线性Poisson-Boltzmann方程的虚单元L^(2)误差估计  

The Virtual Element L^(2)Error Estimate for Linear Poisson-Boltzmann Equation

作　　者：陈键铧 李倩 阳莺[2,3] CHEN Jianhua;LI Qian;YANG Ying(School of Mathematics and Statistics,Xinyang College,Xinyang 464000,China;School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China;Guangxi Applied Mathematics Center,Guangxi University Key Laboratory of Data Analysis and Computing,Guilin 541004,China)

机构地区：[1]信阳学院数学与统计学院,河南信阳464000 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004 [3]广西应用数学中心(GUET),广西高校数据分析与计算重点实验室,广西桂林541004

出　　处：《应用数学》2024年第3期699-705,共7页Mathematica Applicata

基　　金：国家自然科学基金(12161026);广西自然科学基金(2020GXNSFAA159098);信阳学院校级科研项目(2022XJLYB002);信阳学院校级科研项目(2023XJLYB019)。

摘　　要：针对一类线性Poisson-Boltzmann方程的虚单元L^(2)误差估计进行分析.首先引入正则化的线性Poisson-Boltzmann方程,将原问题转化为非奇性Poisson-Boltzmann方程.然后给出L^(2)范数的误差估计.最后在四边形和五边形混合多边形网格上进行数值实验,数值结果验证了理论分析的正确性.The L^(2)error estimation for a class of linear Poisson-Boltzmann equations is analyzed.Firstly,the regularized linear Poisson-Boltzmann equation is introduced to transform the original problem into non-singular Poisson-Boltzmann equation.Then,the error estimate of the L^(2)norm is given.Finally,numerical experiments are carried out on mixed quadrilateral and pentagonal polygonal mesh,and the numerical results verify the correctness of the theoretical analysis.

关 键 词：POISSON-BOLTZMANN方程 虚单元法 L 2误差估计 混合多边形网格 

分 类 号：O241.82[理学—计算数学]