[1]纪海峰.一维Stefan问题的浸入界面方法[J].南京师范大学学报(自然科学版),2018,41(02):12.[doi:10.3969/j.issn.1001-4616.2018.02.003]
　Ji Haifeng.An Immersed Interface Method for One Dimensional Stefan Problems[J].Journal of Nanjing Normal University(Natural Science Edition),2018,41(02):12.[doi:10.3969/j.issn.1001-4616.2018.02.003]
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一维Stefan问题的浸入界面方法()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第41卷
期数:
2018年02期
页码:
12
栏目:
·数学与计算机科学·
出版日期:
2018-06-30

文章信息/Info

Title:
An Immersed Interface Method for One Dimensional Stefan Problems
文章编号:
1001-4616(2018)02-0012-04
作者:
纪海峰
南京邮电大学理学院,江苏 南京 210023
Author(s):
Ji Haifeng
School of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China
关键词:
界面问题; 浸入界面; 移动界面
Keywords:
interface problem; immersed interface; moving interface
分类号:
O242
DOI:
10.3969/j.issn.1001-4616.2018.02.003
文献标志码:
A
摘要:
考虑经典的一维Stefan问题的浸入界面数值求解方法. 基于与移动的界面位置无关的网格,构造出时间方向具有一阶精度,空间方向具有二阶精度的有限差分方法. 最后,一些数值例子验证了该方法的收敛精度.
Abstract:
This paper is considered with the immersed interface numerical methods for solving the classic one dimensional Stefan problem. Based on the grid which is independent of the moving interface,a finite different method with first order accuracy in time and second order accuracy in space is developed. Finally,some numerical examples are presented to show the accuracy of the method.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-12-10.
基金项目:国家自然科学基金青年项目(11701291)、江苏省自然科学基金青年项目(BK20160880)、南京邮电大学引进人才科研启动基金(NY216030).
通讯联系人:纪海峰,博士,讲师,研究方向:计算数学. E-mail:hfji@njupt.edu.cn
更新日期/Last Update: 2018-11-06