Displaying similar documents to “Sharp integral inequalities involving high-order partial derivatives.”

Carlson type inequalities.

Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)

Journal of Inequalities and Applications [electronic only]

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Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients

Xiaofei Guan, Mingxia Li, Wenming He, Zhengwu Jiang (2014)

Open Mathematics

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In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the...