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A finite element to interpolate symmetric tensors with divergence in \(L^ 2\). (English) Zbl 0508.65051


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions

Citations:

Zbl 0362.65089
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References:

[1] F. Brezzi,On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers, R.A.I.R.O. R2 (1974), 129–151. · Zbl 0338.90047
[2] F. Brezzi,Sur la méthode des éléments finis hybrides pour le problème biharmonique, Num. Math.24 (1975), 103–131. · Zbl 0316.65029
[3] F. Brezzi–L. D. Marini,On the numerical solution of plate bending problems by hybrid methods, R.A.I.R.O. R3 (1975), 5–50. · Zbl 0322.73048
[4] C. Canuto,A hybrid finite element method to compute the free vibration frequencies of a clamped plate, R.A.I.R.O. Num. An.,15 (1981). · Zbl 0462.73049
[5] M. Fortin,Résolution numérique des équations de Navier-Stokes par des éléments finis de type mixte, Rapport de Récherche I.R.I.A. n. 184 (1976).
[6] P. A. Raviart–J. M. Thomas,A mixed finite element method for 2nd order elliptic problems, Lect. Notes in Math. 505 (1977), Springer, Berlin-Heidelberg-New York. · Zbl 0362.65089
[7] J. M. Thomas,Sur l’analyse numérique des méthodes d’éléments finis hybrides et mixtes, Thèse à l’Université Pierre et Marie Curie (1977), Paris.
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