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Table 1 Number of basis functions required for the computational element with accuracy up to 5th order [33]

From: Computational simulations of near-continuum gas flow using Navier-Stokes-Fourier equations with slip and jump conditions based on the modal discontinuous Galerkin method

Polynomial order

One-dimensional

Two-dimensional

Three-dimensional

0

1

1

1

1

2

3

4

2

3

6

10

3

4

10

20

4

5

15

35

5

6

21

56