The density of solenoidal functions and the convergence of a dual finite element method
Ivan Hlaváček (1980)
Aplikace matematiky
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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.