求解具有间断系数波动方程的浸入有限元方法
Immersed Finite Element Method for Solving Wave Equations with Discontinuous Coefficients
摘要: 数值求解具有间断系数的波动方程在实际工程中有着非常广泛的应用。本文针对具有间断系数的波动方程，提出一种基于界面非拟合网格的浸入有限元方法。该方法具有无需人为调整罚参数的优点。本文给了一系列数值试验，实验结果验证了该方法的有效性。
Abstract: The numerical solution of wave equation with discontinuous coefficient is widely used in practical engineering. In this paper, an immersed finite element method based on interface unfitted meshes is proposed for wave equations with discontinuous coefficients. This method has the advantage of not needing to adjust penalty parameters artificially. In this paper, a series of numerical experiments are given, and the experimental results verify the effectiveness of the method.
文章引用：朱文露. 求解具有间断系数波动方程的浸入有限元方法[J]. 理论数学, 2024, 14(6): 27-35. https://doi.org/10.12677/pm.2024.146224

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