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Volumn 75, Issue 11, 2008, Pages 1282-1300

Numerical stabilization of Biot's consolidation model by a perturbation on the flow equation

Author keywords

Biot's model; Finite elements; Stabilization

Indexed keywords

FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; PIECEWISE LINEAR TECHNIQUES; STABILIZATION;

EID: 52649120307     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2295     Document Type: Article
Times cited : (72)

References (26)
  • 2
    • 0345643551 scopus 로고
    • General theory of three dimensional consolidation
    • Biot M. General theory of three dimensional consolidation. Journal of Applied Physics 1941; 12:155-169.
    • (1941) Journal of Applied Physics , vol.12 , pp. 155-169
    • Biot, M.1
  • 3
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic solid
    • Biot M. Theory of elasticity and consolidation for a porous anisotropic solid. Journal of Applied Physics 1955; 33:182-185.
    • (1955) Journal of Applied Physics , vol.33 , pp. 182-185
    • Biot, M.1
  • 4
    • 85139116042 scopus 로고
    • General solutions of the equation of elasticity and consolidation for a porous material
    • Biot M. General solutions of the equation of elasticity and consolidation for a porous material. Journal of Applied Mechanics 1956; 78:91-96.
    • (1956) Journal of Applied Mechanics , vol.78 , pp. 91-96
    • Biot, M.1
  • 5
    • 0019229736 scopus 로고
    • Drained, undrained, consolidating and dynamic behaviour assumptions in soils
    • Zienkiewicz OC, Chang CT, Bettess P. Drained, undrained, consolidating and dynamic behaviour assumptions in soils. Geothechnique 1980; 30:385-395.
    • (1980) Geothechnique , vol.30 , pp. 385-395
    • Zienkiewicz, O.C.1    Chang, C.T.2    Bettess, P.3
  • 9
    • 0000915136 scopus 로고
    • Recent developments in synovial joint biomechanics
    • Mow VC, Lai WM. Recent developments in synovial joint biomechanics. SIAM Review 1980; 22:275-317.
    • (1980) SIAM Review , vol.22 , pp. 275-317
    • Mow, V.C.1    Lai, W.M.2
  • 11
    • 0017957995 scopus 로고
    • A fully coupled consolidation model of the subsidence of Venice
    • Lewis RW, Schrefler BA. A fully coupled consolidation model of the subsidence of Venice. Water Resources Research 1978; 14:223-229.
    • (1978) Water Resources Research , vol.14 , pp. 223-229
    • Lewis, R.W.1    Schrefler, B.A.2
  • 15
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO Modelisation Mathematique et Analyse Numerique 1974; 8:129-151.
    • (1974) RAIRO Modelisation Mathematique et Analyse Numerique , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 18
    • 0000036606 scopus 로고    scopus 로고
    • Asymptotic behaviour of semi-discrete finite-element approximations of Biot's consolidation problem
    • Murad MA, Thomée V, Loula AFD. Asymptotic behaviour of semi-discrete finite-element approximations of Biot's consolidation problem. SIAM Journal on Numerical Analysis 1996; 33:1065-1083.
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , pp. 1065-1083
    • Murad, M.A.1    Thomée, V.2    Loula, A.F.D.3
  • 19
    • 0033522609 scopus 로고    scopus 로고
    • Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations
    • Pastor M, Li T, Liu X, Zienkiewicz OC. Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations. Computer Methods in Applied Mechanics and Engineering 1999; 174:219-234.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.174 , pp. 219-234
    • Pastor, M.1    Li, T.2    Liu, X.3    Zienkiewicz, O.C.4
  • 20
    • 0141796472 scopus 로고    scopus 로고
    • A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems
    • Mira P, Pastor M, Li T, Liu X. A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems. Computer Methods in Applied Mechanics and Engineering 2003; 192:4257-4277.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4257-4277
    • Mira, P.1    Pastor, M.2    Li, T.3    Liu, X.4
  • 22
    • 33645988819 scopus 로고    scopus 로고
    • Staggered grid discretizations for the quasi-static Biot's consolidation problem
    • Gaspar FJ, Lisbona FJ, Vabishchevich PN. Staggered grid discretizations for the quasi-static Biot's consolidation problem. Applied Numerical Mathematics 2006; 56:888-898.
    • (2006) Applied Numerical Mathematics , vol.56 , pp. 888-898
    • Gaspar, F.J.1    Lisbona, F.J.2    Vabishchevich, P.N.3
  • 25
    • 0015566427 scopus 로고
    • A numerical solution of the Navier-Stokes equations using the finite element technique
    • Taylor C, Hood P. A numerical solution of the Navier-Stokes equations using the finite element technique. Computers and Fluids 1973; 1:73-100.
    • (1973) Computers and Fluids , vol.1 , pp. 73-100
    • Taylor, C.1    Hood, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.