Open kiendangtor opened 5 months ago
marsaev
commented
3 months ago @kiendangtor I apologize for the slow response.
This matrix is quite small to exploit full GPU power. Would you consider direct solve approach here?
Other than that, configurations from provided examples are typical for this type of meshes (of course also depending on what are you trying to solve). I had in mind something like "config scanner" to find best solver options for given matrix, but no ETA on that.
kiendangtor
commented
2 months ago Thank you for your reply. "config scanner" could be awesome. I had bigger mesh with 20mil of non zero but to make the diagnosis easier I attached a very coarse mesh. But the behavior are the same. I was able to successfully run the solver with many configs but all the one that has "MULTICOLOR_DILU" did not work either as a smoother or as preconditioner. Do we need to provide graph separately? I look at the code and it doesnt seem like it need that.
marsaev
commented
2 months ago Understood, thanks. Right, starting with smaller matrix is often easier to put aside what's clearly not working.
Just wanted to clarify some things
1) Do we need to provide graph separately?
At this moment the linear system (A, rhs, optional x_0) is the only input AMGX is working with.
2) I was able to successfully run the solver with many configs
So for the larger system (i.e. 20m NNZ, as you have mentioned above) many configs work, but they are still not fast enough? Or what kind of problem you experience there? Can you provide output of the best performing config for your larger case?
3) all the one that has "MULTICOLOR_DILU" did not work either as a smoother or as preconditioner.
Can you elaborate what you mean here? In general, there is no reason to always use stronger smoother (like ILU), since they can be significantly slower than other smoothers, and we can try to compensate convergence rate by adjusting multigrid structure.
Thanks,
kiendangtor
commented
2 months ago Thank you for your fast response. I have upload the larger system here: https://we.tl/t-ymNm1kBuan
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898 0.0000 8.114793e-04 1.0239
899 0.0000 8.119894e-04 1.0006
900 0.0000 7.745538e-04 0.9539
901 0.0000 7.748123e-04 1.0003
902 0.0000 7.678743e-04 0.9910
903 0.0000 7.640441e-04 0.9950
904 0.0000 7.755048e-04 1.0150
905 0.0000 7.891542e-04 1.0176
906 0.0000 7.742804e-04 0.9812
907 0.0000 7.525522e-04 0.9719
908 0.0000 7.566220e-04 1.0054
909 0.0000 7.469665e-04 0.9872
910 0.0000 7.290903e-04 0.9761
911 0.0000 7.522938e-04 1.0318
912 0.0000 7.442352e-04 0.9893
913 0.0000 7.108979e-04 0.9552
914 0.0000 7.095701e-04 0.9981
915 0.0000 7.070365e-04 0.9964
916 0.0000 7.088656e-04 1.0026
917 0.0000 6.982154e-04 0.9850
918 0.0000 6.753450e-04 0.9672
919 0.0000 6.675135e-04 0.9884
920 0.0000 6.671596e-04 0.9995
921 0.0000 6.708132e-04 1.0055
922 0.0000 6.444531e-04 0.9607
923 0.0000 6.226790e-04 0.9662
924 0.0000 6.230278e-04 1.0006
925 0.0000 6.163252e-04 0.9892
926 0.0000 6.022176e-04 0.9771
927 0.0000 5.991566e-04 0.9949
928 0.0000 5.912835e-04 0.9869
929 0.0000 5.831130e-04 0.9862
930 0.0000 5.700193e-04 0.9775
931 0.0000 5.571408e-04 0.9774
932 0.0000 5.691536e-04 1.0216
933 0.0000 5.579242e-04 0.9803
934 0.0000 5.528541e-04 0.9909
935 0.0000 5.490729e-04 0.9932
936 0.0000 5.333079e-04 0.9713
937 0.0000 5.326629e-04 0.9988
938 0.0000 5.286821e-04 0.9925
939 0.0000 5.300768e-04 1.0026
940 0.0000 5.217623e-04 0.9843
941 0.0000 5.058423e-04 0.9695
942 0.0000 4.945977e-04 0.9778
943 0.0000 4.943199e-04 0.9994
944 0.0000 5.014849e-04 1.0145
945 0.0000 4.948979e-04 0.9869
946 0.0000 4.834331e-04 0.9768
947 0.0000 4.703484e-04 0.9729
948 0.0000 4.760264e-04 1.0121
949 0.0000 4.698934e-04 0.9871
950 0.0000 4.603654e-04 0.9797
951 0.0000 4.505246e-04 0.9786
952 0.0000 4.449649e-04 0.9877
953 0.0000 4.477592e-04 1.0063
954 0.0000 4.486911e-04 1.0021
955 0.0000 4.348044e-04 0.9691
956 0.0000 4.218062e-04 0.9701
957 0.0000 4.101086e-04 0.9723
958 0.0000 4.066455e-04 0.9916
959 0.0000 4.043486e-04 0.9944
960 0.0000 3.920222e-04 0.9695
961 0.0000 3.847938e-04 0.9816
962 0.0000 3.794788e-04 0.9862
963 0.0000 3.799792e-04 1.0013
964 0.0000 3.839192e-04 1.0104
965 0.0000 3.715595e-04 0.9678
