Displaying similar documents to “Optimization of the domain in elliptic unilateral boundary value problems by finite element method”

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.