------- | SPGMR | ------- idakrydem_lin: Heat equation, serial example problem for IDA Discretized heat equation on 2D unit square. Zero boundary conditions, polynomial initial conditions. Mesh dimensions: 10 x 10 Total system size: 100 Tolerance parameters: rtol = 0 atol = 0.001 Constraints set to force all solution components >= 0. Linear solver: IDASPGMR, preconditioner using diagonal elements. Output Summary (umax = max-norm of solution) time umax k nst nni nje nre nreLS h npe nps ---------------------------------------------------------------------- 0.01 8.24106e-01 2 12 14 7 14 7 2.56e-03 8 21 0.02 6.88134e-01 3 15 18 12 18 12 5.12e-03 8 30 0.04 4.70711e-01 3 18 24 21 24 21 6.58e-03 9 45 0.08 2.16509e-01 3 22 29 30 29 30 1.32e-02 9 59 0.16 4.57687e-02 4 28 36 44 36 44 1.32e-02 9 80 0.32 2.09938e-03 4 35 44 67 44 67 2.63e-02 10 111 0.64 5.54028e-21 1 39 51 77 51 77 1.05e-01 12 128 1.28 0.00000e+00 1 41 53 77 53 77 4.21e-01 14 130 2.56 0.00000e+00 1 43 55 77 55 77 1.69e+00 16 132 5.12 0.00000e+00 1 44 56 77 56 77 3.37e+00 17 133 10.24 0.00000e+00 1 45 57 77 57 77 6.74e+00 18 134 Error test failures = 1 Nonlinear convergence failures = 0 Linear convergence failures = 0 ====================================================================== ------- | SPBCG | ------- idakrydem_lin: Heat equation, serial example problem for IDA Discretized heat equation on 2D unit square. Zero boundary conditions, polynomial initial conditions. Mesh dimensions: 10 x 10 Total system size: 100 Tolerance parameters: rtol = 0 atol = 0.001 Constraints set to force all solution components >= 0. Linear solver: IDASPBCG, preconditioner using diagonal elements. Output Summary (umax = max-norm of solution) time umax k nst nni nje nre nreLS h npe nps ---------------------------------------------------------------------- 0.01 8.24105e-01 2 12 14 8 14 8 2.56e-03 8 22 0.02 6.88129e-01 3 15 18 14 18 14 5.12e-03 8 32 0.04 4.70820e-01 3 19 23 22 23 22 1.02e-02 9 45 0.08 2.16332e-01 3 23 27 32 27 32 1.02e-02 9 59 0.16 4.48774e-02 4 27 33 44 33 44 2.05e-02 10 77 0.32 1.75557e-03 3 33 41 70 41 70 4.10e-02 11 111 0.64 2.47770e-05 1 38 48 82 48 82 1.64e-01 13 130 1.28 5.32183e-21 1 40 50 82 50 82 6.55e-01 15 132 2.56 1.70023e-20 1 41 51 82 51 82 1.31e+00 16 133 5.12 4.92104e-20 1 42 52 82 52 82 2.62e+00 17 134 10.24 8.75827e-20 1 43 53 82 53 82 5.24e+00 18 135 Error test failures = 0 Nonlinear convergence failures = 0 Linear convergence failures = 0 ====================================================================== --------- | SPTFQMR | --------- idakrydem_lin: Heat equation, serial example problem for IDA Discretized heat equation on 2D unit square. Zero boundary conditions, polynomial initial conditions. Mesh dimensions: 10 x 10 Total system size: 100 Tolerance parameters: rtol = 0 atol = 0.001 Constraints set to force all solution components >= 0. Linear solver: IDASPTFQMR, preconditioner using diagonal elements. Output Summary (umax = max-norm of solution) time umax k nst nni nje nre nreLS h npe nps ---------------------------------------------------------------------- 0.01 8.24104e-01 2 12 14 11 14 11 2.56e-03 8 28 0.02 6.88133e-01 3 15 18 19 18 19 5.12e-03 8 42 0.04 4.70857e-01 3 19 23 33 23 33 1.02e-02 9 64 0.08 2.16481e-01 3 23 27 57 27 57 1.02e-02 9 96 0.16 4.51083e-02 4 27 33 84 33 84 2.05e-02 10 133 0.32 1.78483e-03 4 34 42 139 42 139 4.10e-02 11 204 0.64 3.98927e-04 1 39 51 182 51 182 1.47e-01 13 261 1.28 4.68247e-04 1 41 54 198 54 198 5.90e-01 15 281 2.56 7.31035e-05 1 42 55 198 55 198 1.18e+00 16 282 5.12 2.67109e-20 1 43 57 211 57 211 2.36e+00 17 299 10.24 3.30931e-20 1 45 59 211 59 211 4.72e+00 18 301 Error test failures = 0 Nonlinear convergence failures = 0 Linear convergence failures = 0