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Convergence of a finite element method based on the dual variational formulation. (English) Zbl 0326.35020


MSC:

35J20 Variational methods for second-order elliptic equations
35A35 Theoretical approximation in context of PDEs
35B45 A priori estimates in context of PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:

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[10] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
[11] I. Hlaváček: Variational principles in the linear theory of elasticity for general boundary conditions. Apl. mat. 12 (1967), 425-448. · Zbl 0153.55401
[12] J. Haslinger J. Hlaváček: Convergence of a dual finite element method in \(R_n\). CMUC 16 (1975), 469-485. · Zbl 0321.65060
[13] H. Gajewski: On conjugate evolution equations and a posteriori error estimates. Proceedings of Internal. Summer School on Nonlinear Operators held in Berlin, 1975. · Zbl 0367.35051
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