关于渗流有限单元法因时空离散而产生的误差讨论
Discussion on the Error of Finite Element Method due to Spatial and Temporal Discretization
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摘要: 应用有限单元法进行地下水模拟及管理,由于把本来连续的时间和空间离散化,因而会造成一定误差,有时这种误差是不容忽视的.通过计算实例,分析了不同的空间、时间离散格式而产生的误差,应用迭加原理及特征值有限单元法,将因空间和时间离散而产生的误差区分开来,并探讨了减小误差的方法.Abstract: Finite element method is applied more and more widespread in modeling and management of groundwater with computer development. The space and the time must be treated to be discrete, although which are continuous. So the error occurs, which is not negligible sometimes. In this paper, on the basis of dealing with superposition principle and eigenvalue finite element method, the error due to different spatial and temporal discretization is seperated and analysed through a typical example, and an approach is researched to reduce the error.