (1999).
    • (1999) J. Comp. Phys.
    • Gambolati, G.1    Pini, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.