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P_1型非协调有限元解平均梯度超收敛问题
引用本文:罗平.P_1型非协调有限元解平均梯度超收敛问题[J].怀化学院学报,1991(1).
作者姓名:罗平
作者单位:怀化师专数学系
摘    要:本文证明了即使在一致剖分条件下,用P_1型非协调有限元方法求解Possion方程第一边值问题,有限元解的平均梯度与真解梯度的逼近误差,在L~2模的意义下,已无超收敛。

关 键 词:有限元  非协调  超收敛

Superocnvergence problem for the P_1-nonconforming finite element solvtions averaged gradient
Luo Ping.Superocnvergence problem for the P_1-nonconforming finite element solvtions averaged gradient[J].Journal of Huaihua University,1991(1).
Authors:Luo Ping
Institution:Department of Mathemaiics
Abstract:In this paper, we prove that although the triangulation is uniform meshes when solving possion equation of direchlct problem by the P1-nonconforming finite element method, there are not superconvcrgencc for the convergence rate of the averaged gradient and an exact gradient in the L2-norm.
Keywords:Finite clement  Nonconforming supcrconvergence  
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