A new mixed finite element method for Burgers’ equation

A new mixed finite element method for Burgers’ equation

In this paper, anH ^sup 1^-Galerkin mixed finite element method is used to approximate the solution as well as the flux of Burgers' equation. Error estimates have been derived. The results of the numerical experiment show the efficacy of the mixed method and justifies the theoretical results ob...

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Veröffentlicht in:Journal of applied mathematics & computing 2007-01, Vol.23 (1-2), p.43-55
Hauptverfasser: Pany, Ambit Kumar, Nataraj, Neela, Singh, Sangita
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Computation
Errors
Estimates
Finite element analysis
Finite element method
Flux
Mathematical analysis
Mathematical models
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Zusammenfassung:In this paper, anH ^sup 1^-Galerkin mixed finite element method is used to approximate the solution as well as the flux of Burgers' equation. Error estimates have been derived. The results of the numerical experiment show the efficacy of the mixed method and justifies the theoretical results obtained in the paper.[PUBLICATION ABSTRACT]
ISSN:1598-5865
1865-2085
DOI:10.1007/BF02831957