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.
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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103836/

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