• 论文 •

### 抛物型界面问题的变网格有限元方法

1. 郑州轻工业大学 数学与信息科学学院, 郑州 450002
• 收稿日期:2018-07-04 出版日期:2020-05-15 发布日期:2020-05-15
• 基金资助:

国家自然科学基金（11501527），郑州轻工业大学青年骨干教师基金（2016XGGJS008）、博士基金（2015BSJJ070）及研究生科技创新项目（2018018）资助.

Guan Hongbo, Hong Yapeng. FINITE ELEMENT METHODS WITH MOVING GRIDS FOR PARABOLIC INTERFACE PROBLEMS[J]. Mathematica Numerica Sinica, 2020, 42(2): 196-206.

### FINITE ELEMENT METHODS WITH MOVING GRIDS FOR PARABOLIC INTERFACE PROBLEMS

Guan Hongbo, Hong Yapeng

1. College of Mathematics and Information Science, Zhengzhou University of Light Industry Zhengzhou 450002, China
• Received:2018-07-04 Online:2020-05-15 Published:2020-05-15

In this paper, the linear triangular finite element methods with moving grids are discussed for the parabolic interface problems. The general idea is applying finite element method in space and choosing difference method with respect to the time variable, respectively, but the grids can be different when the time varies. The optimal order error estimates are obtained without introducing the Ritz projection, which is thought to be a conventional analysis tool. Thus, the analysis procedure is made to be more concise. Numerical examples are provided to verify the theoretical analysis.

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