1 ------- 2| SPGMR | 3 ------- 4 5idaKrylovDemo_ls: Heat equation, serial example problem for IDA 6 Discretized heat equation on 2D unit square. 7 Zero boundary conditions, polynomial initial conditions. 8 Mesh dimensions: 10 x 10 Total system size: 100 9 10Tolerance parameters: rtol = 0 atol = 0.001 11Constraints set to force all solution components >= 0. 12Linear solver: SPGMR, preconditioner using diagonal elements. 13 14 Output Summary (umax = max-norm of solution) 15 16 time umax k nst nni nje nre nreLS h npe nps 17---------------------------------------------------------------------- 18 0.01 8.24106e-01 2 12 14 7 14 7 2.56e-03 8 21 19 0.02 6.88134e-01 3 15 18 12 18 12 5.12e-03 8 30 20 0.04 4.70711e-01 3 18 24 21 24 21 6.58e-03 9 45 21 0.08 2.16509e-01 3 22 29 30 29 30 1.32e-02 9 59 22 0.16 4.57687e-02 4 28 36 44 36 44 1.32e-02 9 80 23 0.32 2.09938e-03 4 35 44 67 44 67 2.63e-02 10 111 24 0.64 0.00000e+00 1 39 51 77 51 77 1.05e-01 12 128 25 1.28 0.00000e+00 1 41 53 77 53 77 4.21e-01 14 130 26 2.56 0.00000e+00 1 43 55 77 55 77 1.69e+00 16 132 27 5.12 0.00000e+00 1 44 56 77 56 77 3.37e+00 17 133 28 10.24 0.00000e+00 1 45 57 77 57 77 6.74e+00 18 134 29 30Error test failures = 1 31Nonlinear convergence failures = 0 32Linear convergence failures = 0 33 34====================================================================== 35 36 ------- 37| SPBCGS | 38 ------- 39 40idaKrylovDemo_ls: Heat equation, serial example problem for IDA 41 Discretized heat equation on 2D unit square. 42 Zero boundary conditions, polynomial initial conditions. 43 Mesh dimensions: 10 x 10 Total system size: 100 44 45Tolerance parameters: rtol = 0 atol = 0.001 46Constraints set to force all solution components >= 0. 47Linear solver: SPBCG, preconditioner using diagonal elements. 48 49 Output Summary (umax = max-norm of solution) 50 51 time umax k nst nni nje nre nreLS h npe nps 52---------------------------------------------------------------------- 53 0.01 8.24105e-01 2 12 14 8 14 8 2.56e-03 8 22 54 0.02 6.88129e-01 3 15 18 14 18 14 5.12e-03 8 32 55 0.04 4.70820e-01 3 19 23 22 23 22 1.02e-02 9 45 56 0.08 2.16332e-01 3 23 27 32 27 32 1.02e-02 9 59 57 0.16 4.48774e-02 4 27 33 44 33 44 2.05e-02 10 77 58 0.32 1.75557e-03 3 33 41 70 41 70 4.10e-02 11 111 59 0.64 2.47770e-05 1 38 48 82 48 82 1.64e-01 13 130 60 1.28 2.56426e-22 1 40 50 82 50 82 6.55e-01 15 132 61 2.56 1.42353e-22 1 41 51 82 51 82 1.31e+00 16 133 62 5.12 2.57480e-22 1 42 52 82 52 82 2.62e+00 17 134 63 10.24 5.23935e-22 1 43 53 82 53 82 5.24e+00 18 135 64 65Error test failures = 0 66Nonlinear convergence failures = 0 67Linear convergence failures = 0 68 69====================================================================== 70 71 --------- 72| SPTFQMR | 73 --------- 74 75idaKrylovDemo_ls: Heat equation, serial example problem for IDA 76 Discretized heat equation on 2D unit square. 77 Zero boundary conditions, polynomial initial conditions. 78 Mesh dimensions: 10 x 10 Total system size: 100 79 80Tolerance parameters: rtol = 0 atol = 0.001 81Constraints set to force all solution components >= 0. 82Linear solver: SPTFQMR, preconditioner using diagonal elements. 83 84 Output Summary (umax = max-norm of solution) 85 86 time umax k nst nni nje nre nreLS h npe nps 87---------------------------------------------------------------------- 88 0.01 8.24104e-01 2 12 14 11 14 11 2.56e-03 8 28 89 0.02 6.88133e-01 3 15 18 19 18 19 5.12e-03 8 42 90 0.04 4.70857e-01 3 19 23 33 23 33 1.02e-02 9 64 91 0.08 2.16481e-01 3 23 27 57 27 57 1.02e-02 9 96 92 0.16 4.51083e-02 4 27 33 84 33 84 2.05e-02 10 133 93 0.32 1.78483e-03 4 34 42 139 42 139 4.10e-02 11 204 94 0.64 4.02152e-04 1 39 51 183 51 183 1.47e-01 13 262 95 1.28 4.45713e-04 1 41 54 199 54 199 5.90e-01 15 282 96 2.56 2.12401e-05 1 43 56 201 56 201 1.18e+00 16 286 97 5.12 9.56073e-21 1 45 58 201 58 201 2.36e+00 17 288 98 10.24 4.27772e-20 1 46 59 201 59 201 4.72e+00 18 289 99 100Error test failures = 0 101Nonlinear convergence failures = 0 102Linear convergence failures = 0 103