966 0.0000 3.647828e-04 0.9818
967 0.0000 3.574942e-04 0.9800
968 0.0000 3.566596e-04 0.9977
969 0.0000 3.477963e-04 0.9751
970 0.0000 3.457679e-04 0.9942
971 0.0000 3.517328e-04 1.0173
972 0.0000 3.450002e-04 0.9809
973 0.0000 3.401140e-04 0.9858
974 0.0000 3.331621e-04 0.9796
975 0.0000 3.234024e-04 0.9707
976 0.0000 3.258192e-04 1.0075
977 0.0000 3.350614e-04 1.0284
978 0.0000 3.334387e-04 0.9952
979 0.0000 3.293452e-04 0.9877
980 0.0000 3.211299e-04 0.9751
981 0.0000 3.210761e-04 0.9998
982 0.0000 3.164181e-04 0.9855
983 0.0000 3.050857e-04 0.9642
984 0.0000 3.012009e-04 0.9873
985 0.0000 3.024822e-04 1.0043
986 0.0000 3.026344e-04 1.0005
987 0.0000 3.086870e-04 1.0200
988 0.0000 3.049964e-04 0.9880
989 0.0000 2.873506e-04 0.9421
990 0.0000 2.834352e-04 0.9864
991 0.0000 2.808062e-04 0.9907
992 0.0000 2.793854e-04 0.9949
993 0.0000 2.865596e-04 1.0257
994 0.0000 2.866176e-04 1.0002
995 0.0000 2.788491e-04 0.9729
996 0.0000 2.758293e-04 0.9892
997 0.0000 2.763111e-04 1.0017
998 0.0000 2.682861e-04 0.9710
999 0.0000 2.601792e-04 0.9698
1000 0.0000 2.596169e-04 0.9978
1001 0.0000 2.616959e-04 1.0080
1002 0.0000 2.535893e-04 0.9690
1003 0.0000 2.456781e-04 0.9688
1004 0.0000 2.442945e-04 0.9944
1005 0.0000 2.418638e-04 0.9900
1006 0.0000 2.453883e-04 1.0146
1007 0.0000 2.476002e-04 1.0090
1008 0.0000 2.420985e-04 0.9778
1009 0.0000 2.323620e-04 0.9598
1010 0.0000 2.233616e-04 0.9613
1011 0.0000 2.289190e-04 1.0249
1012 0.0000 2.321657e-04 1.0142
1013 0.0000 2.274925e-04 0.9799
1014 0.0000 2.191199e-04 0.9632
1015 0.0000 2.175438e-04 0.9928
1016 0.0000 2.220332e-04 1.0206
1017 0.0000 2.172046e-04 0.9783
1018 0.0000 2.097659e-04 0.9658
1019 0.0000 2.036157e-04 0.9707
1020 0.0000 1.994712e-04 0.9796
1021 0.0000 1.959702e-04 0.9824
1022 0.0000 1.930542e-04 0.9851
1023 0.0000 1.909361e-04 0.9890
1024 0.0000 1.903897e-04 0.9971
1025 0.0000 1.917316e-04 1.0070
1026 0.0000 1.910562e-04 0.9965
1027 0.0000 1.833002e-04 0.9594
1028 0.0000 1.776087e-04 0.9689
1029 0.0000 1.754119e-04 0.9876
1030 0.0000 1.745686e-04 0.9952
1031 0.0000 1.718461e-04 0.9844
1032 0.0000 1.664330e-04 0.9685
1033 0.0000 1.644253e-04 0.9879
1034 0.0000 1.606550e-04 0.9771
1035 0.0000 1.561615e-04 0.9720
1036 0.0000 1.522687e-04 0.9751
1037 0.0000 1.486872e-04 0.9765
1038 0.0000 1.492920e-04 1.0041
1039 0.0000 1.525888e-04 1.0221
1040 0.0000 1.458966e-04 0.9561
1041 0.0000 1.426591e-04 0.9778
1042 0.0000 1.399706e-04 0.9812
1043 0.0000 1.379055e-04 0.9852
1044 0.0000 1.389959e-04 1.0079
1045 0.0000 1.386503e-04 0.9975
1046 0.0000 1.380247e-04 0.9955
1047 0.0000 1.357530e-04 0.9835
1048 0.0000 1.356600e-04 0.9993
1049 0.0000 1.340695e-04 0.9883
1050 0.0000 1.305877e-04 0.9740
1051 0.0000 1.261571e-04 0.9661
1052 0.0000 1.238009e-04 0.9813
1053 0.0000 1.238562e-04 1.0004
1054 0.0000 1.280320e-04 1.0337
1055 0.0000 1.288540e-04 1.0064
1056 0.0000 1.192187e-04 0.9252
1057 0.0000 1.171484e-04 0.9826
1058 0.0000 1.177575e-04 1.0052
1059 0.0000 1.160407e-04 0.9854
1060 0.0000 1.192555e-04 1.0277
1061 0.0000 1.145663e-04 0.9607
1062 0.0000 1.119191e-04 0.9769
1063 0.0000 1.113072e-04 0.9945
1064 0.0000 1.066629e-04 0.9583
1065 0.0000 1.082836e-04 1.0152
1066 0.0000 1.094147e-04 1.0104
1067 0.0000 1.078406e-04 0.9856
1068 0.0000 1.059389e-04 0.9824
1069 0.0000 1.025855e-04 0.9683
1070 0.0000 1.065688e-04 1.0388
1071 0.0000 1.038323e-04 0.9743
1072 0.0000 1.005078e-04 0.9680
1073 0.0000 9.960116e-05 0.9910
1074 0.0000 9.555465e-05 0.9594
1075 0.0000 9.389676e-05 0.9826
1076 0.0000 9.329190e-05 0.9936
1077 0.0000 9.168408e-05 0.9828
1078 0.0000 9.045320e-05 0.9866
1079 0.0000 9.012966e-05 0.9964
1080 0.0000 8.915993e-05 0.9892
1081 0.0000 8.807006e-05 0.9878
1082 0.0000 8.689666e-05 0.9867
1083 0.0000 8.928345e-05 1.0275
1084 0.0000 8.881869e-05 0.9948
1085 0.0000 8.305333e-05 0.9351
1086 0.0000 8.164746e-05 0.9831
1087 0.0000 8.361787e-05 1.0241
1088 0.0000 8.482257e-05 1.0144
1089 0.0000 8.102409e-05 0.9552
1090 0.0000 7.804316e-05 0.9632
1091 0.0000 7.777590e-05 0.9966
1092 0.0000 7.698070e-05 0.9898
1093 0.0000 7.617721e-05 0.9896
1094 0.0000 7.785015e-05 1.0220
1095 0.0000 7.908359e-05 1.0158
1096 0.0000 7.586426e-05 0.9593
1097 0.0000 7.311162e-05 0.9637
1098 0.0000 7.077980e-05 0.9681
1099 0.0000 7.057252e-05 0.9971
