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Benchmark 3D: a composite hexahedral mixed finite element. (English) Zbl 1246.76043

Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 969-976 (2011).
For the entire collection see [Zbl 1220.76004].

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
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References:

[1] Arnold, DN; Boffi, D.; Falk, RS, Quadrilateral h(div) finite elements, SIAM J. Numer. Anal., 42, 2429-2451 (2005) · Zbl 1086.65105 · doi:10.1137/S0036142903431924
[2] Arnold, D. N.; Brezzi, F., Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates, M2AN, 19, 7-32 (1985) · Zbl 0567.65078
[3] Brezzi, F.; Fortin, M., Mixed and Hybrid Finite Element Methods (1991), New York: Springer-Verlag, New York · Zbl 0788.73002 · doi:10.1007/978-1-4612-3172-1
[4] Kuznetzov, Yu; Repin, S., Convergence analysis and error estimates for mixed finite element method on distorted meshes, Russ. J. Numer. Anal. Math. Modelling J. Numer. Math., 13, 33-51 (2005) · Zbl 1069.65114
[5] Roberts, JE; Thomas, J-M; Ciarlet, PG; Lions, JL, Mixed and hybrid methods, Handbook of Numerical Analysis Vol.II, pages 523-639 (1991), Amsterdam: North Holland, Amsterdam · Zbl 0875.65090
[6] Sboui, A.; Jaffré, J.; Roberts, JE, A composite mixed finite element for hexahedral grids, SIAM J. Sci. Comput., 31, 3, 2623-2645 (2009) · Zbl 1387.65123 · doi:10.1137/070703703
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