Numerical solutions to linear transfer problems of polarized radiation - III. Parallel preconditioned Krylov solver tailored for modeling PRD effects

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Table 3

Run time (in minutes) to convergence for the solution of Eq. (15) varying N_s = N_p and with Ν_θ = 12, N_χ = 8, and Ν_ν = 99; corresponding iterations are reported in square brackets.

N_p = N_s	70	139	277	553
GMRES	32.7 [32]	37.8 [37]	41.9 [47]	41.7 [48]
PGMRES	8.1 [5]	8.9 [5]	8.9 [5]	9.1 [5]

Notes. The number of unknowns per processors is fixed. For the last column we have Ν ≃ 2.1 × 10⁷ unknowns.

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