1100 0.0000 7.018112e-05 0.9945
1101 0.0000 6.975981e-05 0.9940
1102 0.0000 7.069918e-05 1.0135
1103 0.0000 6.917076e-05 0.9784
1104 0.0000 6.798418e-05 0.9828
1105 0.0000 6.724114e-05 0.9891
1106 0.0000 6.722599e-05 0.9998
1107 0.0000 6.703655e-05 0.9972
1108 0.0000 6.766579e-05 1.0094
1109 0.0000 6.728036e-05 0.9943
1110 0.0000 6.337604e-05 0.9420
1111 0.0000 6.185643e-05 0.9760
1112 0.0000 6.180634e-05 0.9992
1113 0.0000 6.237878e-05 1.0093
1114 0.0000 6.059123e-05 0.9713
1115 0.0000 5.896654e-05 0.9732
1116 0.0000 5.900299e-05 1.0006
1117 0.0000 5.988532e-05 1.0150
1118 0.0000 5.821689e-05 0.9721
1119 0.0000 5.568219e-05 0.9565
1120 0.0000 5.459460e-05 0.9805
1121 0.0000 5.404070e-05 0.9899
1122 0.0000 5.327976e-05 0.9859
1123 0.0000 5.329041e-05 1.0002
1124 0.0000 5.310982e-05 0.9966
1125 0.0000 5.209220e-05 0.9808
1126 0.0000 5.205710e-05 0.9993
1127 0.0000 5.152420e-05 0.9898
1128 0.0000 5.079353e-05 0.9858
1129 0.0000 4.902484e-05 0.9652
1130 0.0000 4.714705e-05 0.9617
1131 0.0000 4.671814e-05 0.9909
1132 0.0000 4.722716e-05 1.0109
1133 0.0000 4.672086e-05 0.9893
1134 0.0000 4.591729e-05 0.9828
1135 0.0000 4.543921e-05 0.9896
1136 0.0000 4.455681e-05 0.9806
1137 0.0000 4.512239e-05 1.0127
1138 0.0000 4.406280e-05 0.9765
1139 0.0000 4.304828e-05 0.9770
1140 0.0000 4.228005e-05 0.9822
1141 0.0000 4.117294e-05 0.9738
1142 0.0000 4.094077e-05 0.9944
1143 0.0000 4.121272e-05 1.0066
1144 0.0000 4.008860e-05 0.9727
1145 0.0000 3.926912e-05 0.9796
1146 0.0000 3.884349e-05 0.9892
1147 0.0000 3.774906e-05 0.9718
1148 0.0000 3.682124e-05 0.9754
1149 0.0000 3.645388e-05 0.9900
1150 0.0000 3.626818e-05 0.9949
1151 0.0000 3.691003e-05 1.0177
1152 0.0000 3.568361e-05 0.9668
1153 0.0000 3.417539e-05 0.9577
1154 0.0000 3.359662e-05 0.9831
1155 0.0000 3.366826e-05 1.0021
1156 0.0000 3.365647e-05 0.9996
1157 0.0000 3.293674e-05 0.9786
1158 0.0000 3.176295e-05 0.9644
1159 0.0000 3.052760e-05 0.9611
1160 0.0000 3.032254e-05 0.9933
1161 0.0000 2.970485e-05 0.9796
1162 0.0000 2.880702e-05 0.9698
1163 0.0000 2.869126e-05 0.9960
1164 0.0000 2.866974e-05 0.9992
1165 0.0000 2.925789e-05 1.0205
1166 0.0000 2.978360e-05 1.0180
1167 0.0000 2.862327e-05 0.9610
1168 0.0000 2.773773e-05 0.9691
1169 0.0000 2.713071e-05 0.9781
1170 0.0000 2.739368e-05 1.0097
1171 0.0000 2.752526e-05 1.0048
1172 0.0000 2.726573e-05 0.9906
1173 0.0000 2.669564e-05 0.9791
1174 0.0000 2.588392e-05 0.9696
1175 0.0000 2.542371e-05 0.9822
1176 0.0000 2.491846e-05 0.9801
1177 0.0000 2.492559e-05 1.0003
1178 0.0000 2.416940e-05 0.9697
1179 0.0000 2.377181e-05 0.9835
1180 0.0000 2.363671e-05 0.9943
1181 0.0000 2.398205e-05 1.0146
1182 0.0000 2.405632e-05 1.0031
1183 0.0000 2.271367e-05 0.9442
1184 0.0000 2.249473e-05 0.9904
1185 0.0000 2.231221e-05 0.9919
1186 0.0000 2.193788e-05 0.9832
1187 0.0000 2.178802e-05 0.9932
1188 0.0000 2.121793e-05 0.9738
1189 0.0000 2.104937e-05 0.9921
1190 0.0000 2.149159e-05 1.0210
1191 0.0000 2.074685e-05 0.9653
1192 0.0000 2.000348e-05 0.9642
1193 0.0000 2.010386e-05 1.0050
1194 0.0000 1.991699e-05 0.9907
1195 0.0000 1.964748e-05 0.9865
1196 0.0000 1.946989e-05 0.9910
1197 0.0000 1.925539e-05 0.9890
1198 0.0000 1.917586e-05 0.9959
1199 0.0000 1.894290e-05 0.9879
1200 0.0000 1.899356e-05 1.0027
1201 0.0000 1.884265e-05 0.9921
1202 0.0000 1.807620e-05 0.9593
1203 0.0000 1.796752e-05 0.9940
1204 0.0000 1.803827e-05 1.0039
1205 0.0000 1.774020e-05 0.9835
1206 0.0000 1.721043e-05 0.9701
1207 0.0000 1.674415e-05 0.9729
1208 0.0000 1.658830e-05 0.9907
1209 0.0000 1.667041e-05 1.0050
1210 0.0000 1.703125e-05 1.0216
1211 0.0000 1.649411e-05 0.9685
1212 0.0000 1.617734e-05 0.9808
1213 0.0000 1.657556e-05 1.0246
1214 0.0000 1.634708e-05 0.9862
1215 0.0000 1.587665e-05 0.9712
1216 0.0000 1.564958e-05 0.9857
1217 0.0000 1.550977e-05 0.9911
1218 0.0000 1.568440e-05 1.0113
1219 0.0000 1.520927e-05 0.9697
1220 0.0000 1.467077e-05 0.9646
1221 0.0000 1.451754e-05 0.9896
1222 0.0000 1.433151e-05 0.9872
1223 0.0000 1.443223e-05 1.0070
1224 0.0000 1.450418e-05 1.0050
1225 0.0000 1.426128e-05 0.9833
1226 0.0000 1.393596e-05 0.9772
1227 0.0000 1.368879e-05 0.9823
1228 0.0000 1.374039e-05 1.0038
1229 0.0000 1.369593e-05 0.9968
1230 0.0000 1.353448e-05 0.9882
----------------------------------------------------------------------
