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Volumn 15, Issue 3, 1999, Pages 317-332

A two-grid method for mixed finite-element solution of reaction-diffusion equations

Author keywords

Mixed finite element methods; Reaction diffusion equations; Two grid methods

Indexed keywords


EID: 0004924039     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199905)15:3<317::AID-NUM4>3.0.CO;2-U     Document Type: Article
Times cited : (72)

References (14)
  • 3
    • 0002329650 scopus 로고
    • The approximation of the pressure by a mixed method in the simulation of miscible displacement
    • J. Douglas, R. Ewing, and M. Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement, RAIRO Anal Num 17 (1983), 17-33.
    • (1983) RAIRO Anal Num , vol.17 , pp. 17-33
    • Douglas, J.1    Ewing, R.2    Wheeler, M.3
  • 4
    • 0000426594 scopus 로고
    • Mixed finite element for petroleum engineering problems
    • INRIA, North Holland, Amsterdam
    • R. Gonzales and M. F. Wheeler, Mixed finite element for petroleum engineering problems, Proc Sixth Internat Conf Comp Meth Appl Sci Eng, INRIA, 1983, North Holland, Amsterdam, 1984, 639-658.
    • (1983) Proc Sixth Internat Conf Comp Meth Appl Sci Eng , pp. 639-658
    • Gonzales, R.1    Wheeler, M.F.2
  • 5
    • 0027790285 scopus 로고
    • Mixed finite element simulation of saturated groundwater flow using a multigrid accelerated domain decomposition technique
    • R. Beckie, E. F. Wood, and A. Aldama, Mixed finite element simulation of saturated groundwater flow using a multigrid accelerated domain decomposition technique, Water Resource Res 29 (1993), 3145-3157.
    • (1993) Water Resource Res , vol.29 , pp. 3145-3157
    • Beckie, R.1    Wood, E.F.2    Aldama, A.3
  • 6
    • 0013044931 scopus 로고
    • Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic systems
    • Nijmegen, Netherlands, June 15-17
    • R. E. Ewing, R.D. Lazarov, P. Lu, and P. S. Vassilevski, Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic systems. Proc Conf Precond Conj Grad Meth, Nijmegen, Netherlands, June 15-17, 1989.
    • (1989) Proc Conf Precond Conj Grad Meth
    • Ewing, R.E.1    Lazarov, R.D.2    Lu, P.3    Vassilevski, P.S.4
  • 9
    • 0001705515 scopus 로고
    • Well conditioned iterative schemes for mixed finite-element models of porous-media flows
    • M. B. Allen, R. E. Ewing, and P. Lu, Well conditioned iterative schemes for mixed finite-element models of porous-media flows, SIAM J Sci Stat Comp 13 (1992), 794-814.
    • (1992) SIAM J Sci Stat Comp , vol.13 , pp. 794-814
    • Allen, M.B.1    Ewing, R.E.2    Lu, P.3
  • 10
    • 0001547745 scopus 로고    scopus 로고
    • Two grid finite element discretization techniques for linear and nonlinear PDE
    • J. Xu, Two grid finite element discretization techniques for linear and nonlinear PDE, SIAM J Numer Anal 33 (1996), 1759-1777.
    • (1996) SIAM J Numer Anal , vol.33 , pp. 1759-1777
    • Xu, J.1
  • 11
    • 0038673842 scopus 로고
    • Two-grid methods for mixed finite element approximations of non-linear parabolic equations
    • C. N. Dawson and M.F. Wheeler, Two-grid methods for mixed finite element approximations of non-linear parabolic equations, Contemp. Math. 180 (1994), 191-203.
    • (1994) Contemp. Math. , vol.180 , pp. 191-203
    • Dawson, C.N.1    Wheeler, M.F.2
  • 12
    • 0001175293 scopus 로고
    • A mixed finite element method for second-order elliptic problems
    • Mathematical aspects of the finite element method, I. Galligani and E. Magenes (Editors), Springer-Verlag, New York
    • P. A. Raviart and J. M. Thomas, "A mixed finite element method for second-order elliptic problems." Mathematical aspects of the finite element method, I. Galligani and E. Magenes (Editors), Lecture Notes in Mathematics 606, Springer-Verlag, New York, 1977.
    • (1977) Lecture Notes in Mathematics , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 13
    • 0002650114 scopus 로고
    • Finite element and finite difference methods for continuous flows in porous media
    • R.E. Ewing (Editor), SIAM, Philadelphia
    • T. F. Russell and M. F. Wheeler, "Finite element and finite difference methods for continuous flows in porous media." The mathematics of reservoir simulation, R.E. Ewing (Editor), SIAM, Philadelphia, 1983, pp. 35-106.
    • (1983) The Mathematics of Reservoir Simulation , pp. 35-106
    • Russell, T.F.1    Wheeler, M.F.2
  • 14
    • 0042517563 scopus 로고
    • A multigrid-based solver for transient groundwater flows using cell-centered differences
    • A. Peters et al. (Editors), Heidelberg, Germany, July 19 -22, Kluwer Academic Publishers, Dordrecht, The Netherlands
    • M. B. Allen and Z. Wang, A multigrid-based solver for transient groundwater flows using cell-centered differences, Proc Tenth Internat Conf Comp Meth Water Resources, A. Peters et al. (Editors), Heidelberg, Germany, July 19 -22, 1994, Kluwer Academic Publishers, Dordrecht, The Netherlands, vol. 2, 1375-1392.
    • (1994) Proc Tenth Internat Conf Comp Meth Water Resources , vol.2 , pp. 1375-1392
    • Allen, M.B.1    Wang, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.