Immersed finite element methods for parabolic equations with moving interface
Immersed finite element methods for parabolic equations with moving interface
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DOI：
10.1002/num.21722
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发表时间：
2013-03
影响因子：
3.9
通讯作者：
Xiaoming He;Tao Lin;Yanping Lin;Xu Zhang
中科院分区：
文献类型：
--
作者：
Xiaoming He;Tao Lin;Yanping Lin;Xu Zhang
本文提出了求解扩散系数在含时界面上不连续的抛物型方程的三种Crank-Nicolson型浸没有限元方法。这些方法可以使用固定网格，因为IFE可以处理界面跳跃条件，而不需要网格与界面对齐。从精度和计算成本两方面对这些方法进行了分析比较。给出了数值算例，说明了这三种IFE方法的特点。2012 Wiley期刊公司Numer方法偏差式，2013
This article presents three Crank‐Nicolson‐type immersed finite element (IFE) methods for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. These methods can use a fixed mesh because IFEs can handle interface jump conditions without requiring the mesh to be aligned with the interface. These methods will be compared analytically in the sense of accuracy and computational cost. Numerical examples are provided to demonstrate features of these three IFE methods. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013