A new upwind weak Galerkin finite element method for linear hyperbolic equations

A. AL-Taweel; L. Mu

doi:10.1016/j.cam.2020.113376

A new upwind weak Galerkin finite element method for linear hyperbolic equations

A. AL-Taweel
, L. Mu

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we develop a new upwind weak Galerkin finite element scheme for linear hyperbolic equations. The upwind-type stabilizer is imposed in the scheme. An error estimate is investigated for a suitable norm. Finally, numerical examples are presented for validating the theoretical conclusions.

Original language	English
Article number	113376
Journal	Journal of Computational and Applied Mathematics
Volume	390
DOIs	https://doi.org/10.1016/j.cam.2020.113376
State	Published - Jan 16 2021

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abstract = "In this paper, we develop a new upwind weak Galerkin finite element scheme for linear hyperbolic equations. The upwind-type stabilizer is imposed in the scheme. An error estimate is investigated for a suitable norm. Finally, numerical examples are presented for validating the theoretical conclusions.",

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A new upwind weak Galerkin finite element method for linear hyperbolic equations

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