Journal of Inequalities and Applications

Table 1 The errors of Example 1

From: Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems

Δ t	h	\(\boldsymbol {\|\!\|\!\|Q_{h}u-u_{h}\|\!\|\!\|}\)	\(\boldsymbol{\|\!\|\!\|R_{h}y-y_{h}\|\!\|\!\|_{1}}\)	\(\boldsymbol {\|\!\|\!\|R_{h}p-p_{h}\|\!\|\!\|_{1}}\)
1/10	1.0e − 1	9.94516e − 2	2.68512e − 2	4.72410e − 2
1/30	5.0e − 2	3.41740e − 2	8.46440e − 3	1.47458e − 2
1/90	2.5e − 2	1.20365e − 2	2.78014e − 3	4.68123e − 3
1/270	1.25e − 2	3.58914e − 3	8.83804e − 4	1.50701e − 3

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