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Volumn 4818 LNCS, Issue , 2008, Pages 267-274

Analytical effective coefficient and first-order approximation to linear Darcy's law through block inclusions

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROXIMATION; CONTRAST RATIO; DARCY'S LAW; FIRST-ORDER; FIRST-ORDER APPROXIMATIONS; FLOW IN POROUS MEDIA; HOMOGENIZATION THEORY; LINEAR DIFFUSION EQUATION; MATRIX; PERIODIC CELL; STEP FUNCTIONS; THEORETICAL RESULT; ZEROTH ORDER APPROXIMATION;

EID: 70350297443     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-78827-0_29     Document Type: Conference Paper
Times cited : (3)

References (14)
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    • Amaziane, B.1    Bourgeat, A.2    Koebbe, J.3
  • 3
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    • Bourgat, J.F.: Numerical Experiments of the Homogenization Method for Operators with Periodic Coefficient. In: Glowinski, R., Lions, J.L. (eds.) Comp. Met. in Appl. Sc. and Eng., Versailles, December 5-9, I, p. 330. Springer, Heidelberg (1978)
    • Bourgat, J.F.: Numerical Experiments of the Homogenization Method for Operators with Periodic Coefficient. In: Glowinski, R., Lions, J.L. (eds.) Comp. Met. in Appl. Sc. and Eng., Versailles, December 5-9, vol. I, p. 330. Springer, Heidelberg (1978)
  • 4
    • 85190396777 scopus 로고    scopus 로고
    • Hou, T.Y., Wu, X.H.: A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media. J.C.P. 134, 169-189 (1997)
    • Hou, T.Y., Wu, X.H.: A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media. J.C.P. 134, 169-189 (1997)
  • 5
    • 85190280324 scopus 로고    scopus 로고
    • Moulton, J.D., Dendy, J.E., Hyman, J.M.: The Black box Multigrid Numerical Homogenization Algorithm. J.C.P. 142, 80-108 (1998)
    • Moulton, J.D., Dendy, J.E., Hyman, J.M.: The Black box Multigrid Numerical Homogenization Algorithm. J.C.P. 142, 80-108 (1998)
  • 7
    • 0040222656 scopus 로고
    • Darcy's Law for Flow in Porous Media and the Two-Space Method
    • Sternberg, R.L, ed, Marcel Dekker, New York
    • Keller, J.B.: Darcy's Law for Flow in Porous Media and the Two-Space Method. In: Sternberg, R.L. (ed.) Nonlinear Partial Differential Equations in Engineering and Applied Sciences, pp. 429-443. Marcel Dekker, New York (1980)
    • (1980) Nonlinear Partial Differential Equations in Engineering and Applied Sciences , pp. 429-443
    • Keller, J.B.1
  • 9
    • 0031260069 scopus 로고    scopus 로고
    • Calculating Equivalent Permeability: A Review
    • Renard, P., De Marsily, G.: Calculating Equivalent Permeability: A Review. Adv. Water Resources 20(5-6), 253-278 (1997)
    • (1997) Adv. Water Resources , vol.20 , Issue.5-6 , pp. 253-278
    • Renard, P.1    De Marsily, G.2
  • 10
    • 0002197945 scopus 로고
    • Non-Homogeneous Media and Vibration Theory
    • Springer, Berlin
    • Sanchez-Palencia, E.: Non-Homogeneous Media and Vibration Theory. Lecture Notes in Physics, vol. 129. Springer, Berlin (1980)
    • (1980) Lecture Notes in Physics , vol.129
    • Sanchez-Palencia, E.1
  • 11
    • 70350260621 scopus 로고    scopus 로고
    • Analytical Approximation for the Generalized Laplace's Equation with Step Function Coefficient
    • in press
    • Sviercoski, R.F., Winter, C.L., Warrick, A.W.: Analytical Approximation for the Generalized Laplace's Equation with Step Function Coefficient. SIAM Journal of Applied Mathematics (in press, 2007)
    • (2007) SIAM Journal of Applied Mathematics
    • Sviercoski, R.F.1    Winter, C.L.2    Warrick, A.W.3
  • 12
    • 70350282230 scopus 로고    scopus 로고
    • Analytical Effective Coefficient for Block Inclusions: Numerical Results for Linear Flow
    • Submitted
    • Sviercoski, R.F., Travis, B.J.: Analytical Effective Coefficient for Block Inclusions: Numerical Results for Linear Flow. Transport in Porous Media (Submitted 2007)
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    • Sviercoski, R.F.1    Travis, B.J.2
  • 13
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    • Analytical Effective Coefficient and First-Order Approximation for Linear Flow through Block Permeability Inclusions
    • in press
    • Sviercoski, R.F., Travis, B.J., Hyman, J.M.: Analytical Effective Coefficient and First-Order Approximation for Linear Flow through Block Permeability Inclusions. Comp. Math. Appl (in press, 2007)
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    • Sviercoski, R.F.1    Travis, B.J.2    Hyman, J.M.3
  • 14
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    • Fujita, H, ed, Japanese Society for the Promotion of Science
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    • (1976) Functional Analysis and Numerical Analysis, Proc. Japan-France Seminar , pp. 468-482
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.