Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods
Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods
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DOI：
10.1007/s10915-019-01071-5
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发表时间：
2019-10
影响因子：
2.5
通讯作者：
Cuiyu He;Xu Zhang
中科院分区：
文献类型：
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作者：
Cuiyu He;Xu Zhang
本文介绍并分析了求解椭圆界面问题的部分惩罚浸入有限元法的基于残差的后验误差估计。浸入式有限元法可以很自然地应用于界面非拟合网格。我们的后验误差估计被证明是可靠和有效的可靠性和效率常数独立的接口的位置。数值结果表明，误差估计是稳健的系数对比度。
In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.