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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 226, 24 pp.
DOI: https://doi.org/10.20948/prepr-2018-226
(Mi ipmp2584)
 

This article is cited in 3 scientific papers (total in 3 papers)

Grid-projection schemes for approximation of the second order partial differential equations on irregular computational meshes

O. G. Olkhovskaya
Full-text PDF (782 kB) Citations (3)
References:
Abstract: A family of grid-projection schemes was constructed for approximation of the second order partial differential equations with a variable coefficient in tensor form. The developed schemes have the property of conservatism and retain the property of self-adjointness inherent to the original differential operator. The proposed schemes are designed to perform calculations on three-dimensional irregular computational meshes, including tetrahedral meshes, mixed meshes (meshes of arbitrary polyhedra) and AMR (oc-tree type).
Keywords: grid-projection scheme, irregular computational mesh, AMR, conservatism, self-adjointness.
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: O. G. Olkhovskaya, “Grid-projection schemes for approximation of the second order partial differential equations on irregular computational meshes”, Keldysh Institute preprints, 2018, 226, 24 pp.
Citation in format AMSBIB
\Bibitem{Olk18}
\by O.~G.~Olkhovskaya
\paper Grid-projection schemes for approximation of the second order partial differential equations on irregular computational meshes
\jour Keldysh Institute preprints
\yr 2018
\papernumber 226
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2584}
\crossref{https://doi.org/10.20948/prepr-2018-226}
\elib{https://elibrary.ru/item.asp?id=36448865}
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  • https://www.mathnet.ru/eng/ipmp2584
  • https://www.mathnet.ru/eng/ipmp/y2018/p226
  • This publication is cited in the following 3 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:122
    Full-text PDF :36
    References:18
     
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