金孟晴,冯新龙,何银年

• 1:新疆大学数学与系统科学学院
• 2:西安交通大学数学与统计学院

摘要(Abstract)：

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（P_1-P_1）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．

关键词(KeyWords)： 曲面对流-扩散-反应方程;曲面混合有限元方法;稳定化方法;inf-sup条件

Abstract:

Keywords:

基金项目(Foundation): 新疆维吾尔自治区重点实验室开放课题（2020D04002）

作者(Author): 金孟晴,冯新龙,何银年

DOI: 10.13568/j.cnki.651094.651316.2021.09.28.0003

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