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This article is cited in 3 scientific papers (total in 3 papers)
The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes
N. B. Petrovskayaab, A. V. Wolkovab a Central Aerohydrodynamic Institute
b University of Birmingham, United Kingdom
Abstract:
We discuss the issues of a higher-order finite-volume and finite-element discretization on anisotropic grids. It will be shown that high order finite-volume schemes are inferior to finite-element schemes in terms of accuracy when stretched meshes are considered. The poor accuracy of finite-volume schemes is discussed based on the idea of numerically distant points that are present in a reconstruction stencil on stretched meshes.
Received: 04.12.2008
Citation:
N. B. Petrovskaya, A. V. Wolkov, “The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes”, Matem. Mod., 22:3 (2010), 145–160
Linking options:
https://www.mathnet.ru/eng/mm2954 https://www.mathnet.ru/eng/mm/v22/i3/p145
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Abstract page: | 605 | Full-text PDF : | 219 | References: | 63 | First page: | 18 |
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