Total Iterations: 1231
Avg Convergence Rate: 0.9888
Final Residual: 1.353448e-05
Total Reduction in Residual: 9.996766e-07
Maximum Memory Usage: 0.000 GB
----------------------------------------------------------------------Total Time: 5.72287 setup: 0.000170048 s solve: 5.7227 s solve(per iteration): 0.00464882 s
0(D) 1507876 113305856 1 4.98e-05 1.3
1(D) 281692 31103364 1 0.000392 0.706
2(D) 39859 4883517 1 0.00307 0.111
3(D) 4793 328295 1 0.0143 0.00753
4(D) 762 35364 1 0.0609 0.000822
5(D) 198 7160 1 0.183 0.000168
6(D) 60 1622 1 0.451 3.88e-05
7(D) 18 254 1 0.784 6.45e-06
8(D) 6 36 1 1 9.98e-07
----------------------------------------------------------------------
Grid Complexity: 1.21712
Operator Complexity: 1.3209
Total Memory Usage: 2.12977 GB
----------------------------------------------------------------------
iter Mem Usage (GB) residual rate
----------------------------------------------------------------------
Ini 4.50732 1.353886e+01
0 4.50732 9.552636e+00 0.7056
1 4.5073 6.826744e+00 0.7146
2 4.5073 5.451789e+00 0.7986
3 4.5073 4.193551e+00 0.7692
4 4.5073 3.318682e+00 0.7914
5 4.5073 2.696656e+00 0.8126
6 4.5073 2.253779e+00 0.8358
7 4.5073 1.897404e+00 0.8419
8 4.5073 1.605763e+00 0.8463
9 4.5073 1.371794e+00 0.8543
10 4.5073 1.280317e+00 0.9333
11 4.5073 1.165342e+00 0.9102
12 4.5073 1.044937e+00 0.8967
13 4.5073 9.311771e-01 0.8911
14 4.5073 8.317691e-01 0.8932
15 4.5073 7.104873e-01 0.8542
16 4.5073 6.342603e-01 0.8927
17 4.5073 5.645147e-01 0.8900
18 4.5073 5.062215e-01 0.8967
19 4.5073 4.567174e-01 0.9022
20 4.5073 4.388230e-01 0.9608
21 4.5073 4.211402e-01 0.9597
22 4.5073 3.973845e-01 0.9436
23 4.5073 3.710982e-01 0.9339
24 4.5073 3.424965e-01 0.9229
25 4.5073 3.155958e-01 0.9215
26 4.5073 2.966112e-01 0.9398
27 4.5073 2.795076e-01 0.9423
28 4.5073 2.635899e-01 0.9431
29 4.5073 2.461252e-01 0.9337
30 4.5073 2.365946e-01 0.9613
31 4.5073 2.264181e-01 0.9570
32 4.5073 2.144454e-01 0.9471
33 4.5073 2.034822e-01 0.9489
34 4.5073 1.939666e-01 0.9532
35 4.5073 1.830933e-01 0.9439
36 4.5073 1.759580e-01 0.9610
37 4.5073 1.689407e-01 0.9601
38 4.5073 1.625273e-01 0.9620
39 4.5073 1.567911e-01 0.9647
40 4.5073 1.523330e-01 0.9716
41 4.5073 1.482169e-01 0.9730
42 4.5073 1.430960e-01 0.9655
43 4.5073 1.379123e-01 0.9638
44 4.5073 1.318838e-01 0.9563
45 4.5073 1.262892e-01 0.9576
46 4.5073 1.216729e-01 0.9634
47 4.5073 1.172642e-01 0.9638
48 4.5073 1.136271e-01 0.9690
49 4.5073 1.098468e-01 0.9667
50 4.5073 1.073779e-01 0.9775
51 4.5073 1.044496e-01 0.9727
52 4.5073 1.007739e-01 0.9648
53 4.5073 9.737754e-02 0.9663
54 4.5073 9.470861e-02 0.9726
55 4.5073 9.166303e-02 0.9678
56 4.5073 8.969872e-02 0.9786
57 4.5073 8.761253e-02 0.9767
58 4.5073 8.539046e-02 0.9746
59 4.5073 8.346770e-02 0.9775
60 4.5073 8.175577e-02 0.9795
61 4.5073 8.011439e-02 0.9799
62 4.5073 7.851187e-02 0.9800
63 4.5073 7.699035e-02 0.9806
64 4.5073 7.499845e-02 0.9741
65 4.5073 7.315360e-02 0.9754
66 4.5073 7.119191e-02 0.9732
67 4.5073 6.927591e-02 0.9731
68 4.5073 6.783679e-02 0.9792
69 4.5073 6.647737e-02 0.9800
70 4.5073 6.545250e-02 0.9846
71 4.5073 6.426370e-02 0.9818
72 4.5073 6.257041e-02 0.9737
73 4.5073 6.100275e-02 0.9749
74 4.5073 5.987852e-02 0.9816
75 4.5073 5.862508e-02 0.9791
76 4.5073 5.780494e-02 0.9860
77 4.5073 5.687329e-02 0.9839
78 4.5073 5.563071e-02 0.9782
79 4.5073 5.456461e-02 0.9808
80 4.5073 5.351356e-02 0.9807
81 4.5073 5.255514e-02 0.9821
82 4.5073 5.177287e-02 0.9851
83 4.5073 5.106999e-02 0.9864
84 4.5073 5.012493e-02 0.9815
85 4.5073 4.921204e-02 0.9818
86 4.5073 4.799043e-02 0.9752
87 4.5073 4.670630e-02 0.9732
88 4.5073 4.583710e-02 0.9814
89 4.5073 4.502878e-02 0.9824
90 4.5073 4.445102e-02 0.9872
91 4.5073 4.367765e-02 0.9826
92 4.5073 4.254507e-02 0.9741
93 4.5073 4.147386e-02 0.9748
94 4.5073 4.078047e-02 0.9833
95 4.5073 4.004918e-02 0.9821
96 4.5073 3.958986e-02 0.9885
97 4.5073 3.904670e-02 0.9863
98 4.5073 3.819285e-02 0.9781
99 4.5073 3.743150e-02 0.9801
100 4.5073 3.671366e-02 0.9808
101 4.5073 3.597912e-02 0.9800
102 4.5073 3.552583e-02 0.9874
103 4.5073 3.510992e-02 0.9883
104 4.5073 3.452025e-02 0.9832
105 4.5073 3.394837e-02 0.9834
106 4.5073 3.301806e-02 0.9726
107 4.5073 3.206440e-02 0.9711
108 4.5073 3.147588e-02 0.9816
