【摘要】 研究了曲面对流-扩散-反应方程的有限元逼近问题．通过引入不同形式的中间变量，分别将原方程转化为等价的一阶混合形式．运用混合有限元的思想，直接使用低阶有限元对（P₁-P₁）近似的混合稳定化方法．该方法不仅满足inf-sup条件，而且对于对流占优情况所产生的非物理震荡，可以将其有效地捕捉．最后，数值实验结果表明，测试的收敛结果与已知理论一致．更多还原

【Abstract】 In this paper, the finite element approximation of the convection-diffusion-reaction equation on surfaces is studied. By introducing middle variables of different forms, the original equation is transformed into the equivalent, first-order mixed form. Using the idea of mixed finite element, this paper directly uses the mixed stabilization method of low order finite element pair（P₁-P₁） approximation. The method not only satisfies the well-posed condition, but also can effectively capture the non-physical oscillation caused by convective dominance.Finally, the numerical results show that the convergence results are consistent with the known theory.更多还原