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<title lang=en>A Dynamical Multi-level Scheme for the Burgers Equation: Wavelet and Hierarchical Finite Element</title>
<creator>Debussche, Arnaud</creator>
<creator>Laminie, Jacques</creator>
<creator>Zahrouni, Ezzeddine</creator>
<contributor>Institut de Recherche Mathématique de Rennes (IRMAR) ; Université de Rennes 1 (UR1) - AGROCAMPUS OUEST - École normale supérieure - Rennes (ENS Rennes) - Institut National de Recherche en Informatique et en Automatique (Inria) - Institut National des Sciences Appliquées (INSA) - Université de Rennes 2 (UR2) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Laboratoire de Mathématiques d'Orsay (LM-Orsay) ; Université Paris-Sud - Paris 11 (UP11) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Groupe de Recherche en Informatique et Mathématiques Appliquées Antilles-Guyane (GRIMAAG) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Département de Mathématiques [Monastir] ; Faculté des Sciences de Monastir</contributor>
<description>International audience</description>
<source>ISSN: 0885-7474</source>
<source>EISSN: 1573-7691</source>
<source>Journal of Scientific Computing</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00383423</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00383423</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00383423</source>
<source>Journal of Scientific Computing, Springer Verlag, 2005, 25 (3), pp.445-497. 〈10.1007/s10915-004-4806-4〉</source>
<identifier>DOI : 10.1007/s10915-004-4806-4</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/s10915-004-4806-4</relation>
<language>en</language>
<subject lang=en>Dynamical multi-level scheme</subject>
<subject lang=en>error analysis</subject>
<subject lang=en>Burgers equation</subject>
<subject lang=en>wavelet</subject>
<subject lang=en>hierarchical finite element method</subject>
<subject>76M10 ; 65M60</subject>
<subject>[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Algorithms issued from the NonLinear Galerkin method have been used in many situations and with different discretizations for the resolution of evolutionary nonlinear equations. The main idea of these methods is to use a splitting of the solution in order to model the equation. According to the splitting of the solution, a splitting of the equation is obtained. The modeling principle is to freeze terms which have a small time variation. In this work we use wavelet discretizations of the 2-D Burgers equations and compare the results with the hierarchical finite elements method. The numerical tests indicate that wavelets give better results than finite elements</description>
<date>2005</date>
</dc>
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