A mixed nonconforming finite element for the elasticity and stokes problems

Mathematical Models and Methods in Applied Sciences

Volumn 9, Issue 8, 1999, Pages 1179-1199

  Farhloul, M ^a   Fortin, M ^b  

^a UNIVERSITÉ DE MONCTON   (Canada)

^b UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008818206     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000531     Document Type: Article

References (10)

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2. F. Brezzi, J. Douglas and L. D. Marini, Two families of mixed finite elements for second order elliptic problems, Numer. Math. 47 (1985) 217-235.
3. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods (Springer-Verlag, 1991).
4. P. G. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, 1978).
5. M. Crouzeix and P. A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations, RAIRO Anal. Numer. 3 (1973) 33-76.
6. M. Farhloul and M. Fortin, A new mixed finite element for the Stokes and elasticity problems, SIAM J. Numer. Anal. 30 (1993) 971-990.
7. M. Farhloul and M. Fortin, Dual hybrid methods for the elasticity and the Stokes problems: A unified approach,Numer. Math. 76 (1997) 419-440.
8. M. Farhloul and M. Fortin, A nonconforming mixed finite element for second order elliptic problems, Num. Methods Partial Differential Equations 13 (1997) 445-457.
9. M. Fortin and M. Soulie, A non-conforming piecewise quadratic finite element on triangles, Internat. J. Numer. Methods Engrg. 19 (1983) 505-520.
10. V. Girault and P. A. Raviart, Finite Element for Navier Stokes Equations, Theory and Algorithms (Springer-Verlag, 1986).