An H1-Galerkin Mixed Method for the Coupled Burgers Equation

In this paper, an H1-Galerkin mixed finite element method is discussed for the coupled Burgers equations. The optimal error estimates of the semi-discrete and fully discrete schemes of the coupled Burgers equation are derived.

• Xianbiao Jia
• Hong Li
• Yang Liu
• Zhichao Fang

• The coupled Burgers equation
• H1-Galerkin mixed finite element method
• Backward Euler's method
• Optimal error estimates.

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