论文标题

多面网格的混合有限元方法

A mixed finite element method on polytopal mesh

论文作者

Lin, Yanping, Ye, Xiu, Zhang, Shangyou

论文摘要

在本文中,我们在多面眼网上引入了新的稳定混合元素,以解决二阶椭圆问题。我们为压力的速度和超级收敛建立了最佳订单误差估计。对于确认该理论的2D和3D空间上不同阶的混合要素进行了数值实验。

In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical experiments are conducted for our mixed elements of different orders on 2D and 3D spaces that confirm the theory.

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