• 论文 •

### 椭圆型界面问题的破裂再生核方法

1. 哈尔滨师范大学 数学科学学院, 哈尔滨 150025
• 收稿日期:2021-03-24 出版日期:2022-05-14 发布日期:2022-05-06
• 通讯作者: 牛晶,Email:qq63192678@126.com.
• 基金资助:
哈尔滨师范大学硕士研究生创新科研项目(HSDSSCX2021-13)和国家青年自然科学基金项目 (12101164) 资助.

Yang Xuemin, Niu Jing, Yao Chunhua. BROKEN REPRODUCING KERNEL METHOD FOR ELLIPTIC TYPE INTERFACE PROBLEMS[J]. Mathematica Numerica Sinica, 2022, 44(2): 217-232.

### BROKEN REPRODUCING KERNEL METHOD FOR ELLIPTIC TYPE INTERFACE PROBLEMS

Yang Xuemin, Niu Jing, Yao Chunhua

1. School of Mathematics and Sciences, Harbin Normal University, Harbin 150025, China
• Received:2021-03-24 Online:2022-05-14 Published:2022-05-06

In this paper, based on the problem of one-dimensional elliptic interface, an effective numerical method is proposed. First of all, a brand-new broken reproducing kernel space is built according to the model. Secondly, the approximate solution of this kind of interface problems is given by using the broken reproducing kernel method, and then we discuss the convergence of the method. Finally, the accuracy and stability of this method are explained by several valid numerical examples.

MR(2010)主题分类:

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