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Trefftz Discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport

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Figure

Figure 1: Representation of directions Ω 1 and Ω 2 . If u is an even function of cos φ then u(t, x, Ω 1 ) = u(t, x, Ω 2 ).
Figure 2: Representation of the function f for the P 3 model. On the left σ a = σ s = 1, on the right σ a = 0, σ s = 1.
Figure 3: On the left: Domain and boundary condition for the two dimensional boundary layers test.
Figure 4: Representation of the first variable for the P 3 model. Top left: reference solution
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