Geodesic
Curved elements in a mixed finite element method close to the equilibrium model
Applications of Mathematics, Tome 20 (1975) no. 4, pp. 233-252
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Using the new variational approach for solving one elliptic equation of second order with constant coefficients, the authors study the rate of convergence of Galerkin's approximations in a space of curved finite elements.
Using the new variational approach for solving one elliptic equation of second order with constant coefficients, the authors study the rate of convergence of Galerkin's approximations in a space of curved finite elements.
DOI : 10.21136/AM.1975.103590
Classification : 35J20, 65N30, 65Z05 
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Haslinger, Jaroslav; Hlaváček, Ivan. Curved elements in a mixed finite element method close to the equilibrium model. Applications of Mathematics, Tome 20 (1975) no. 4, pp. 233-252. doi: 10.21136/AM.1975.103590

[1] J. Haslinger I. Hlaváček: A mixed finite element method close to the equilibrium model. (To appear.) | MR

[2] J. Haslinger I. Hlaváček: A mixed finite element method close to the equilibrium model applied to plane elastostatics. (To appear.) | MR

[3] M. Zlámal: Curved elements in the finite element method. SIAM J. Numer. Anal., Vol. 10, No. 1 (1973), pp. 229-240. | DOI | MR

[4] P. G. Ciarlet P. A. Raviart: Interpolation theory over curved elements, with Applications to finite-element methods. Соmр. Meth. Appl. Mech. Eng. 1 (1972), pp. 217-249. | DOI | MR

[5] J. Nečas: Les méthodes directes en théorie des équations eíliptiques. Academia, Prague 1967. | MR

[6] J. Haslinger: Elements finis et la convergence à l'interieur du domaine. CMUC 1974, 1, pp. 85-102. | MR

[7] I. Babuška: Approximation by hill-functions II. Institute for fluid Dynamics and Applied mathematics. Technical Note BN-708.

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