1 2---- Elastic-Plastic Torsion Problem ----- 3mx: 10 my: 10 4 5 0 TAO, Function value: -0.22024, Residual: 0.458738 6 Residual norms for tao_bnk_ solve. 7 0 KSP Residual norm 0.518567 8 1 KSP Residual norm 0.227853 9 2 KSP Residual norm 0.0519195 10 3 KSP Residual norm 0.0137323 11 4 KSP Residual norm 0.0036597 12 5 KSP Residual norm 0.00107448 13 6 KSP Residual norm 0.000225933 14 7 KSP Residual norm 7.73938e-05 15 8 KSP Residual norm 1.97074e-05 16 9 KSP Residual norm 5.89849e-06 17 10 KSP Residual norm 1.41629e-06 18 1 TAO, Function value: -0.25186, Residual: 0.180492 19 Residual norms for tao_bnk_ solve. 20 0 KSP Residual norm 0.133515 21 1 KSP Residual norm 0.0347053 22 2 KSP Residual norm 0.0106527 23 3 KSP Residual norm 0.00364437 24 4 KSP Residual norm 0.00127409 25 5 KSP Residual norm 0.000405614 26 6 KSP Residual norm 0.000144899 27 7 KSP Residual norm 3.70417e-05 28 8 KSP Residual norm 8.98612e-06 29 9 KSP Residual norm 2.22987e-06 30 10 KSP Residual norm 6.22826e-07 31 2 TAO, Function value: -0.254335, Residual: 0.0708464 32 Residual norms for tao_bnk_ solve. 33 0 KSP Residual norm 0.041877 34 1 KSP Residual norm 0.0144313 35 2 KSP Residual norm 0.00541821 36 3 KSP Residual norm 0.00294276 37 4 KSP Residual norm 0.00113979 38 5 KSP Residual norm 0.000260774 39 6 KSP Residual norm 9.25091e-05 40 7 KSP Residual norm 2.80124e-05 41 8 KSP Residual norm 1.0652e-05 42 9 KSP Residual norm 3.29678e-06 43 10 KSP Residual norm 1.16907e-06 44 11 KSP Residual norm 4.63953e-07 45 12 KSP Residual norm 2.1494e-07 46 3 TAO, Function value: -0.254632, Residual: 0.00181197 47 Residual norms for tao_bnk_ solve. 48 0 KSP Residual norm 0.000910126 49 1 KSP Residual norm 0.000309035 50 2 KSP Residual norm 0.000130715 51 3 KSP Residual norm 4.47937e-05 52 4 KSP Residual norm 1.6128e-05 53 5 KSP Residual norm 6.66337e-06 54 6 KSP Residual norm 2.13076e-06 55 7 KSP Residual norm 1.0738e-06 56 8 KSP Residual norm 4.25672e-07 57 9 KSP Residual norm 1.73696e-07 58 10 KSP Residual norm 6.50271e-08 59 11 KSP Residual norm 2.63976e-08 60 12 KSP Residual norm 1.23463e-08 61 13 KSP Residual norm 4.78759e-09 62 4 TAO, Function value: -0.254632, Residual: 4.78759e-09 63Tao Object: 1 MPI process 64 type: bntr 65 Tao Object: (tao_bnk_cg_) 1 MPI process 66 type: bncg 67 CG Type: ssml_bfgs 68 Skipped Stepdirection Updates: 0 69 Scaled gradient steps: 0 70 Pure gradient steps: 0 71 Not a descent direction: 0 72 Line search fails: 0 73 Matrix has not been preallocated yet 74 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 75 type: more-thuente 76 maximum function evaluations=30 77 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 78 total number of function evaluations=0 79 total number of gradient evaluations=0 80 total number of function/gradient evaluations=0 81 Termination reason: CONTINUE_ITERATING 82 Active Set subset type: subvec 83 convergence tolerances: gatol=1e-08, grtol=1e-08, steptol=0., gttol=0. 84 Residual in Function/Gradient:=0. 85 Objective value=0. 86 total number of iterations=0, (max: 2000) 87 Solver never run 88 Rejected BFGS updates: 0 89 CG steps: 0 90 Newton steps: 4 91 BFGS steps: 0 92 Scaled gradient steps: 0 93 Gradient steps: 0 94 KSP termination reasons: 95 atol: 0 96 rtol: 4 97 ctol: 0 98 negc: 0 99 dtol: 0 100 iter: 0 101 othr: 0 102 TaoLineSearch Object: 1 MPI process 103 type: more-thuente 104 maximum function evaluations=30 105 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 106 total number of function evaluations=0 107 total number of gradient evaluations=0 108 total number of function/gradient evaluations=0 109 using variable bounds 110 Termination reason: CONTINUE_ITERATING 111 KSP Object: (tao_bnk_) 1 MPI process 112 type: stcg 113 maximum iterations=10000, initial guess is zero 114 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 115 left preconditioning 116 using UNPRECONDITIONED norm type for convergence test 117 PC Object: (tao_bnk_) 1 MPI process 118 type: lmvm 119 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 120 type: lmvmbfgs 121 rows=100, cols=100 122 Max. storage: 5 123 Used storage: 3 124 Number of updates: 3 125 Number of rejects: 0 126 Number of resets: 0 127 J0: 128 Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process 129 type: diagonal 130 rows=100, cols=100 131 Vec Object: 1 MPI process 132 type: seq 133 Rescale type: diagonal 134 Rescale history: 1 135 Rescale params: alpha=1., beta=0.5, rho=1. 136 Rescale convex factor: theta=0.125 137 linear system matrix, which is also used to construct the preconditioner: 138 Mat Object: 1 MPI process 139 type: seqaij 140 rows=50, cols=50 141 total: nonzeros=176, allocated nonzeros=176 142 total number of mallocs used during MatSetValues calls=0 143 not using I-node routines 144 total KSP iterations: 45 145 Active Set subset type: subvec 146 convergence tolerances: gatol=1e-08, grtol=1e-08, steptol=0., gttol=0. 147 Residual in Function/Gradient:=4.78759e-09 148 Objective value=-0.254632 149 total number of iterations=4, (max: 50) 150 total number of function/gradient evaluations=14, (max: unlimited) 151 total number of Hessian evaluations=4 152 Solution converged: ||g(X)|| <= gatol 153