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Table 1 Convergence of the error \(\pmb{\|u-u_{h}\|_{L^{2}}}\) with \(\pmb{p=1,2,3}\)

From: A hybridizable direct discontinuous Galerkin method for elliptic problems

Elements p  = 1 p  = 2 p  = 3
Error Order Error Order Error Order
64 4.229e − 01 - 1.270e − 01 - 1.285e − 02 -
256 9.523e − 02 2.15 1.211e − 02 3.39 1.285e − 03 3.32
1,024 2.331e − 02 2.03 1.529e − 03 2.99 8.043e − 05 4.00
4,096 5.802e − 03 2.01 1.916e − 04 3.00 5.030e − 06 4.00