Geodesic
New Estimates of the Error of Approximation of Derivatives under Interpolation of a Function on a Triangle by Polynomials of the Third Degree
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 15-19

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We consider a method of interpolation by polynomials of the third degree which gives continuity of the resulting piecewise polynomial function on the triangulated domain. We get improved estimates for the error of approximation of derivatives of order 3 and keep accuracy of other estimates. 
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N. V. Baidakova. New Estimates of the Error of Approximation of Derivatives under Interpolation of a Function on a Triangle by Polynomials of the Third Degree. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 15-19. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a3/