Geodesic
An algorithm for constructing a finite element of the third degree
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 799-814

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The article presents an algorithm of setting Hermite interpolation conditions in tetrahedra of triangulated area in order to obtain a continuous piecewise-polynomial function. The use of the obtained finite element space requires additional restrictions on triangulation as compared with the space under construction using Lagrange interpolation, but the obtained finite element space has a smaller dimension.
Mots-clés : multidimensional interpolation
Keywords: finite elements. 
@article{SEMR_2016_13_a98,
     author = {N. V. Baidakova},
     title = {An algorithm for constructing a finite element of the third degree},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {799--814},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a98/}
}
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N. V. Baidakova. An algorithm for constructing a finite element of the third degree. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 799-814. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a98/