Explicit Finite Element Error Estimates for Nonhomogeneous Neumann Problems
Explicit Finite Element Error Estimates for Nonhomogeneous Neumann Problems
复制标题
非齐次诺依曼问题的显式有限元误差估计
DOI：
10.21136/am.2018.0095-18
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Liu Xuefeng
中科院分区：
文献类型：
--
作者：
Li Qin;Liu Xuefeng
本文给出了非齐次Neumann问题有限元解的显式先验误差估计。为此，构造了有限元空间上的超圆，并给出了迹定理中常数的显式上界。最后给出了数值算例，表明所提出的误差估计的收敛速度为0.5。
The paper develops an explicit a priori error estimate for finite element solution to nonhomogeneous Neumann problems. For this purpose, the hypercircle over finite element spaces is constructed and the explicit upper bound of the constant in the trace theorem is given. Numerical examples are shown in the final section, which implies the proposed error estimate has the convergence rate as 0.5.