标题:
抛物方程基于POD的降阶外推有限元格式A POD-Based Reduced-Order Extrapolating Finite Element Formulation for Parabolic Equations
作者:
腾飞, 孙萍, 罗振东
关键字:
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
期刊名称:
《Advances in Applied Mathematics》, Vol.2 No.3, 2013-07-29
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.