Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1741–1765
DOI: https://doi.org/10.33048/semi.2020.17.119 (Mi semr1313) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational mathematics

Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the Darcy problem

S. A. Trofimovaab, N. B. Itkinab, È. P. Shurinaab

a Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, 3, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State Technical University, 20, K. Marksa ave., Novosibirsk, 630073, Russia
Full-text PDF (4370 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2020.17.119
Abstract: A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem with a tensor permeability coefficient is considered. Two special hierarchical basis systems in $H^{div}$ space for velocity and in $H^1$ space for pressure are constructed. The influence of these basis on the properties of the matrix of the discrete analogue is investigated.
Keywords: mixed variational formulation, discontinuous Galerkin method, Darcy problem, algebraic multilevel method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0331-2019-0015
0266-2019-0007
Russian Foundation for Basic Research 16-29-15094
Received April 16, 2019, published October 26, 2020
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 35Q04
Language: Russian
Citation: S. A. Trofimova, N. B. Itkina, È. P. Shurina, “Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the Darcy problem”, Sib. Èlektron. Mat. Izv., 17 (2020), 1741–1765
Citation in format AMSBIB
\Bibitem{TroItkShu20}
\by S.~A.~Trofimova, N.~B.~Itkina, \`E.~P.~Shurina
\paper Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the Darcy problem
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1741--1765
\mathnet{http://mi.mathnet.ru/semr1313}
\crossref{https://doi.org/10.33048/semi.2020.17.119}
Linking options:
  • https://www.mathnet.ru/eng/semr1313
  • https://www.mathnet.ru/eng/semr/v17/p1741
    • 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
    Statistics & downloads:
    Abstract page:267
    Full-text PDF :61
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026