On Finite Element Approximation of the Gradient for Solution of Poisson Equation
Neittaanmäki, P., Saranen, J. (1981). On Finite Element Approximation of the Gradient for Solution of Poisson Equation. Numerische Mathematik 37, 333-337. 10.1007/BF01400312
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A nonconforming mixed finite element method is presented for approximation of ∇w with Δw=f,w| r =0. Convergence of the order∥∇w−uh∥0,Ω=O(h2) is proved, when linear finite elements are used. Only the standard regularity assumption on triangulations is needed.
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