An immersed weak Galerkin method for elliptic interface problems
An immersed weak Galerkin method for elliptic interface problems
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DOI：
10.1016/j.cam.2018.08.023
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发表时间：
2018-01
期刊：
影响因子：
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通讯作者：
Lin Mu;Xu Zhang
中科院分区：
文献类型：
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作者：
Lin Mu;Xu Zhang
本文提出了一种求解二阶椭圆型界面问题的浸入式弱Galerkin方法。所提出的方法不需要解决网格与接口对齐。因此，均匀笛卡尔网格可以用于非平凡的界面几何。我们证明了数值算法的存在唯一性，并给出了能量范数下的误差分析。数值结果表明，该方法的性能。
In this paper, we present an immersed weak Galerkin method for solving second-order elliptic interface problems. The proposed method does not require solution meshes to be aligned with the interface. Consequently, uniform Cartesian meshes can be used for nontrivial interfacial geometry. We show the existence and uniqueness of the numerical algorithm, and provide the error analysis in the energy norm. Numerical results are reported to demonstrate the performance of the method.