메뉴 건너뛰기




Volumn 16, Issue 3-4, 1997, Pages 365-380

A discrete divergence-free basis for finite element methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042636808     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019159702198     Document Type: Article
Times cited : (19)

References (24)
  • 1
    • 0041525861 scopus 로고
    • An application of network theory to the solution of implicit Navier-Stokes difference equations
    • R. Amit, C. Hall and T. Porsching, An application of network theory to the solution of implicit Navier-Stokes difference equations, J. Comput. Phys. 40 (1981) 183-201.
    • (1981) J. Comput. Phys. , vol.40 , pp. 183-201
    • Amit, R.1    Hall, C.2    Porsching, T.3
  • 3
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
    • M. Crouzeix and P.A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations I, RAIRO R-3 (1973) 33-76.
    • (1973) RAIRO , vol.R-3 , pp. 33-76
    • Crouzeix, M.1    Raviart, P.A.2
  • 4
    • 0023594334 scopus 로고
    • An unconditionally stable convergent finite difference method for Navier-Stokes problem on curved domains
    • J. Ellison, C. Hall and T. Porsching, An unconditionally stable convergent finite difference method for Navier-Stokes problem on curved domains, SIAM J. Numer. Anal. 24(6) (1987) 1233-1248.
    • (1987) SIAM J. Numer. Anal. , vol.24 , Issue.6 , pp. 1233-1248
    • Ellison, J.1    Hall, C.2    Porsching, T.3
  • 5
    • 0019362553 scopus 로고
    • Old and new finite elements for incompressible flow
    • M. Fortin, Old and new finite elements for incompressible flow, Internat. J. Numer. Methods Fluids 1 (1981) 347-364.
    • (1981) Internat. J. Numer. Methods Fluids , vol.1 , pp. 347-364
    • Fortin, M.1
  • 7
    • 0000331539 scopus 로고
    • Time dependent viscous incompressible Navier-Stokes equations: The finite difference Galerkin formulations and stream function algorithms
    • J.W. Goodrich and W.Y. Soh, Time dependent viscous incompressible Navier-Stokes equations: the finite difference Galerkin formulations and stream function algorithms, J. Comput. Phys. 79(1) (1988) 113-134.
    • (1988) J. Comput. Phys. , vol.79 , Issue.1 , pp. 113-134
    • Goodrich, J.W.1    Soh, W.Y.2
  • 8
    • 84979102143 scopus 로고
    • Finite element for incompressible flow
    • D.F. Griffiths, Finite element for incompressible flow, Math. Methods Appl. Sci. 1 (1979) 16-31.
    • (1979) Math. Methods Appl. Sci. , vol.1 , pp. 16-31
    • Griffiths, D.F.1
  • 9
    • 0041525863 scopus 로고
    • The construction of approximately divergence-free finite element
    • ed. J.R. Whiteman (Academic Press, New York)
    • D.F. Griffiths, The construction of approximately divergence-free finite element, in: The Mathematics of Finite Element and its Applications, Vol. 3, ed. J.R. Whiteman (Academic Press, New York, 1979).
    • (1979) The Mathematics of Finite Element and Its Applications , vol.3
    • Griffiths, D.F.1
  • 10
    • 0019381050 scopus 로고
    • An approximately divergence-free 9-node velocity element for incompressible flows
    • D.F. Griffiths, An approximately divergence-free 9-node velocity element for incompressible flows, Internat. J. Numer. Methods Fluids 1(4) (1981) 323-346.
    • (1981) Internat. J. Numer. Methods Fluids , vol.1 , Issue.4 , pp. 323-346
    • Griffiths, D.F.1
  • 11
    • 0001703903 scopus 로고
    • Divergence-free basis for finite element schemes in hydrodynamics
    • K. Gustafson and R. Hartman, Divergence-free basis for finite element schemes in hydrodynamics, SIAM J. Numer. Anal. 20 (1983) 697-721.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 697-721
    • Gustafson, K.1    Hartman, R.2
  • 13
    • 0042527775 scopus 로고
    • Numerical solution of Navier-Stokes problems by the dual variable method
    • C. Hall, Numerical solution of Navier-Stokes problems by the dual variable method, SIAM J. Alg. Discrete Methods 6(2) (1985) 220-236.
    • (1985) SIAM J. Alg. Discrete Methods , vol.6 , Issue.2 , pp. 220-236
    • Hall, C.1
  • 14
    • 0022059850 scopus 로고
    • The dual variable method for finite element discretizations of Navier-Stokes equations
    • C. Hall, J. Peterson, T. Porsching and F. Sledge, The dual variable method for finite element discretizations of Navier-Stokes equations, J. Numer. Methods Engrg. 21 (1985) 883.
    • (1985) J. Numer. Methods Engrg. , vol.21 , pp. 883
    • Hall, C.1    Peterson, J.2    Porsching, T.3    Sledge, F.4
  • 16
    • 0042026922 scopus 로고
    • Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations
    • C. Hall and X. Ye, Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations, J. Linear Algebra Appl. 171 (1992) 9-52.
    • (1992) J. Linear Algebra Appl. , vol.171 , pp. 9-52
    • Hall, C.1    Ye, X.2
  • 17
    • 0000114929 scopus 로고
    • Sparse orthogonal schemes for structural optimization using the force method
    • M. Heath, R. Plemmons and R. Ward, Sparse orthogonal schemes for structural optimization using the force method, SIAM J. Sci. Statist. Comput. 5 (1984) 514-532.
    • (1984) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 514-532
    • Heath, M.1    Plemmons, R.2    Ward, R.3
  • 18
    • 0016333399 scopus 로고
    • Navier-Stokes equations using mixed interpolation
    • ed. J.T. Oden (UAH Press, Huntsville, AL)
    • P. Hood and C. Taylor, Navier-Stokes equations using mixed interpolation, in: Finite Element Methods in Flow Problems, ed. J.T. Oden (UAH Press, Huntsville, AL, 1974) pp. 121-131.
    • (1974) Finite Element Methods in Flow Problems , pp. 121-131
    • Hood, P.1    Taylor, C.2
  • 20
    • 84968512389 scopus 로고
    • Analysis of mixed finite element methods for the Stokes problem: A unified approach
    • R. Stenberg, Analysis of mixed finite element methods for the Stokes problem: a unified approach, Math. Comp. 42 (1984) 9-23.
    • (1984) Math. Comp. , vol.42 , pp. 9-23
    • Stenberg, R.1
  • 21
    • 0043028725 scopus 로고
    • A finite-difference Galerkin formulation for the incompressible Navier-Stokes equations
    • A.B. Stephens, J.B. Bell, J.M. Solomon and L.B. Hackerman, A finite-difference Galerkin formulation for the incompressible Navier-Stokes equations, J. Comput. Phys. 53 (1984) 152-172.
    • (1984) J. Comput. Phys. , vol.53 , pp. 152-172
    • Stephens, A.B.1    Bell, J.B.2    Solomon, J.M.3    Hackerman, L.B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.