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Fortin, M.; Soulie, M.

A non-conforming piecewise quadratic finite element on triangles. (English) Zbl 0514.73068

Int. J. Numer. Methods Eng. 19, 505-520 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 3 Reviews
Cited in 87 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
74S99 Numerical and other methods in solid mechanics

Keywords:

non-conforming elements; triangle; second-degree polynomials; error estimates; regularity property; viscous incompressible flows; incompressible materials
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References:

[1] Burggraf, J. Fluid Mech. 24 pp 113– (1966)
[2] The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1977.
[3] and , ’Conforming and non-conforming finite element methods for solving the stationary Stokes equations’, RAIRO 7, rev. 3, 33-76 (1973).
[4] ’An analysis of the convergence of mixed finite element methods’, RAIRO 11, rev. 3, 341-354 (1977).
[5] ’The construction of approximately divergence-free finite elements’, in Mathematics of Finite Elements and Applications (Ed. ), Academic Press, New York, 1979. · Zbl 0438.76035
[6] and , ’Experience with the patch test for convergence of finite elements’, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (Ed. ), Academic Press, New York, 1972, pp. 557-587. · doi:10.1016/B978-0-12-068650-6.50025-3
[7] Navier-Stokes Equations, North-Holland, Amsterdam, 1977.
[8] Tuann, J. Comp. Phys. 29 pp 1– (1978)
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