109 4.5073 3.095063e-02 0.9833
110 4.5073 3.051699e-02 0.9860
111 4.5073 3.003388e-02 0.9842
112 4.5073 2.918968e-02 0.9719
113 4.5073 2.837800e-02 0.9722
114 4.5073 2.792080e-02 0.9839
115 4.5073 2.745213e-02 0.9832
116 4.5073 2.715536e-02 0.9892
117 4.5073 2.684906e-02 0.9887
118 4.5073 2.618969e-02 0.9754
119 4.5073 2.561850e-02 0.9782
120 4.5073 2.506056e-02 0.9782
121 4.5073 2.451296e-02 0.9781
122 4.5073 2.423323e-02 0.9886
123 4.5073 2.397209e-02 0.9892
124 4.5073 2.358096e-02 0.9837
125 4.5073 2.317335e-02 0.9827
126 4.5073 2.252357e-02 0.9720
127 4.5073 2.182169e-02 0.9688
128 4.5073 2.142175e-02 0.9817
129 4.5073 2.106657e-02 0.9834
130 4.5073 2.076983e-02 0.9859
131 4.5073 2.043719e-02 0.9840
132 4.5073 1.982875e-02 0.9702
133 4.5073 1.925887e-02 0.9713
134 4.5073 1.892543e-02 0.9827
135 4.5073 1.861500e-02 0.9836
136 4.5073 1.841600e-02 0.9893
137 4.5073 1.822721e-02 0.9897
138 4.5073 1.774987e-02 0.9738
139 4.5073 1.723753e-02 0.9711
140 4.5073 1.675373e-02 0.9719
141 4.5073 1.636719e-02 0.9769
142 4.5073 1.617550e-02 0.9883
143 4.5073 1.600921e-02 0.9897
144 4.5073 1.578544e-02 0.9860
145 4.5073 1.549496e-02 0.9816
146 4.5073 1.508306e-02 0.9734
147 4.5073 1.456481e-02 0.9656
148 4.5073 1.427043e-02 0.9798
149 4.5073 1.402647e-02 0.9829
150 4.5073 1.384524e-02 0.9871
151 4.5073 1.359538e-02 0.9820
152 4.5073 1.315202e-02 0.9674
153 4.5073 1.278672e-02 0.9722
154 4.5073 1.253887e-02 0.9806
155 4.5073 1.235779e-02 0.9856
156 4.5073 1.223345e-02 0.9899
157 4.5073 1.210488e-02 0.9895
158 4.5073 1.180894e-02 0.9756
159 4.5073 1.147988e-02 0.9721
160 4.5073 1.116957e-02 0.9730
161 4.5073 1.092455e-02 0.9781
162 4.5073 1.079219e-02 0.9879
163 4.5073 1.069048e-02 0.9906
164 4.5073 1.054792e-02 0.9867
165 4.5073 1.033906e-02 0.9802
166 4.5073 1.006528e-02 0.9735
167 4.5073 9.688645e-03 0.9626
168 4.5073 9.485966e-03 0.9791
169 4.5073 9.321227e-03 0.9826
170 4.5073 9.195419e-03 0.9865
171 4.5073 9.021929e-03 0.9811
172 4.5073 8.718005e-03 0.9663
173 4.5073 8.466200e-03 0.9711
174 4.5073 8.285718e-03 0.9787
175 4.5073 8.173952e-03 0.9865
176 4.5073 8.095984e-03 0.9905
177 4.5073 8.004101e-03 0.9887
178 4.5073 7.829951e-03 0.9782
179 4.5073 7.643146e-03 0.9761
180 4.5073 7.462735e-03 0.9764
181 4.5073 7.309771e-03 0.9795
182 4.5073 7.223806e-03 0.9882
183 4.5073 7.155744e-03 0.9906
184 4.5073 7.058219e-03 0.9864
185 4.5073 6.910895e-03 0.9791
186 4.5073 6.705845e-03 0.9703
187 4.5073 6.452930e-03 0.9623
188 4.5073 6.324550e-03 0.9801
189 4.5073 6.209451e-03 0.9818
190 4.5073 6.117331e-03 0.9852
191 4.5073 6.002762e-03 0.9813
192 4.5073 5.795177e-03 0.9654
193 4.5073 5.617591e-03 0.9694
194 4.5073 5.492606e-03 0.9778
195 4.5073 5.417069e-03 0.9862
196 4.5073 5.365974e-03 0.9906
197 4.5073 5.306792e-03 0.9890
198 4.5073 5.199231e-03 0.9797
199 4.5073 5.089314e-03 0.9789
200 4.5073 4.984597e-03 0.9794
201 4.5073 4.885234e-03 0.9801
202 4.5073 4.831392e-03 0.9890
203 4.5073 4.785620e-03 0.9905
204 4.5073 4.720878e-03 0.9865
205 4.5073 4.617083e-03 0.9780
206 4.5073 4.473098e-03 0.9688
207 4.5073 4.298896e-03 0.9611
208 4.5073 4.211524e-03 0.9797
209 4.5073 4.126273e-03 0.9798
210 4.5073 4.054650e-03 0.9826
211 4.5073 3.976860e-03 0.9808
212 4.5073 3.832365e-03 0.9637
213 4.5073 3.712143e-03 0.9686
214 4.5073 3.627296e-03 0.9771
215 4.5073 3.576847e-03 0.9861
216 4.5073 3.542947e-03 0.9905
217 4.5073 3.507197e-03 0.9899
218 4.5073 3.438890e-03 0.9805
219 4.5073 3.373210e-03 0.9809
220 4.5073 3.309594e-03 0.9811
221 4.5073 3.246149e-03 0.9808
222 4.5073 3.212992e-03 0.9898
223 4.5073 3.182623e-03 0.9905
224 4.5073 3.138007e-03 0.9860
225 4.5073 3.063484e-03 0.9763
226 4.5073 2.962185e-03 0.9669
227 4.5073 2.842631e-03 0.9596
228 4.5073 2.782643e-03 0.9789
229 4.5073 2.721328e-03 0.9780
230 4.5073 2.669796e-03 0.9811
231 4.5073 2.615614e-03 0.9797
232 4.5073 2.516624e-03 0.9622
233 4.5073 2.433075e-03 0.9668
234 4.5073 2.372982e-03 0.9753
235 4.5073 2.338936e-03 0.9857
236 4.5073 2.316631e-03 0.9905
237 4.5073 2.293694e-03 0.9901
238 4.5073 2.248138e-03 0.9801
239 4.5073 2.206995e-03 0.9817
240 4.5073 2.167269e-03 0.9820
241 4.5073 2.124825e-03 0.9804
242 4.5073 2.103450e-03 0.9899
243 4.5073 2.083674e-03 0.9906
244 4.5073 2.054267e-03 0.9859
245 4.5073 2.001011e-03 0.9741
