메뉴 건너뛰기




Volumn 5, Issue 1, 2001, Pages 61-84

Nodal and mixed finite elements for the numerical homogenization of 3D permeability

Author keywords

Bilateral bounds; Complementarity; Homogenization; Mixed finite elements; Nodal finite elements

Indexed keywords

BIOLOGICAL PARAMETERS; GROUND WATER; HOMOGENIZATION; MATHEMATICAL ANALYSIS; MODEL; PERMEABILITY; WATER QUALITY;

EID: 0034824589     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011621529611     Document Type: Article
Times cited : (27)

References (32)
  • 1
    • 0001198473 scopus 로고    scopus 로고
    • Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
    • T. Arbogast, M.F. Wheeler and I. Yotov, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. Numer. Anal. 34(2) (1997) 828-852.
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 828-852
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 2
    • 0001804939 scopus 로고
    • Mixed and nonconforming finite element methods: Implementation, post-processing and error estimates
    • D.N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: Implementation, post-processing and error estimates, RAIRO Modél. Math. Anal. Numér. 19 (1985) 7-32.
    • (1985) RAIRO Modél. Math. Anal. Numér. , vol.19 , pp. 7-32
    • Arnold, D.N.1    Brezzi, F.2
  • 3
    • 0020763693 scopus 로고
    • Effective macroscopic description for heat conduction in periodic composites
    • J.-L. Auriault, Effective macroscopic description for heat conduction in periodic composites, Internat. J. Heat Mass Transfer 26(6) (1983) 861-869.
    • (1983) Internat. J. Heat Mass Transfer , vol.26 , Issue.6 , pp. 861-869
    • Auriault, J.-L.1
  • 12
    • 0001377591 scopus 로고
    • Variational principles for linear initial value problems
    • M.E. Gurtin, Variational principles for linear initial value problems, Quart. Appl. Math. 22(3) (1964) 252-256.
    • (1964) Quart. Appl. Math. , vol.22 , Issue.3 , pp. 252-256
    • Gurtin, M.E.1
  • 14
    • 0001595571 scopus 로고
    • Preconditioned conjugate gradients for solving singular systems
    • E.F. Kaasschieter, Preconditioned conjugate gradients for solving singular systems, J. Comput. Appl. Math. 24 (1988) 265-275.
    • (1988) J. Comput. Appl. Math. , vol.24 , pp. 265-275
    • Kaasschieter, E.F.1
  • 15
    • 0026866689 scopus 로고
    • Mixed-hybrid finite elements and streamline computations for the potential flow problem
    • E.F. Kaasschieter and A.J.M. Huijben, Mixed-hybrid finite elements and streamline computations for the potential flow problem, Numer. Methods Partial Differential Equations 8 (1992) 221-226.
    • (1992) Numer. Methods Partial Differential Equations , vol.8 , pp. 221-226
    • Kaasschieter, E.F.1    Huijben, A.J.M.2
  • 16
    • 0003079005 scopus 로고
    • The use of renormalization for calculating effective permeability
    • P.R. King, The use of renormalization for calculating effective permeability, Transport Porous Media 4 (1987) 37-58.
    • (1987) Transport Porous Media , vol.4 , pp. 37-58
    • King, P.R.1
  • 18
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • J.A. Meijerink and H.A. Van der Vorst, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. Comp. 31 (1977) 148-162.
    • (1977) Math. Comp. , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 22
    • 84972505066 scopus 로고
    • On a model of nonisothermal flow through fissured media
    • M. Peszyńska, On a model of nonisothermal flow through fissured media, Differential and Integral Equations 8(6) (1995) 1497-516.
    • (1995) Differential and Integral Equations , vol.8 , Issue.6 , pp. 1497-1516
    • Peszyńska, M.1
  • 25
    • 0002197945 scopus 로고
    • Non-homogeneous media and vibration theory
    • Springer, Berlin
    • E. Sanchez-Palencia, Non-homogeneous media and vibration theory, in: Lecture Notes in Physics, Vol. 127 (Springer, Berlin, 1980).
    • (1980) Lecture Notes in Physics , vol.127
    • Sanchez-Palencia, E.1
  • 29
    • 0001669414 scopus 로고
    • On convergence of block-centered finite-differences for elliptic problems
    • A. Weiser and M.F. Wheeler, On convergence of block-centered finite-differences for elliptic problems, SIAM J. Numer. Anal. 25 (1988) 351-375.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 351-375
    • Weiser, A.1    Wheeler, M.F.2
  • 31
    • 0035392297 scopus 로고    scopus 로고
    • Numerical homogenization of the absolute permeability using the conformal-nodal and the mixed-hybrid finite element method
    • in press
    • W. Zijl and A. Trykozko, Numerical homogenization of the absolute permeability using the conformal-nodal and the mixed-hybrid finite element method, Transport Porous Media (2001) in press.
    • (2001) Transport Porous Media
    • Zijl, W.1    Trykozko, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.