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 |