246 4.5073 1.930307e-03 0.9647
247 4.5073 1.848721e-03 0.9577
248 4.5073 1.808268e-03 0.9781
249 4.5073 1.763726e-03 0.9754
250 4.5073 1.726539e-03 0.9789
251 4.5073 1.689947e-03 0.9788
252 4.5073 1.624000e-03 0.9610
253 4.5073 1.565009e-03 0.9637
254 4.5073 1.522738e-03 0.9730
255 4.5073 1.500731e-03 0.9855
256 4.5073 1.486607e-03 0.9906
257 4.5073 1.472336e-03 0.9904
258 4.5073 1.442995e-03 0.9801
259 4.5073 1.401880e-03 0.9715
260 4.5073 1.363245e-03 0.9724
261 4.5073 1.338839e-03 0.9821
262 4.5073 1.324971e-03 0.9896
263 4.5073 1.314374e-03 0.9920
264 4.5073 1.297219e-03 0.9869
265 4.5073 1.265595e-03 0.9756
266 4.5073 1.219403e-03 0.9635
267 4.5073 1.165827e-03 0.9561
268 4.5073 1.136158e-03 0.9746
269 4.5073 1.106047e-03 0.9735
270 4.5073 1.081060e-03 0.9774
271 4.5073 1.057849e-03 0.9785
272 4.5073 1.011653e-03 0.9563
273 4.5073 9.744879e-04 0.9633
274 4.5073 9.499882e-04 0.9749
275 4.5073 9.369585e-04 0.9863
276 4.5073 9.290940e-04 0.9916
277 4.5073 9.204583e-04 0.9907
278 4.5073 9.048393e-04 0.9830
279 4.5073 8.898536e-04 0.9834
280 4.5073 8.755330e-04 0.9839
281 4.5073 8.611554e-04 0.9836
282 4.5073 8.530492e-04 0.9906
283 4.5073 8.459542e-04 0.9917
284 4.5073 8.339620e-04 0.9858
285 4.5073 8.123608e-04 0.9741
286 4.5073 7.823079e-04 0.9630
287 4.5073 7.475207e-04 0.9555
288 4.5073 7.289601e-04 0.9752
289 4.5073 7.082735e-04 0.9716
290 4.5073 6.906207e-04 0.9751
291 4.5073 6.748595e-04 0.9772
292 4.5073 6.470612e-04 0.9588
293 4.5073 6.235908e-04 0.9637
294 4.5073 6.062682e-04 0.9722
295 4.5073 5.972097e-04 0.9851
296 4.5073 5.916863e-04 0.9908
297 4.5073 5.861331e-04 0.9906
298 4.5073 5.771284e-04 0.9846
299 4.5073 5.698246e-04 0.9873
300 4.5073 5.629160e-04 0.9879
301 4.5073 5.548604e-04 0.9857
302 4.5073 5.496628e-04 0.9906
303 4.5073 5.443566e-04 0.9903
304 4.5073 5.351942e-04 0.9832
305 4.5073 5.197481e-04 0.9711
306 4.5073 5.013518e-04 0.9646
307 4.5073 4.820704e-04 0.9615
308 4.5073 4.703863e-04 0.9758
309 4.5073 4.551120e-04 0.9675
310 4.5073 4.420310e-04 0.9713
311 4.5073 4.321963e-04 0.9778
312 4.5073 4.173260e-04 0.9656
313 4.5073 4.027740e-04 0.9651
314 4.5073 3.902635e-04 0.9689
315 4.5073 3.834007e-04 0.9824
316 4.5073 3.794524e-04 0.9897
317 4.5073 3.759048e-04 0.9907
318 4.5073 3.706544e-04 0.9860
319 4.5073 3.662881e-04 0.9882
320 4.5073 3.621661e-04 0.9887
321 4.5073 3.575503e-04 0.9873
322 4.5073 3.542326e-04 0.9907
323 4.5073 3.505049e-04 0.9895
324 4.5073 3.438591e-04 0.9810
325 4.5073 3.327386e-04 0.9677
326 4.5073 3.209327e-04 0.9645
327 4.5073 3.097232e-04 0.9651
328 4.5073 3.025474e-04 0.9768
329 4.5073 2.915968e-04 0.9638
330 4.5073 2.822276e-04 0.9679
331 4.5073 2.758958e-04 0.9776
332 4.5073 2.670500e-04 0.9679
333 4.5073 2.577056e-04 0.9650
334 4.5073 2.490600e-04 0.9665
335 4.5073 2.442267e-04 0.9806
336 4.5073 2.416747e-04 0.9896
337 4.5073 2.395729e-04 0.9913
338 4.5073 2.366283e-04 0.9877
339 4.5073 2.329755e-04 0.9846
340 4.5073 2.295243e-04 0.9852
341 4.5073 2.271336e-04 0.9896
342 4.5073 2.249478e-04 0.9904
343 4.5073 2.225149e-04 0.9892
344 4.5073 2.183825e-04 0.9814
345 4.5073 2.115974e-04 0.9689
346 4.5073 2.037608e-04 0.9630
347 4.5073 1.961096e-04 0.9624
348 4.5073 1.915623e-04 0.9768
349 4.5073 1.844891e-04 0.9631
350 4.5073 1.789415e-04 0.9699
351 4.5073 1.747135e-04 0.9764
352 4.5073 1.685326e-04 0.9646
353 4.5073 1.625619e-04 0.9646
354 4.5073 1.573789e-04 0.9681
355 4.5073 1.543450e-04 0.9807
356 4.5073 1.527411e-04 0.9896
357 4.5073 1.514816e-04 0.9918
358 4.5073 1.498667e-04 0.9893
359 4.5073 1.482822e-04 0.9894
360 4.5073 1.467254e-04 0.9895
361 4.5073 1.453226e-04 0.9904
362 4.5073 1.440473e-04 0.9912
363 4.5073 1.425693e-04 0.9897
364 4.5073 1.399659e-04 0.9817
365 4.5073 1.354891e-04 0.9680
366 4.5073 1.304395e-04 0.9627
367 4.5073 1.255801e-04 0.9627
368 4.5073 1.224384e-04 0.9750
369 4.5073 1.178715e-04 0.9627
370 4.5073 1.141439e-04 0.9684
371 4.5073 1.114363e-04 0.9763
372 4.5073 1.074004e-04 0.9638
373 4.5073 1.037559e-04 0.9661
374 4.5073 1.005130e-04 0.9687
375 4.5073 9.864468e-05 0.9814
376 4.5073 9.765982e-05 0.9900
377 4.5073 9.693787e-05 0.9926
378 4.5073 9.603671e-05 0.9907
379 4.5073 9.536281e-05 0.9930
380 4.5073 9.470601e-05 0.9931
381 4.5073 9.386835e-05 0.9912
382 4.5073 9.312684e-05 0.9921
