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TitleFinite volume maximum principle for hyperbolic scalar problems
Author(s)Clain, Stéphane
KeywordsFinite volume scheme
Maximum principle
High-order reconstruction
Positivity preserving
Issue date1-Oct-2013
PublisherSociety for Industrial and Applied Mathematics
JournalSIAM Journal on Numerical Analysis
Abstract(s)We present a new formalism to characterize high-order reconstruction algorithms used in finite volume methods. This formalism provides new tools to examine the properties of these methods. Included in this formalism is the notion of admissible reconstruction methods providing concrete statements regarding the satisfaction of the maximum principle and positivity preservation properties. We demonstrate that the traditional reconstruction limiting algorithms can be recast in our formalism, thus providing new proofs of the maximum principle.
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Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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