An a posteriori error estimate of the outer normal derivative using dual weights
An a posteriori error estimate of the outer normal derivative using dual weights
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DOI：
10.1137/20m1358219
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发表时间：
2020-08
期刊：
影响因子：
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通讯作者：
S. Bertoluzza;E. Burman;Cuiyu He
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文献类型：
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作者：
S. Bertoluzza;E. Burman;Cuiyu He
我们推导出一个基于残差的后验误差估计的外正规导数的近似泊松问题。通过分析伴随问题的解，我们发现，在块的误差指标可以被定义为更高的顺序比那些靠近边界，这导致更经济的网格。最后用数值例子说明了该理论。
We derive a residual based a-posteriori error estimate for the outer normal derivative of approximations to Poisson's problem. By analyzing the solution of the adjoint problem, we show that error indicators in the bulk may be defined to be of higher order than those close to the boundary, which lead to more economic meshes. The theory is illustrated with some numerical examples.