何银年,冯新龙

• 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)：

针对数值求解3维非定常Navier-Stokes方程组时面临的不可压缩条件、非线性和长时间积分性等困难,讨论了能够克服这些困难的高效全离散有限元方法的研究现状和最新研究成果.此外,也阐述了求解3维非定常Navier-Stokes方程组的有限元空间离散解的稳定性、误差估计和高效全离散有限元解的最优误差估计.

关键词(KeyWords)： Navier-Stokes方程组;高效有限元方法;稳定性;最优误差估计

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（11771348;12001466;12071406;U19A2079）

作者(Author): 何银年,冯新龙

DOI: 10.13568/j.cnki.651094.651316.2022.04.09.0001

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