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An example of high order Residual Distribution scheme using non Lagrange elements

Remi Abgrall 1, 2, * Jirka Trefilick 1
* Corresponding author
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : We are interested in the numerical approximation of non linear hyperbolic problems. The particular class of schemes we are interested in are the so--called Residual Distribution schemes. In their current form, they rely on the Lagrange interpolation of the point values of the approximated functions. This interpretation of the degrees of freedom as point values plays a fundamental role in the derivation of the schemes. The purpose of the present paper is to show that some non Lagrange elements can also do the job, and maybe better. This opens the door to isogeometric analysis in the framework of RDS schemes.
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Submitted on : Sunday, July 12, 2009 - 10:15:32 PM
Last modification on : Wednesday, February 2, 2022 - 3:53:54 PM
Long-term archiving on: : Tuesday, June 15, 2010 - 7:54:40 PM

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Remi Abgrall, Jirka Trefilick. An example of high order Residual Distribution scheme using non Lagrange elements. Journal of Scientific Computing, Springer Verlag, 2009, 45 (1-3), pp.3-25. ⟨inria-00403691⟩

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