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Table 2 The approximate results for the pure second derivative

From: A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle

h \(\Vert \omega-\omega_{h}\Vert \) \(\Re_{\omega}^{m}\)
\(\frac{1}{8}\) 3.149059928597543772878E − 6  
\(\frac{1}{16}\) 1.931058119052719414451E − 7 16.31
\(\frac{1}{32}\) 1.180485369727342048019E − 8 16.36
\(\frac{1}{64}\) 7.211217140499053022025E − 10 16.37
\(\frac{1}{128}\) 4.404326492162507264392E − 11 16.37