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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2004, Volume 7, Number 4, Pages 287–300 (Mi sjvm165)  
On one approach to constructing schemes of increased order of accuracy in the finite element method

A. A. Bubyakina, Yu. M. Laevskyb

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
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Abstract: The paper considers schemes of increased order of accuracy in the finite element method with the same number of degrees of freedom as in the schemes constructed by the Galerkin method with the use of piecewisepolynomial functions. The approach proposed is based on a special choice of the grid scalar products and the right-hand side linear functionals limited on a set of grid functions. The fourth order of accuracy is established in the grid energy norm.
Key words: mixed derivative, finite element, compact scheme, bilinear form, accuracy.
Received: 15.10.2003
Revised: 17.03.2004
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Language: Russian
Citation: A. A. Bubyakin, Yu. M. Laevsky, “On one approach to constructing schemes of increased order of accuracy in the finite element method”, Sib. Zh. Vychisl. Mat., 7:4 (2004), 287–300
Citation in format AMSBIB
\Bibitem{BubLae04}
\by A.~A.~Bubyakin, Yu.~M.~Laevsky
\paper On one approach to constructing schemes of increased order of accuracy in the finite element method
\jour Sib. Zh. Vychisl. Mat.
\yr 2004
\vol 7
\issue 4
\pages 287--300
\mathnet{http://mi.mathnet.ru/sjvm165}
\zmath{https://zbmath.org/?q=an:1068.65135}
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