The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes
Matematičeskoe modelirovanie, Tome 22 (2010) no. 3, pp. 145-160

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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.
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     author = {N. B. Petrovskaya and A. V. Wolkov},
     title = {The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {145--160},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_3_a9/}
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N. B. Petrovskaya; A. V. Wolkov. The impact of grid geometry on the accuracy of higher order finite-volume and finite-element schemes. Matematičeskoe modelirovanie, Tome 22 (2010) no. 3, pp. 145-160. http://geodesic.mathdoc.fr/item/MM_2010_22_3_a9/