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.

中文翻译：

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线性双曲型方程的迎风弱Galerkin有限元新方法。

在本文中，我们为线性双曲型方程开发了一种新的迎风弱伽勒金有限元方案。该方案中采用了迎风式稳定器。研究误差估计以找到合适的准则。最后，通过数值算例验证了理论结论。