메뉴 건너뛰기




Volumn 29, Issue 1, 2009, Pages 86-108

A conforming mixed finite-element method for the coupling of fluid flow with porous media flow

Author keywords

Conforming method; Darcy equation; Mixed finite elements; Stokes equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FLOW OF FLUIDS; GALERKIN METHODS; LAGRANGE MULTIPLIERS; PIECEWISE LINEAR TECHNIQUES; POROUS MATERIALS;

EID: 58849135325     PISSN: 02724979     EISSN: 14643642     Source Type: Journal    
DOI: 10.1093/imanum/drm049     Document Type: Article
Times cited : (125)

References (21)
  • 1
    • 0042657347 scopus 로고    scopus 로고
    • An extension theorem for equilibrium finite element spaces
    • AGOUZAL, A. & THOMAS, J.-M. (1996) An extension theorem for equilibrium finite element spaces. Jpn. J. Indust. Appl. Math., 13, 257-266.
    • (1996) Jpn. J. Indust. Appl. Math , vol.13 , pp. 257-266
    • AGOUZAL, A.1    THOMAS, J.-M.2
  • 3
    • 0037341030 scopus 로고    scopus 로고
    • On the mixed finite element method with Lagrange multipliers
    • BABUŠKA, I. & GATICA, G. N. (2003) On the mixed finite element method with Lagrange multipliers. Numer. Methods Partial Differ. Equ., 19, 192-210.
    • (2003) Numer. Methods Partial Differ. Equ , vol.19 , pp. 192-210
    • BABUŠKA, I.1    GATICA, G.N.2
  • 4
    • 78149488189 scopus 로고
    • Boundary conditions at a naturally impermeable wall
    • BEAVERS, G. & JOSEPH, D. (1967) Boundary conditions at a naturally impermeable wall. J. Fluid Mech., 30, 197-207.
    • (1967) J. Fluid Mech , vol.30 , pp. 197-207
    • BEAVERS, G.1    JOSEPH, D.2
  • 5
    • 15744389004 scopus 로고    scopus 로고
    • Coupling Darcy and Stokes equations for porous media with cracks
    • BERNARDI, C., HECHT, F. & PIRONNEAU, O. (2005) Coupling Darcy and Stokes equations for porous media with cracks. ESAIM Math. Model. Numer. Anal., 39, 7-35.
    • (2005) ESAIM Math. Model. Numer. Anal , vol.39 , pp. 7-35
    • BERNARDI, C.1    HECHT, F.2    PIRONNEAU, O.3
  • 6
    • 84966261002 scopus 로고
    • Analysis of some finite elements for the Stokes problem
    • BERNARDI, C. & RAUGEL, G. (1985) Analysis of some finite elements for the Stokes problem. Math. Comput., 44, 71-79.
    • (1985) Math. Comput , vol.44 , pp. 71-79
    • BERNARDI, C.1    RAUGEL, G.2
  • 8
    • 0036776588 scopus 로고    scopus 로고
    • Mathematical and numerical models for coupling surface and groundwater flows
    • DISCACCIATI, M., MIGLIO, E. & QUARTERONI, A. (2002) Mathematical and numerical models for coupling surface and groundwater flows. Appl. Numer. Math., 43, 57-74.
    • (2002) Appl. Numer. Math , vol.43 , pp. 57-74
    • DISCACCIATI, M.1    MIGLIO, E.2    QUARTERONI, A.3
  • 9
    • 0003208901 scopus 로고
    • Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms
    • Berlin: Springer
    • GIRAULT, V. & RAVIART, P.-A. (1986) Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms. Springer Series in Computational Mathematics, vol. 5. Berlin: Springer.
    • (1986) Springer Series in Computational Mathematics , vol.5
    • GIRAULT, V.1    RAVIART, P.-A.2
  • 10
    • 0003320921 scopus 로고
    • Elliptic Problems in Non-Smooth Domains
    • Boston, MA: Pitman
    • GRISVARD, P. (1985) Elliptic Problems in Non-Smooth Domains. Monographs and Studies in Mathematics, vol. 24. Boston, MA: Pitman.
