Table 4 The errors and convergence rates of \(\pmb{v-v^{hk}}\) in the \(\pmb{L^{2}(L^{2})}\) and \(\pmb{L^{2}(H^{1})}\) norms concerning h
From: Convergence of a space-time continuous Galerkin method for the wave equation
h | Error in \(\boldsymbol{L^{2}(L^{2})}\) | Rate | Error in \(\boldsymbol{L^{2}(H^{1})}\) | Rate |
|---|---|---|---|---|
1/8 | 3.2219e − 2 |  | 1.0523e − 0 |  |
1/16 | 8.0528e − 3 | 2.0004 | 5.2971e − 1 | 0.9903 |
1/32 | 2.0065e − 3 | 2.0048 | 2.6567e − 1 | 0.9955 |
1/64 | 5.0324e − 4 | 1.9953 | 1.3247e − 1 | 1.0040 |