Error estimate for convection problem with characteristics method

We consider the numerical approximation of a first order steady-state convective problem by the method of characteristics with pseudo-time step k and Pr discontinuous finite elements on a mesh Th. We show, when the entry flow field is Ω filling and under a technical hypothesis, the existence and the...

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Bibliographic Details
Published inNumerical algorithms Vol. 21; no. 1-4; pp. 49 - 56
Main Authors Baranger, J, Esslaoui, D, Machmoum, A
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.01.1999
Subjects
Mathematical analysis
Method of characteristics
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Summary:We consider the numerical approximation of a first order steady-state convective problem by the method of characteristics with pseudo-time step k and Pr discontinuous finite elements on a mesh Th. We show, when the entry flow field is Ω filling and under a technical hypothesis, the existence and the uniqueness for the continuous and the discrete variational problems (Pk) and P(hk) and we give an error estimate.
ISSN:1017-1398
1572-9265
DOI:10.1023/A:1019188825338