On finite element approximation of the gradient for solution of Poisson equation
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SummaryA nonconforming mixed finite element method is presented for approximation of ∇w with Δw=f,w|r=0. Convergence of the order
$$\left\| {\nabla w - u_h } \right\|_{0,\Omega } = \mathcal{O}(h^2 )$$
is proved, when linear finite elements are used. Only the standard regularity assumption on triangulations is needed.
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