[1]吴龙渊,翟术英.椭圆界面问题的高阶差分格式[J].华侨大学学报(自然科学版),2020,41(3):400-406.[doi:10.11830/ISSN.1000-5013.201910005]
　WU Longyuan,ZHAI Shuying.High-Order Finite Difference Scheme for Elliptic Interface Problem[J].Journal of Huaqiao University(Natural Science),2020,41(3):400-406.[doi:10.11830/ISSN.1000-5013.201910005]
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椭圆界面问题的高阶差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第41卷
期数:
2020年第3期
页码:
400-406
栏目:
出版日期:
2020-05-20

文章信息/Info

Title:
High-Order Finite Difference Scheme for Elliptic Interface Problem
文章编号:
1000-5013(2020)03-0400-07
作者:
吴龙渊;  翟术英
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
WU Longyuan;  ZHAI Shuying
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
椭圆界面问题;  混合边界;  四阶Padé逼近;  高阶数值
Keywords:
elliptical interface problem;  mixed boundary;  fourth-order Padé approximation;  higher-order values
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.201910005
文献标志码:
A
摘要:
构造混合边界条件下椭圆界面问题的一个高阶数值格式.在求解区域内部及界面处采用四阶逼近,边界处采用三阶数值格式,得到一个整体四阶精度的求解格式.数值实验证明了格式的高精度及有效性.
Abstract:
In this paper, we propose a high-order finite difference scheme for elliptic interface problems with mixed boundary conditions. The fourth-order approximation is adopted in the solution area and the interface, while a third-order numerical scheme is adopted on the boundary, we obtain a solution scheme with global fourth order accuracy. Numerical experiments are given to illustrate the high accuracy and effectiveness of our scheme.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2019-10-11
通信作者: 翟术英(1986-),女,副教授,博士,主要从事偏微分方程数值解及理论的研究.E-mail:zhaishuying123456@163.com.
基金项目: 国家自然科学基金资助项目(11701196); 华侨大学中青年教师优秀青年科技创新人才资助项目(ZQNYX502); 华侨大学研究生科研创新能力培养计划项目(17013070009)
更新日期/Last Update: 2020-05-20