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Table 6 Actual order of convergence for the manufactured solution problem using the nominally third order scheme. Density (ρ), total energy (e), and one component of magnetic field (\(B_{x}\)) are shown

From: Technologies for supporting high-order geodesic mesh frameworks for computational astrophysics and space sciences

 

ρ

e

\(B_{x}\)

Division

5

6

7

5

6

7

5

6

7

\(L_{1}\)

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

3.0

\(L_{\infty }\)

3.0

2.7

2.6

3.0

2.7

2.5

2.3

2.3

2.3