383 4.5073 9.220860e-05 0.9901
384 4.5073 9.051789e-05 0.9817
385 4.5073 8.757986e-05 0.9675
386 4.5073 8.441697e-05 0.9639
387 4.5073 8.117176e-05 0.9616
388 4.5073 7.917326e-05 0.9754
389 4.5073 7.650414e-05 0.9663
390 4.5073 7.415814e-05 0.9693
391 4.5073 7.243978e-05 0.9768
392 4.5073 6.992122e-05 0.9652
393 4.5073 6.755464e-05 0.9662
394 4.5073 6.550298e-05 0.9696
395 4.5073 6.442420e-05 0.9835
396 4.5073 6.386114e-05 0.9913
397 4.5073 6.343917e-05 0.9934
398 4.5073 6.291857e-05 0.9918
399 4.5073 6.255101e-05 0.9942
400 4.5073 6.218764e-05 0.9942
401 4.5073 6.169533e-05 0.9921
402 4.5073 6.126233e-05 0.9930
403 4.5073 6.074052e-05 0.9915
404 4.5073 5.976100e-05 0.9839
405 4.5073 5.783132e-05 0.9677
406 4.5073 5.582332e-05 0.9653
407 4.5073 5.381541e-05 0.9640
408 4.5073 5.256528e-05 0.9768
409 4.5073 5.088652e-05 0.9681
410 4.5073 4.942387e-05 0.9713
411 4.5073 4.836018e-05 0.9785
412 4.5073 4.681841e-05 0.9681
413 4.5073 4.530922e-05 0.9678
414 4.5073 4.403902e-05 0.9720
415 4.5073 4.342640e-05 0.9861
416 4.5073 4.311669e-05 0.9929
417 4.5073 4.288333e-05 0.9946
418 4.5073 4.258149e-05 0.9930
419 4.5073 4.234146e-05 0.9944
420 4.5073 4.210422e-05 0.9944
421 4.5073 4.182142e-05 0.9933
422 4.5073 4.157963e-05 0.9942
423 4.5073 4.129297e-05 0.9931
424 4.5073 4.075008e-05 0.9869
425 4.5073 3.955404e-05 0.9706
426 4.5073 3.826284e-05 0.9674
427 4.5073 3.703658e-05 0.9680
428 4.5073 3.627819e-05 0.9795
429 4.5073 3.518842e-05 0.9700
430 4.5073 3.427321e-05 0.9740
431 4.5073 3.360933e-05 0.9806
432 4.5073 3.266358e-05 0.9719
433 4.5073 3.170647e-05 0.9707
434 4.5073 3.092739e-05 0.9754
435 4.5073 3.057961e-05 0.9888
436 4.5073 3.040358e-05 0.9942
437 4.5073 3.027417e-05 0.9957
438 4.5073 3.010033e-05 0.9943
439 4.5073 2.991853e-05 0.9940
440 4.5073 2.973998e-05 0.9940
441 4.5073 2.958330e-05 0.9947
442 4.5073 2.944665e-05 0.9954
443 4.5073 2.928091e-05 0.9944
444 4.5073 2.897940e-05 0.9897
445 4.5073 2.826589e-05 0.9754
446 4.5073 2.743132e-05 0.9705
447 4.5073 2.667133e-05 0.9723
448 4.5073 2.615545e-05 0.9807
449 4.5073 2.540920e-05 0.9715
450 4.5073 2.485503e-05 0.9782
451 4.5073 2.436528e-05 0.9803
452 4.5073 2.373976e-05 0.9743
453 4.5073 2.310008e-05 0.9731
454 4.5073 2.261866e-05 0.9792
455 4.5073 2.240689e-05 0.9906
456 4.5073 2.229318e-05 0.9949
457 4.5073 2.221321e-05 0.9964
458 4.5073 2.210959e-05 0.9953
459 4.5073 2.200217e-05 0.9951
460 4.5073 2.189792e-05 0.9953
461 4.5073 2.180671e-05 0.9958
462 4.5073 2.171675e-05 0.9959
463 4.5073 2.161412e-05 0.9953
464 4.5073 2.143114e-05 0.9915
465 4.5073 2.097284e-05 0.9786
466 4.5073 2.038027e-05 0.9717
467 4.5073 1.986920e-05 0.9749
468 4.5073 1.948462e-05 0.9806
469 4.5073 1.898508e-05 0.9744
470 4.5073 1.857710e-05 0.9785
471 4.5073 1.821628e-05 0.9806
472 4.5073 1.782268e-05 0.9784
473 4.5073 1.736033e-05 0.9741
474 4.5073 1.698073e-05 0.9781
475 4.5073 1.684377e-05 0.9919
476 4.5073 1.676710e-05 0.9954
477 4.5073 1.670770e-05 0.9965
478 4.5073 1.663904e-05 0.9959
479 4.5073 1.657661e-05 0.9962
480 4.5073 1.651758e-05 0.9964
481 4.5073 1.646211e-05 0.9966
482 4.5073 1.639271e-05 0.9958
483 4.5073 1.633027e-05 0.9962
484 4.5073 1.622154e-05 0.9933
485 4.5073 1.587925e-05 0.9789
486 4.5073 1.541874e-05 0.9710
487 4.5073 1.509442e-05 0.9790
488 4.5073 1.477210e-05 0.9786
489 4.5073 1.440651e-05 0.9753
490 4.5073 1.411757e-05 0.9799
491 4.5073 1.379559e-05 0.9772
492 4.5073 1.354723e-05 0.9820
493 4.5073 1.314833e-05 0.9706
----------------------------------------------------------------------
Total Iterations: 494
Avg Convergence Rate: 0.9724
Final Residual: 1.314833e-05
Total Reduction in Residual: 9.711549e-07
Maximum Memory Usage: 4.507 GB
----------------------------------------------------------------------Total Time: 16.6462 setup: 0.555882 s solve: 16.0903 s solve(per iteration): 0.0325714 s
0(D) 1507876 113305856 1 4.98e-05 1.3
1(D) 281692 31103364 1 0.000392 0.706
2(D) 39859 4883517 1 0.00307 0.111
3(D) 4793 328295 1 0.0143 0.00753
4(D) 762 35364 1 0.0609 0.000822
5(D) 198 7160 1 0.183 0.000168
6(D) 60 1622 1 0.451 3.88e-05
7(D) 18 254 1 0.784 6.45e-06
8(D) 6 36 1 1 9.98e-07
----------------------------------------------------------------------
Grid Complexity: 1.21712
Operator Complexity: 1.3209
