On the Best Constant in the Error Bound for theH10-Projection into Piecewise Polynomial Spaces
On the Best Constant in the Error Bound for theH10-Projection into Piecewise Polynomial Spaces
复制标题
分段多项式空间H10投影误差界的最佳常数
DOI：
10.1006/jath.1998.3172
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发表时间：
1998
影响因子：
0.9
通讯作者：
S. Kimura
中科院分区：
文献类型：
--
作者：
M. Nakao;N. Yamamoto;S. Kimura
给出了H10-投影在分段多项式空间中逼近的显式优先误差界。特别地，对于二次近似，导出了最佳常数，并且获得了三次近似的近最佳值。这些常数在非线性椭圆型方程有限元解的数值验证方法中起着重要的作用。
Explicita priorierror bounds for the approximation by theH10-projection into piecewise polynomial spaces are given. In particular, for the quadratic approximation, the optimal constant is derived, and a nearly optimal value for the cubic is obtained. These constants play an important role in the numerical verification method of finite element solutions for nonlinear elliptic equations.