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Preprints of the Keldysh Institute of Applied Mathematics, 2003, 007, 26 pp. (Mi ipmp880)  
An iteration method for high order finite element schemes. Part I

V. T. Zhukov, O. B. Feodoritova
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Abstract: An approach to development of iterative algorithms for the solution of hp-discretization on unstructured grids is presented. This approach is applied for solution of PDEs (Poisson, anisotropic diffusion, convection-diffusion) discretized by finite element method (FEM) or stabilized FEM. Two variants of the algorithm corresponding to lagrangean and hierarchical FEM bases are designed and studied. The results of numerical experiments are presented to show capability of the algorithm.
Document Type: Preprint
Language: Russian
Citation: V. T. Zhukov, O. B. Feodoritova, “An iteration method for high order finite element schemes. Part I”, Keldysh Institute preprints, 2003, 007, 26 pp.
Citation in format AMSBIB
\Bibitem{ZhuFeo03}
\by V.~T.~Zhukov, O.~B.~Feodoritova
\paper An iteration method for high order finite element schemes. Part~I
\jour Keldysh Institute preprints
\yr 2003
\papernumber 007
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp880}
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  • https://www.mathnet.ru/eng/ipmp/y2003/p7
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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