    • (1985) Monographs and Studies in Mathematics , vol.24
    • GRISVARD, P.1
  • 11
    • 58849099822 scopus 로고    scopus 로고
    • GRISVARD, P. (1986) Problémes aux limites dans les polygones. Mode d'emploi. EDF Bull. Direction Etudes Recherches (Serie C), 1, 21-59.
    • GRISVARD, P. (1986) Problémes aux limites dans les polygones. Mode d'emploi. EDF Bull. Direction Etudes Recherches (Serie C), 1, 21-59.
  • 12
    • 33646874103 scopus 로고    scopus 로고
    • Numerical analysis of coupled Stokes/Darcy flows in industrial filtrations
    • HANSPAL, N. S., WAGHODE, A. N., NASSEHI, V. & WAKEMAN, R. J. (2006) Numerical analysis of coupled Stokes/Darcy flows in industrial filtrations. Transp. Porous Media, 64, 73-101.
    • (2006) Transp. Porous Media , vol.64 , pp. 73-101
    • HANSPAL, N.S.1    WAGHODE, A.N.2    NASSEHI, V.3    WAKEMAN, R.J.4
  • 13
    • 85095827382 scopus 로고    scopus 로고
    • Finite elements in computational electromagnetism
    • HIPTMAIR, R. (2002) Finite elements in computational electromagnetism. Acta Numer., 11, 237-339.
    • (2002) Acta Numer , vol.11 , pp. 237-339
    • HIPTMAIR, R.1
  • 14
    • 0043238030 scopus 로고    scopus 로고
    • On the interface boundary condition of Beavers, Joseph, and Saffman
    • JÄGER, W. & MIKELIC, M. (2000) On the interface boundary condition of Beavers, Joseph, and Saffman. SIAM J. Appl. Math., 60, 1111-1127.
    • (2000) SIAM J. Appl. Math , vol.60 , pp. 1111-1127
    • JÄGER, W.1    MIKELIC, M.2
  • 15
    • 24044526281 scopus 로고    scopus 로고
    • Modeling adsorption-desorption processes in porous media
    • KAPOUSTIN, G. V. & MA, J. (1999) Modeling adsorption-desorption processes in porous media. Comput. Sci. Eng., 1, 84-91.
    • (1999) Comput. Sci. Eng , vol.1 , pp. 84-91
    • KAPOUSTIN, G.V.1    MA, J.2
  • 16
  • 18
    • 27744551448 scopus 로고    scopus 로고
    • Locally conservative coupling of Stokes and Darcy flows
    • RIVIERE, B. & YOTOV, I. (2005) Locally conservative coupling of Stokes and Darcy flows. SIAM J. Numer. Anal., 42, 1959-1977.
    • (2005) SIAM J. Numer. Anal , vol.42 , pp. 1959-1977
    • RIVIERE, B.1    YOTOV, I.2
  • 19
    • 70350630547 scopus 로고    scopus 로고
    • ROBERTS, J. E. & THOMAS, J.-M. (1991) Mixed and hybrid methods. Handbook of Numerical Analysis, II (P. G. Ciarlet & J. L. Lions eds). Finite Element Methods (Part 1). Amsterdam: North-Holland.
    • ROBERTS, J. E. & THOMAS, J.-M. (1991) Mixed and hybrid methods. Handbook of Numerical Analysis, vol. II (P. G. Ciarlet & J. L. Lions eds). Finite Element Methods (Part 1). Amsterdam: North-Holland.
  • 20
    • 0015082428 scopus 로고
    • On the boundary condition at the surface of a porous media
    • SAFFMAN, P. (1971) On the boundary condition at the surface of a porous media. Stud. Appl. Math., 50, 93-101.
    • (1971) Stud. Appl. Math , vol.50 , pp. 93-101
    • SAFFMAN, P.1
  • 21
    • 2342584172 scopus 로고    scopus 로고
    • The Forchheimer equation in two-dimensional percolation porous media
    • WANG, X.-H. & LIU, Z.-F. (2004) The Forchheimer equation in two-dimensional percolation porous media. Phys. A Stat. Mech. Appl., 337, 384-388.
    • (2004) Phys. A Stat. Mech. Appl , vol.337 , pp. 384-388
    • WANG, X.-H.1    LIU, Z.-F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.