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Volumn 11, Issue 2, 2008, Pages 67-76

A stabilized difference scheme for deformable porous media and its numerical resolution by multigrid methods

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTED COMPUTER SYSTEMS; NUMERICAL METHODS; SYSTEM STABILITY;

EID: 39449116338     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-007-0061-1     Document Type: Article
Times cited : (22)

References (13)
  • 1
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    • General theory of three dimensional consolidation
    • Biot M. (1941). General theory of three dimensional consolidation. J. Appl. Phys. 12: 155-169
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-169
    • Biot, M.1
  • 2
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic solid
    • Biot M. (1955). Theory of elasticity and consolidation for a porous anisotropic solid. J. Appl. Phys. 33: 182-185
    • (1955) J. Appl. Phys. , vol.33 , pp. 182-185
    • Biot, M.1
  • 3
    • 85139116042 scopus 로고
    • General solutions of the equation of elasticity and consolidation for a porous material
    • Biot M. (1956). General solutions of the equation of elasticity and consolidation for a porous material. J. Appl. Mech. 78: 91-96
    • (1956) J. Appl. Mech. , vol.78 , pp. 91-96
    • Biot, M.1
  • 4
  • 5
    • 33645988819 scopus 로고    scopus 로고
    • Staggered grid discretizations for the quasi-static Biot's consolidation problem. Appl
    • Gaspar F.J., Lisbona F.J. and Vabishchevich P.N. (2006). Staggered grid discretizations for the quasi-static Biot's consolidation problem. Appl. Numer. Math. 56: 888-898
    • (2006) Numer. Math. , vol.56 , pp. 888-898
    • Gaspar, F.J.1    Lisbona, F.J.2    Vabishchevich, P.N.3
  • 6
    • 10044270001 scopus 로고    scopus 로고
    • A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system
    • Gaspar F.J., Lisbona F.J., Oosterlee C.W. and Wienands R. (2004). A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system. Numer. Linear Algebra Appl. 11: 93-113
    • (2004) Numer. Linear Algebra Appl. , vol.11 , pp. 93-113
    • Gaspar, F.J.1    Lisbona, F.J.2    Oosterlee, C.W.3    Wienands, R.4
  • 8
    • 28444484136 scopus 로고    scopus 로고
    • A least-squares mixed finite element method for Biot's consolidation problem in porous media
    • Korsawe J. and Starke G. (2005). A least-squares mixed finite element method for Biot's consolidation problem in porous media. SIAM J. Numer. Anal. 43: 318-339
    • (2005) SIAM J. Numer. Anal. , vol.43 , pp. 318-339
    • Korsawe, J.1    Starke, G.2
  • 9
    • 0024067913 scopus 로고
    • Parallel multigrid solution of the Navier-Stokes equations on general 2D-domains
    • Linden J., Steckel B. and Stüben K. (1988). Parallel multigrid solution of the Navier-Stokes equations on general 2D-domains. Parallel Comput. 7: 461-475
    • (1988) Parallel Comput. , vol.7 , pp. 461-475
    • Linden, J.1    Steckel, B.2    Stüben, K.3
  • 10
    • 0028381470 scopus 로고
    • On stability and convergence of finite element approximations of Biot's consolidation problem
    • Murad M.A. and Loula A.F.D. (1994). On stability and convergence of finite element approximations of Biot's consolidation problem. Int. J. Numer. Methods Eng. 37: 645-667
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 645-667
    • Murad, M.A.1    Loula, A.F.D.2
  • 13
    • 7544233092 scopus 로고    scopus 로고
    • An efficient multigrid solver based on distributive smoothing for poroelasticity equations
    • Wienands R., Gaspar F.J., Lisbona F.J. and Oosterlee C.W. (2004). An efficient multigrid solver based on distributive smoothing for poroelasticity equations. Computing 73: 99-119
    • (2004) Computing , vol.73 , pp. 99-119
    • Wienands, R.1    Gaspar, F.J.2    Lisbona, F.J.3    Oosterlee, C.W.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.