| 凹角区域泊松方程边值问题的CEFE与NBE耦合法求解 |
| |
| 引用本文： | 朱双彪.凹角区域泊松方程边值问题的CEFE与NBE耦合法求解[J].吉首大学学报(自然科学版),2022,43(1):26-30. |
| |
| 作者姓名： | 朱双彪 |
| |
| 作者单位： | （南京财经大学应用数学学院,江苏 南京 210023） |
| |
| 基金项目： | 江苏省高校自然科学研究面上项目（14KJB110007） |
| |
| 摘 要： | 基于自然边界归化原理,给出了曲边有限元与自然边界元耦合法.利用耦合法求解凹角区域上泊松方程的边值问题,得到了近似解的误差估计和收敛性.数值实例验证了耦合法的优越性.
|
| 关 键 词： | 泊松方程 曲边有限元 自然边界元 耦合法 凹角区域 收敛性 误差估计 |
CEFE and NBE Coupling Method for Solving Boundary Value Problems of Poisson Equation in Concave Corner Region |
| |
| ZHU Shuangbiao.CEFE and NBE Coupling Method for Solving Boundary Value Problems of Poisson Equation in Concave Corner Region[J].Journal of Jishou University(Natural Science Edition),2022,43(1):26-30. |
| |
| Authors: | ZHU Shuangbiao |
| |
| Institution: | (School of Applied Mathematics,Nanjing University of Finance ＆ Economics,Nanjing 210023,China) |
| |
| Abstract: | Based on the principle of natural boundary reduction,the coupling method of curved edge finite element and natural boundary element is given.The coupling method is used to solve the boundary value problem of Poisson equation in concave region,and the error estimation and convergence of the approximate solution of the coupling method are obtained.Numerical examples verify the superiority of the coupling method. |
| |
| Keywords: | Poisson equation curved edge finite element natural boundary element coupling method concave area convergence error estimation |
|
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《吉首大学学报(自然科学版)》下载免费的PDF全文 |
