A high order immersed finite element method for parabolic interface problems
A high order immersed finite element method for parabolic interface problems
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DOI：
10.1051/itmconf/20192901007
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发表时间：
2019
影响因子：
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通讯作者：
Derrick Jones;Xu Zhang
中科院分区：
文献类型：
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作者：
Derrick Jones;Xu Zhang
提出了一种求解一维抛物型界面问题的高阶浸入有限元方法。这些方法允许解网格独立于界面。时间推进计划，包括向后欧拉和Crank-Nicolson方法实现完全离散的系统。数值例子来测试我们的数值格式的性能。
We present a high order immersed finite element (IFE) method for solving 1D parabolic interface problems. These methods allow the solution mesh to be independent of the interface. Time marching schemes including Backward-Eulerand Crank-Nicolson methods are implemented to fully discretize the system. Numerical examples are provided to test the performance of our numerical schemes.