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- W2061093068 abstract "Two approaches to deriving the interpolation theorem for narrow quadrilateral isoparametric finite elements not satisfying the condition ρ K h K ⩾ ρ 0 > 0 , ρ K and h K being the radius of inscribed circle and the diameter of the quadrilateral K , respectively, are presented. The first one, using the Bramble-Hilbert lemma, is successful only in deriving the L 2 ( K )-estimate. The nonapplicability of the standard approach via the Bramble-Hilbert lemma in the case of H 1 ( K )-estimate is presented and a fully efficient method giving the optimum rate of convergence O( h ) in the H 1 ( K )-norm is described. In the end, the dependence of the interpolation error on the geometry of a quadrilateral is demonstrated by an example." @default.
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- W2061093068 title "Applicability of the Bramble-Hilbert lemma in interpolation problems of narrow quadrilateral isoparametric finite elements" @default.
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- W2061093068 doi "https://doi.org/10.1016/0377-0427(95)00053-4" @default.
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