Geodesic
The density of solenoidal functions and the convergence of a dual finite element method
Applications of Mathematics, Tome 25 (1980) no. 1, pp. 39-55
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A proof is given of the following theorem: infinitely differentiable solenoidal vector - functions are dense in the space of functions, which are solenoidal in the distribution sense only. The theorem is utilized in proving the convergence of a dual finite element procedure for Dirichlet, Neumann and a mixed boundary value problem of a second order elliptic equation.
A proof is given of the following theorem: infinitely differentiable solenoidal vector - functions are dense in the space of functions, which are solenoidal in the distribution sense only. The theorem is utilized in proving the convergence of a dual finite element procedure for Dirichlet, Neumann and a mixed boundary value problem of a second order elliptic equation.
DOI : 10.21136/AM.1980.103836
Classification : 35J25, 46E35, 65N30
Keywords: density of solenoidal functions; convergence of a dual finite element method; Dirichlet, Neumann and a mixed boundary value problem; second order elliptic equation 
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Hlaváček, Ivan. The density of solenoidal functions and the convergence of a dual finite element method. Applications of Mathematics, Tome 25 (1980) no. 1, pp. 39-55. doi: 10.21136/AM.1980.103836

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

[4] O. A. Ladyzenskaya: The mathematical theory of viscous incompressible flow. Gordon & Breach, New York 1969. | MR

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