摘要
用特征投影分解(Proper Orthogonal Decomposition,简记POD)方法去建立二维抛物方程的一种基于POD的时间二阶精度的降阶外推有限元格式;并给出误差估计和求解这种降阶外推有限元格式的算法实现。最后用数值例子验证这种基于POD方法降阶外推有限元格式的可行性和有效性。
A POD-based reduced-order extrapolating finite element formulation with second-order time accuracy for two-dimensional parabolic equations is established by using the proper orthogonal decomposition (POD) technique, and the algorithm implementation of error estimation and solution for POD-based reduced- order extrapolating finite element formulation is provided. Finally, a numerical example is used to verify the feasibility and efficiency of the POD-based reduced-order extrapolating finite element formulation method.
作者
腾飞
孙萍
罗振东
Fei Teng;Ping Sun;Zhendong Luo(School of Mathematical Sciences, Kaili College, Kaili;School of Mathematics and Computer Science, Guizhou Normal University, Guiyang;School of Mathematics and Physics, North China Electric Power University, Beijing)
出处
《应用数学进展》
2013年第3期99-106,共8页
Advances in Applied Mathematics
基金
国家自然科学基金(批准号:11271127和11061009)
贵州省科技计划项目(批准号:黔科合J字[2011]2367)。
关键词
特征投影分解方法
降阶外推有限元格式
误差估计
Proper Orthogonal Decomposition (POD) Technique
Reduced-Order Extrapolating Finite Element Formulation
Error Estimate
