理想流体的Laplace方程有限元解法  

Finite Element Method for Laplace Equation of Ideal Fluid

作　　者：陈瑶[1] 郭元辉 CHEN yao;GUO Yuanhui(School of mathematics and information, China West Normal University,Nanchong,Sichuan 637009;Educational information technology center of Xihua Normal University,Nanchong,Sichuan 637009)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009 [2]西华师范大学教育信息技术中心,四川南充637009

出　　处：《绵阳师范学院学报》2021年第2期1-5,共5页Journal of Mianyang Teachers＇ College

基　　金：西华师范大学英才基金项目(17YC180).

摘　　要：通过理想流体实例引入Laplace方程,用有限元基本理论探讨问题的有解唯一性及基于L2(Ω)范数下的误差结果.MATLAB编程给出问题的数值解,使用PDE-Tool与Freefem++软件编程验证其结果.the Laplace equation is introduced by an example of ideal fluid.The uniqueness of the solution and the error result based on norm are discussed by using the basic theory of finite element.The numerical solution of the problem is given by MATLAB programming,and the results are verified by PDE tool and freefem++software programming.

关 键 词：LAPLACE方程 有限元 L2(Ω)范数 双线性插值 

分 类 号：O241.8[理学—计算数学]