Encyclopedia of Computational Mechanics Second Edition 2017
DOI: 10.1002/9781119176817.ecm2054
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Residual Distribution Schemes: Foundations and Analysis

Abstract: In this article, we introduce and analyze the class of numerical schemes known as residual distribution or fluctuation splitting schemes. The root of this family of discretizations is found mainly in works aiming at generalizing the finite volume techniques to a genuinely multidimensional upwinding context, as in, for example (Hall, Morton, Ni, Roe). However, the final result is a numerical method sharing a lot with other techniques, such as finite element schemes (Carette, Deconinck, Paillere and Roe, 1995). … Show more

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Cited by 7 publications
(4 citation statements)
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“…where i are the degrees of freedom (DoFs). In this work, we consider a linear basis function (so the DoFs coincide with the mesh nodes), which satisfies [29]…”
Section: Steps To Define An Rd Discretizationmentioning
confidence: 99%
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“…where i are the degrees of freedom (DoFs). In this work, we consider a linear basis function (so the DoFs coincide with the mesh nodes), which satisfies [29]…”
Section: Steps To Define An Rd Discretizationmentioning
confidence: 99%
“…1). Now, we briefly recall the main steps required to obtain the spatial RD discretization of (1) (for the details see, e.g., [37,30,29]).…”
Section: Steps To Define An Rd Discretizationmentioning
confidence: 99%
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