Some Remarks About Conservation for Residual Distribution Schemes
We are interested in the discretisation of the steady version of hyperbolic problems. We first show that all the known schemes (up to our knowledge) can be rephrased in a common framework. Using this framework, we then show they flux formulation, with an explicit construction of the flux, and thus a...
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| Vydané v: | Journal of computational methods in applied mathematics Ročník 18; číslo 3; s. 327 - 351 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Minsk
De Gruyter
01.07.2018
Walter de Gruyter GmbH |
| Predmet: | |
| ISSN: | 1609-4840, 1609-9389 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | We are interested in the discretisation of the steady version of hyperbolic problems. We first show that all the known schemes (up to our knowledge) can be rephrased in a common framework. Using this framework, we then show they flux formulation, with an explicit construction of the flux, and thus are locally conservative. This is well known for the finite volume schemes or the discontinuous Galerkin ones, much less known for the continuous finite element methods. We also show that Tadmor’s entropy stability formulation can naturally be rephrased in this framework as an additional conservation relation discretisation, and using this, we show some connections with the recent papers [
,
,
,
].
This contribution is an enhanced version of [
]. |
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| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1609-4840 1609-9389 |
| DOI: | 10.1515/cmam-2017-0056 |