AAM  >> Vol. 4 No. 2 (May 2015)

    Immersed Interface Method for Elliptic Interface and Heat Conduction Problem

  • 全文下载: PDF(510KB) HTML   XML   PP.136-149   DOI: 10.12677/AAM.2015.42019  
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张利平,赵建平,张 帅:新疆大学数学与系统科学学院,新疆 乌鲁木齐

椭圆界面问题泰勒展开式一致网格剖分热传导界面问题Elliptic Interface Problem Taylor Expansion Consistent Grid Subdivision Heat Transfer Interface Problem



The study of interface problems has important application background. In this paper immersed interface method is improved, and especially the difficulty about the interface and the area near the interface is discussed. We use this method for solving the one-dimensional elliptic and heat equation. At last based on MATLAB, we give some numerical experiments in order to show the correctness and efficiency of the scheme. The modified immersed interface method can be used for more complicated interface problems.

张利平, 赵建平, 张帅. 椭圆及热传导界面问题浸入界面方法的研究[J]. 应用数学进展, 2015, 4(2): 136-149. http://dx.doi.org/10.12677/AAM.2015.42019


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