A triangular finite element with new approximation properties


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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 constructed piecewise polynomial function possesses the continuity property and new approximation properties.

About the authors

N. V. Baidakova

Krasovskii Institute of Mathematics and Mechanics

Author for correspondence.
Email: baidakova@imm.uran.ru
Russian Federation, Yekaterinburg, 620990

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