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Volumn 6, Issue 4, 2004, Pages 185-195

On the application of the Pmod1 element to incompressible flow problems

Author keywords

[No Author keywords available]

Indexed keywords

NAVIER STOKES EQUATIONS; PIECEWISE LINEAR TECHNIQUES;

EID: 17644375602     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-004-0127-2     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 84966261002 scopus 로고
    • Analysis of some finite elements for the stokes problem
    • Bernardi, C., Raugel, G.: Analysis of some finite elements for the Stokes problem. Math. Comput. 44, 71-79 (1985)
    • (1985) Math. Comput. , vol.44 , pp. 71-79
    • Bernardi, C.1    Raugel, G.2
  • 2
    • 0001023383 scopus 로고
    • Stability of finite elements under divergence constraints
    • Boland, J., Nicolaides, R.: Stability of finite elements under divergence constraints. SIAM J. Numer. Anal. 20, 722-731 (1983)
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 722-731
    • Boland, J.1    Nicolaides, R.2
  • 4
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • In: Ciarlet, P.G., Lions, J.L. (eds.) North-Holland
    • Ciarlet, P.G.: Basic error estimates for elliptic problems. In: Ciarlet, P.G., Lions, J.L. (eds.), Handbook of Numerical Analysis, Vol. 2 -Finite Element Methods (pt. 1), pp. 17-351, North-Holland 1991
    • (1991) Handbook of Numerical Analysis,-Finite Element Methods , vol.2 , Issue.PART 1 , pp. 17-351
    • Ciarlet, P.G.1
  • 5
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary stokes equations i
    • Crouzeix, M., Raviart, P.-A.: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. RAIRO 7(R-3), 33-76 (1973)
    • (1973) RAIRO , vol.7 , Issue.R-3 , pp. 33-76
    • Crouzeix, M.1    Raviart, P.-A.2
  • 6
    • 0017633213 scopus 로고
    • An analysis of the convergence of mixed finite element methods
    • Fortin, M.: An analysis of the convergence of mixed finite element methods. RAIRO Anal. Numér. 11, 341-354 (1977)
    • (1977) RAIRO Anal. Numér. , vol.11 , pp. 341-354
    • Fortin, M.1
  • 7
    • 0020735864 scopus 로고
    • A non-conforming piecewise quadratic finite element on triangles
    • Fortin, M., Soulie, M.: A non-conforming piecewise quadratic finite element on triangles. Int. J. Numer. Methods Eng. 19, 505-520 (1983)
    • (1983) Int. J. Numer. Methods Eng. , vol.19 , pp. 505-520
    • Fortin, M.1    Soulie, M.2
  • 10
    • 0036044675 scopus 로고    scopus 로고
    • Non-nested multilevel solvers for finite element discretisations of mixed problems
    • John, V., Knobloch, P., Matthies, G., Tobiska, L.: Non-nested multilevel solvers for finite element discretisations of mixed problems. Computing 68, 313-341 (2002)
    • (2002) Computing , vol.68 , pp. 313-341
    • John, V.1    Knobloch, P.2    Matthies, G.3    Tobiska, L.4
  • 11
    • 0001710530 scopus 로고    scopus 로고
    • On korn's inequality for nonconforming finite elements
    • and 375 (errata
    • Knobloch, P.: On Korn's inequality for nonconforming finite elements. Technische Mechanik 20, 205-214 and 375 (errata) (2000)
    • (2000) Technische Mechanik , vol.20 , pp. 205-214
    • Knobloch, P.1
  • 12
    • 2342652266 scopus 로고    scopus 로고
    • The pmod 1 element: A new nonconforming finite element for convection-diffusion problems
    • Knobloch, P., Tobiska, L.: The Pmod 1 element: a new nonconforming finite element for convection-diffusion problems. SIAM J. Numer. Anal. 41, 436-456, (2003)
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 436-456
    • Knobloch, P.1    Tobiska, L.2
  • 14
    • 84968512389 scopus 로고
    • Analysis of mixed finite element methods for the stokes problem: A unified approach
    • Stenberg, R.: Analysis of mixed finite element methods for the Stokes problem: a unified approach. Math. Comput. 42, 9-23 (1984)
    • (1984) Math. Comput. , vol.42 , pp. 9-23
    • Stenberg, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.