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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 67–77
(Mi timm1230)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/timm1230 https://www.mathnet.ru/eng/timm/v21/i4/p67
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Abstract page: | 231 | Full-text PDF : | 78 | References: | 37 | First page: | 3 |
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