메뉴 건너뛰기




Volumn 11, Issue 2, 2007, Pages 145-158

A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: The discrete-in-time case

Author keywords

Continuous Galerkin; Discrete in time a priori error estimates; Mixed finite elements; Poroelasticity

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ELASTICITY; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FLUID MECHANICS; GALERKIN METHODS; POROSITY;

EID: 34250218216     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-007-9044-z     Document Type: Article
Times cited : (171)

References (18)
  • 1
    • 34250188279 scopus 로고    scopus 로고
    • deal.II - A general purpose object oriented finite element library
    • Institute for Scientific Computation, Texas A&M University, College Station
    • Bangerth, W., Hartmann, R., Kanschat, G.: Deal.II - A general purpose object oriented finite element library. Report ISC-06-02-MATH, Institute for Scientific Computation, Texas A&M University, College Station (2006)
    • (2006) Report ISC-06-02-MATH
    • Bangerth, W.1    Hartmann, R.2    Kanschat, G.3
  • 2
    • 0033149012 scopus 로고    scopus 로고
    • Exact solutions for two-dimensional time dependent flow and deformation within a poroelastic medium
    • Barry, S., Mercer, G.: Exact solutions for two-dimensional time dependent flow and deformation within a poroelastic medium. J. Appl. Mech. 66, 536-540 (1999)
    • (1999) J. Appl. Mech. , vol.66 , pp. 536-540
    • Barry, S.1    Mercer, G.2
  • 3
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot, M.: General theory of three-dimensional consolidation. J. Appl. Phys. 2, 155-164 (1941)
    • (1941) J. Appl. Phys. , vol.2 , pp. 155-164
    • Biot, M.1
  • 4
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic media
    • Biot, M.: Theory of elasticity and consolidation for a porous anisotropic media. J. Appl. Phys. 26 (2), 182-185 (1955)
    • (1955) J. Appl. Phys. , vol.26 , Issue.2 , pp. 182-185
    • Biot, M.1
  • 8
    • 34250173997 scopus 로고    scopus 로고
    • Numerical methods for the Biot model in poroelasticity
    • Ph.D. thesis, University of Houston
    • Lipnikov, K.: Numerical methods for the Biot model in poroelasticity. Ph.D. thesis, University of Houston (2002)
    • (2002)
    • Lipnikov, K.1
  • 9
    • 0026835573 scopus 로고
    • Improved accuracy in finite element analysis of Biot's consolidation problem
    • Murad, M., Loula, A.: Improved accuracy in finite element analysis of Biot's consolidation problem. Comput. Methods Appl. Mech. Eng. 95, 359-382 (1992)
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.95 , pp. 359-382
    • Murad, M.1    Loula, A.2
  • 10
    • 34250256485 scopus 로고
    • Mixed finite elements in ℝ3
    • Nedelec, J.: Mixed finite elements in ℝ3. Numer. Math. 35, 315-341 (1980)
    • (1980) Numer. Math. , vol.35 , pp. 315-341
    • Nedelec, J.1
  • 11
    • 34250159113 scopus 로고    scopus 로고
    • A coupling of mixed and continuous Galerkin finite elements for poroelasticity I: The continuous in time case
    • doi: 10.1007/s10596-007-9045-y
    • Phillips, P.J.,Wheeler,M.F.: A coupling of mixed and continuous Galerkin finite elements for poroelasticity I: The continuous in time case. Comput. Geosci. doi: 10.1007/s10596-007-9045-y (2007)
    • (2007) Comput. Geosci.
    • Phillips, P.J.1    Wheeler, M.F.2
  • 12
    • 0001175293 scopus 로고
    • Mixed finite element method for second order elliptic problems
    • In: Galligani, I., Magenes, E. (eds.) Springer, Berlin Heidelberg New York
    • Raviart, R., Thomas, J.: Mixed finite element method for second order elliptic problems. In: Galligani, I., Magenes, E. (eds.) Mathematical Aspects of the Finite Element Method. Lecture Notes in Mathematics, vol. 606, pp. 292-315. Springer, Berlin Heidelberg New York (1977)
    • (1977) Mathematical Aspects of the Finite Element Method. Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, R.1    Thomas, J.2
  • 15
    • 0034311246 scopus 로고    scopus 로고
    • Diffusion in poro-elastic media
    • Showalter, R.E.: Diffusion in poro-elastic media. J. Math. Anal. Appl. 251, 310-340 (2000)
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 310-340
    • Showalter, R.E.1
  • 16
    • 0001786659 scopus 로고
    • Die Berechnung der Durchlassigkeits-ziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen. Sitzung Berichte. Akadamie der Wissenschaften, Wien Mathematisch-Naturwissenschaftliche Klasse
    • Terzaghi, K.: Die Berechnung der Durchlassigkeits-ziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen. Sitzung Berichte. Akadamie der Wissenschaften, Wien Mathematisch-Naturwissenschaftliche Klasse, Abteilung IIa. 132, 105-124 (1923)
    • (1923) Abteilung IIa. , vol.132 , pp. 105-124
    • Terzaghi, K.1
  • 18
    • 0001287713 scopus 로고
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations. SIAM J. Numer. Anal. 10, 723-759 (1973)
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 723-759
    • Wheeler, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.