Geodesic
A triangular finite element with new approximation properties
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 67-77

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A finite element with new properties of approximation of higher derivatives is constructed, and a method for the construction of a finite element space in the planar case is proposed. The method is based on Yu.N. Subbotin's earlier results as well as on the results obtained in this paper. The resulting piecewise polynomial function possesses the continuity property and new approximation properties.
Mots-clés : multidimensional interpolation, maximum angle condition
Keywords: finite element method, splines on triangulations. 
@article{TIMM_2015_21_4_a6,
     author = {N. V. Baidakova},
     title = {A triangular finite element with new approximation properties},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {67--77},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a6/}
}
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N. V. Baidakova. A triangular finite element with new approximation properties. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 67-77. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a6/