An experimental survey of a posteriori Courant finite element error control for the Poisson equation
An experimental survey of a posteriori Courant finite element error control for the Poisson equation
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DOI：
10.1023/a:1014269318616
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发表时间：
2001-01-01
影响因子：
1.7
通讯作者：
Klose, R
中科院分区：
文献类型：
--
作者：
Carstensen, C;Bartels, S;Klose, R
这种比较的一些后验误差估计的目的是在经验证据的排名，他们的表现符合最低阶有限元离散的泊松模型问题。修改后的残差为基础的误差估计与平均技术和两个估计的基础上解决当地的问题。乘法常数涉及到实现保证的能量误差上限和下限的高阶项。最优策略结合了各种估计量。
This comparison of some a posteriori error estimators aims at empirical evidence for a ranking of their performance for a Poisson model problem with conforming lowest order finite element discretizations. Modified residual-based error estimates compete with averaging techniques and two estimators based on local problem solving. Multiplicative constants are involved to achieve guaranteed upper and lower energy error bounds up to higher order terms. The optimal strategy combines various estimators.