Geodesic
Revised quadratic subparametric triangular finite element of the second-order accuracy
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 132-145

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The modification of quadratic triangular finite element is presented. The considered 7-nodes element allows to obtain diagonal mass-matrix in FEM-scheme with numerical integration. We give a description of corresponding quadrature rule, which has positive coefficients. Error estimates for homogeneous Dirichlet problem for second order PDE are derived. Numerical experiment results, intended to illustrate the strength of the proved theorem, are shown. 
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     author = {A. K. Safina and R. Z. Dautov},
     title = {Revised quadratic subparametric triangular finite element of the second-order accuracy},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {132--145},
     publisher = {mathdoc},
     volume = {149},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a10/}
}
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A. K. Safina; R. Z. Dautov. Revised quadratic subparametric triangular finite element of the second-order accuracy. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 132-145. http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a10/