Table 7 Actual order of convergence for the manufactured solution problem using the nominally fourth order scheme. Density (ρ), total energy (e), and one component of magnetic field (\(B_{x}\)) are shown
ρ | e | \(B_{x}\) | |||||||
|---|---|---|---|---|---|---|---|---|---|
Division | 5 | 6 | 7 | 5 | 6 | 7 | 5 | 6 | 7 |
\(L_{1}\) | 4.3 | 4.1 | 4.0 | 4.3 | 4.1 | 4.0 | 4.1 | 4.0 | 4.0 |
\(L_{\infty }\) | 4.0 | 3.1 | 3.0 | 4.1 | 3.1 | 2.9 | 3.1 | 3.3 | 3.6 |