Geodesic
Independence of interpolation error estimates by fourth-degree polynomials on angles in a~triangle
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 64-74

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The paper considers two methods of Birkhoff-type triangle-based interpolation of two-variable function by fourth-degree polynomials for the finite element method. The error estimates for the given elements depend only on the decomposition diameter, and do not depend on triangulation angles. We show that the estimates obtained are unimprovable.
Mots-clés : error of interpolation, triangulation
Keywords: piecewise polynomial function, finite element method. 
@article{VUU_2011_3_a5,
     author = {N. V. Latypova},
     title = {Independence of interpolation error estimates by fourth-degree polynomials on angles in a~triangle},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {64--74},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a5/}
}
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N. V. Latypova. Independence of interpolation error estimates by fourth-degree polynomials on angles in a~triangle. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 64-74. http://geodesic.mathdoc.fr/item/VUU_2011_3_a5/