具有空间测量数据的抛物型方程界面问题的半离散误差估计  

Semi-Discrete Error Estimation of the Interface Problem of Parabolic Equations with Spatial Measurement Data

作　　者：杨勋 罗贤兵 

机构地区：[1]贵州大学,数学与统计学院,贵州 贵阳

出　　处：《运筹与模糊学》2023年第4期4120-4131,共12页Operations Research and Fuzziology

摘　　要：本文研究了具有空间测度数据的线性抛物界面问题的先验误差分析,对于空间的离散我们运用有限元离散得到它的半离散问题,由于测度的正则性较低,所以问题的解在整个域内具有很低的正则性。 利用L2投影算子和对偶性参数,在最小正则性条件下,导出了空间离散有限元逼近的L2范数中的先验误差估计。In this paper, we study the a priori error analysis of linear parabolic interface problems with spatial measure data. For the spatial discretization, we use finite element discretization to obtain its semi-discrete problem;because the measure regularity is low, so the solution of the problem has very low regularity in the whole domain. We derive a prior error estimate in the L2 norm of the spatial discrete finite element approximation under minimum regularity, using the L2 projection operator and the duality parameter.

关 键 词：空间测度数据 半离散 L²范数 先验误差估计 

分 类 号：O17[理学—数学]