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Preprints of the Keldysh Institute of Applied Mathematics, 2008, 041, 20 pp. (Mi ipmp393)  

This article is cited in 1 scientific paper (total in 1 paper)

A superelement method for computation of layered mediums

V. T. Zhukov, N. D. Novikova, O. B. Feodoritova
Full-text PDF (336 kB) Citations (1)
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Abstract: А modification of the superelement method is proposed for calculation of layered medium when physical properties are greatly varied in one direction. Such problems appear in geophysics, microelectronics, science of materials, researches of oil and gas fields. The main elements of the method are showed for solving the 3D heat-conduction equation. The suggested scheme uses the finite elements in uniform cells and super-elements in cells crossed by thin layers. An approach to approximate the equation on a domain boundary when boundary intersects a cell is considered. We suppose that generalization of the approach for solving various differential equations including case of anisotropic coefficients is possible.
Keywords: finite superelement method, layered medium.
Document Type: Preprint
Language: Russian
Citation: V. T. Zhukov, N. D. Novikova, O. B. Feodoritova, “A superelement method for computation of layered mediums”, Keldysh Institute preprints, 2008, 041, 20 pp.
Citation in format AMSBIB
\Bibitem{ZhuNovFeo08}
\by V.~T.~Zhukov, N.~D.~Novikova, O.~B.~Feodoritova
\paper A superelement method for computation of layered mediums
\jour Keldysh Institute preprints
\yr 2008
\papernumber 041
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp393}
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  • https://www.mathnet.ru/eng/ipmp393
  • https://www.mathnet.ru/eng/ipmp/y2008/p41
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:134
    Full-text PDF :145
    References:21
     
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