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The density of solenoidal functions and the convergence of a dual finite element method. (English) Zbl 0424.65056


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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References:

[1] J. Haslinger I. Hlaváček: Convergence of a finite element method based on the dual variational formulation. Apl. mat. 21 (1976), 43 - 65.
[2] B. Fraeijs de Veubeke M. Hogge: Dual analysis for heat conduction problems by finite elements. Int. J. Numer. Meth. Eng. 5 (1972), 65 - 82. · Zbl 0251.65061
[3] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
[4] O. A. Ladyzenskaya: The mathematical theory of viscous incompressible flow. Gordon & Breach, New York 1969.
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