椭圆界面问题的不连续Galerkin浸入有限体积元法

2014 4th IEEE International Conference on Information Science and Technology Pub Date : 2014-04-26 DOI:10.1109/ICIST.2014.6920344

Zhongyan Liu, Huanzhen Chen

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引用次数: 1

摘要

将试验函数空间选择为浸入式有限元空间，将试验函数空间选择为分段常数函数空间，提出了求解椭圆界面问题的不连续Galerkin浸入式有限体积元方法。证明了离散格式的存在唯一性，得到了数值解的最优能量范数误差估计和l2范数估计。

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Discontinuous Galerkin immerse finite volume element method for elliptic interface problems

By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve the elliptic interface problems. The existence and uniqueness of the discrete scheme is proved, and an optimal energy-norm error estimate and L2-norm estimate for the numerical solution are obtained.

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2014 4th IEEE International Conference on Information Science and Technology

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