Geodesic
Superconvergence of the gradient for cubic triangular finite elements
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 89-100

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Superconvergence of the gradient of approximate solutions to second order elliptic equations is analyzed and justified for the 10-node cubic triangular elements. The existence of superconvergent points is proved. A recovery gradient technique in a subdomain is presented. The superclose property is proved. A rigorous proof of the superconvergent error estimate in a recovered gradient function is obtained. Numerical experiments supporting the theory under study are presented. 
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     author = {A. B. Andreev and T. J. Todorov},
     title = {Superconvergence of the gradient for cubic triangular finite elements},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {89--100},
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     volume = {8},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a0/}
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A. B. Andreev; T. J. Todorov. Superconvergence of the gradient for cubic triangular finite elements. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 2, pp. 89-100. http://geodesic.mathdoc.fr/item/SJVM_2005_8_2_a0/