Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral. The new family of DG method is accomplished by applying divergence theorem to the boundaries integra...

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Bibliographic Details
Main Authors: Ibrahim. M. Rustum, ElHadi. I. Elhadi
Format: Article
Language:English
Published: Omar Al-Mukhtar University 2017-06-01
Series:مجلة المختار للعلوم
Subjects:
Scalar conservation laws
Higher order methods
Discontinuous Galerkin
Divergence theorem
Online Access:https://omu.edu.ly/journals/index.php/mjsc/article/view/124

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