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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 67–77 (Mi timm1230)  
A triangular finite element with new approximation properties

N. V. Baidakova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: 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.
Keywords: multidimensional interpolation, finite element method, maximum angle condition, splines on triangulations.
Received: 18.02.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 74–84
DOI: https://doi.org/10.1134/S0081543817020079
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. V. Baidakova, “A triangular finite element with new approximation properties”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 67–77; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 74–84
Citation in format AMSBIB
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\paper A triangular finite element with new approximation properties
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\yr 2015
\vol 21
\issue 4
\pages 67--77
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 74--84
\crossref{https://doi.org/10.1134/S0081543817020079}
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