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Analysis of the order of accuracy for node-centered finite volume schemes
Uppsala University.ORCID iD: 0000-0003-1216-1672
Uppsala University.
2009 (English)Report (Other academic)
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 eliptic 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
Department of Information Technology, Uppsala University , 2009. , p. 23
Series
Technical Report ; 2009-009
National Category
Computational Mathematics Computer Sciences
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-77782OAI: oai:DiVA.org:lnu-77782DiVA, id: diva2:1248207
Available from: 2018-09-14 Created: 2018-09-14 Last updated: 2018-10-09Bibliographically approved

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Eriksson, Sofia

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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Language
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Output format
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