QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS
QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS
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DOI：
10.1051/m2an:1999140
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发表时间：
1999-11
期刊：
影响因子：
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通讯作者：
C. Carstensen
中科院分区：
文献类型：
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作者：
C. Carstensen
证明基于残差的后验误差估计的主要工具之一是基于Clement的拟内插算子。我们在单位分解的情况下修改了这个算子，假设逼近误差有一个局部平均为零。这导致了一种新的基于残差的后验误差估计，其体积贡献小于标准估计。对于一个椭圆模型问题，我们讨论了协调元、非协调元和混合元方法的应用。
One of the main tools in the proof of residual-based a posteriori error estimates is a quasi- interpolation operator due to Cl ement. We modify this operator in the setting of a partition of unity with the eect that the approximation error has a local average zero. This results in a new residual- based a posteriori error estimate with a volume contribution which is smaller than in the standard estimate. For an elliptic model problem, we discuss applications to conforming, nonconforming and mixed nite element methods.