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Analysis of the order of accuracy for node-centered finite volume schemes
Uppsala universitet, Avdelningen för teknisk databehandling.
Uppsala universitet, Avdelningen för teknisk databehandling.ORCID iD: 0000-0002-7972-6183
2009 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 59, no 10, 2659-2676 p.Article in journal (Refereed) Published
Abstract [en]

The order of accuracy of the node-centered finite volume methods is analyzed, and the analysis is based on an exact derivation of the numerical errors in one dimension. The accuracy for various types of grids are considered. Numerical simulations and analysis are performed for both a hyperbolic and a elliptic case, and the results agree. The impact of weakly imposed boundary conditions is analyzed and verified numerically. We show that the error contribution from the primal and dual grid can be treated separately.

Place, publisher, year, edition, pages
Elevier , 2009. Vol. 59, no 10, 2659-2676 p.
Keyword [en]
Accuracy; Finite volume method
National Category
Computational Mathematics Computer Science
Identifiers
URN: urn:nbn:se:liu:diva-68540DOI: 10.1016/j.apnum.2009.06.001ISI: 000268513700023OAI: oai:DiVA.org:liu-68540DiVA: diva2:418798
Note
Original Publication: Sofia Eriksson and Jan Nordström, Analysis of the order of accuracy for node-centered finite volume schemes, 2009, Applied Numerical Mathematics, (59), , 2659-2676. http://dx.doi.org/10.1016/j.apnum.2009.06.001 Copyright: Elsevier Science B.V., Amsterdam. http://www.elsevier.com/ Available from: 2009-06-10 Created: 2011-05-24 Last updated: 2017-12-11

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Eriksson, SofiaNordström, Jan

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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