Geodesic
Error of interpolation by a~piecewise parabolic polynomial on a~triangle
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 91-97

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This paper is devoted to analysing the interpolation of the function of two variables by a parabolic polynomial on a triangle for the finite element method. The estimates of error for a given piecewise parabolic polynomial depend only on the diameter of restricted partition and don't depend on the angles of triangulation.
Mots-clés : error of interpolation, piecewise parabolic polynomial, triangulation
Keywords: finite element method. 
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     author = {N. V. Latypova},
     title = {Error of interpolation by a~piecewise parabolic polynomial on a~triangle},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {91--97},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a6/}
}
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N. V. Latypova. Error of interpolation by a~piecewise parabolic polynomial on a~triangle. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 91-97. http://geodesic.mathdoc.fr/item/VUU_2009_3_a6/