Total Memory Usage: 2.12977 GB
----------------------------------------------------------------------
iter Mem Usage (GB) residual rate
----------------------------------------------------------------------
Ini 4.50732 1.353886e+01
0 4.50732 9.552636e+00 0.7056
1 4.5073 6.826744e+00 0.7146
2 4.5073 5.451789e+00 0.7986
3 4.5073 4.193551e+00 0.7692
4 4.5073 3.318682e+00 0.7914
5 4.5073 2.696656e+00 0.8126
6 4.5073 2.253779e+00 0.8358
7 4.5073 1.897404e+00 0.8419
8 4.5073 1.605763e+00 0.8463
9 4.5073 1.371794e+00 0.8543
10 4.5073 1.280317e+00 0.9333
11 4.5073 1.165342e+00 0.9102
12 4.5073 1.044937e+00 0.8967
13 4.5073 9.311771e-01 0.8911
14 4.5073 8.317691e-01 0.8932
15 4.5073 7.104873e-01 0.8542
16 4.5073 6.342603e-01 0.8927
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452 4.5073 2.373976e-05 0.9743
453 4.5073 2.310008e-05 0.9731
454 4.5073 2.261866e-05 0.9792
455 4.5073 2.240689e-05 0.9906
456 4.5073 2.229318e-05 0.9949
457 4.5073 2.221321e-05 0.9964
458 4.5073 2.210959e-05 0.9953
459 4.5073 2.200217e-05 0.9951
460 4.5073 2.189792e-05 0.9953
461 4.5073 2.180671e-05 0.9958
462 4.5073 2.171675e-05 0.9959
463 4.5073 2.161412e-05 0.9953
464 4.5073 2.143114e-05 0.9915
465 4.5073 2.097284e-05 0.9786
466 4.5073 2.038027e-05 0.9717
467 4.5073 1.986920e-05 0.9749
468 4.5073 1.948462e-05 0.9806
469 4.5073 1.898509e-05 0.9744
470 4.5073 1.857711e-05 0.9785
471 4.5073 1.821628e-05 0.9806
472 4.5073 1.782268e-05 0.9784
473 4.5073 1.736033e-05 0.9741
474 4.5073 1.698073e-05 0.9781
475 4.5073 1.684377e-05 0.9919
476 4.5073 1.676710e-05 0.9954
477 4.5073 1.670770e-05 0.9965
478 4.5073 1.663904e-05 0.9959
479 4.5073 1.657661e-05 0.9962
480 4.5073 1.651758e-05 0.9964
481 4.5073 1.646211e-05 0.9966
482 4.5073 1.639271e-05 0.9958
483 4.5073 1.633027e-05 0.9962
484 4.5073 1.622154e-05 0.9933
485 4.5073 1.587925e-05 0.9789
486 4.5073 1.541874e-05 0.9710
487 4.5073 1.509443e-05 0.9790
488 4.5073 1.477211e-05 0.9786
489 4.5073 1.440650e-05 0.9753
490 4.5073 1.411756e-05 0.9799
491 4.5073 1.379558e-05 0.9772
492 4.5073 1.354723e-05 0.9820
493 4.5073 1.314832e-05 0.9706
----------------------------------------------------------------------
Total Iterations: 494
Avg Convergence Rate: 0.9724
Final Residual: 1.314832e-05
Total Reduction in Residual: 9.711542e-07
Maximum Memory Usage: 4.507 GB
----------------------------------------------------------------------Total Time: 16.4863 setup: 0.550713 s solve: 15.9356 s solve(per iteration): 0.0322583 s
0(D) 1507876 113305856 1 4.98e-05 1.31
1(D) 427806 45533312 1 0.000249 1.04
2(D) 137879 22690729 1 0.00119 0.513
3(D) 38257 6494695 1 0.00444 0.147
4(D) 9256 1114344 1 0.013 0.0253
5(D) 1820 124304 1 0.0375 0.00285
6(D) 351 12935 1 0.105 0.000303
7(D) 47 451 1 0.204 1.15e-05
----------------------------------------------------------------------
Grid Complexity: 1.40813
Operator Complexity: 1.67049
Total Memory Usage: 3.03017 GB
----------------------------------------------------------------------
iter Mem Usage (GB) residual rate
----------------------------------------------------------------------
Ini 4.52881 1.353886e+01
0 4.52881 8.768310e+00 0.6476
1 4.5288 5.875893e+00 0.6701
2 4.5288 4.114999e+00 0.7003
3 4.5288 2.921429e+00 0.7099
4 4.5288 2.161990e+00 0.7400
5 4.5288 1.646122e+00 0.7614
6 4.5288 1.277718e+00 0.7762
7 4.5288 1.001020e+00 0.7834
8 4.5288 7.980492e-01 0.7972
9 4.5288 6.559208e-01 0.8219
10 4.5288 5.960254e-01 0.9087
11 4.5288 5.332775e-01 0.8947
12 4.5288 4.738347e-01 0.8885
13 4.5288 4.126436e-01 0.8709
14 4.5288 3.498271e-01 0.8478
15 4.5288 2.893011e-01 0.8270
16 4.5288 2.489482e-01 0.8605
17 4.5288 2.146483e-01 0.8622
18 4.5288 1.837306e-01 0.8560
19 4.5288 1.614325e-01 0.8786
20 4.5288 1.520154e-01 0.9417
21 4.5288 1.407548e-01 0.9259
22 4.5288 1.286014e-01 0.9137
23 4.5288 1.176749e-01 0.9150
24 4.5288 1.072537e-01 0.9114
25 4.5288 9.944967e-02 0.9272
26 4.5288 9.291163e-02 0.9343
27 4.5288 8.549769e-02 0.9202
28 4.5288 7.896385e-02 0.9236
29 4.5288 7.237665e-02 0.9166
30 4.5288 6.818068e-02 0.9420
31 4.5288 6.386154e-02 0.9367
32 4.5288 5.982216e-02 0.9367
33 4.5288 5.638698e-02 0.9426
34 4.5288 5.283324e-02 0.9370
35 4.5288 4.850473e-02 0.9181
36 4.5288 4.445382e-02 0.9165
37 4.5288 4.021743e-02 0.9047
38 4.5288 3.686018e-02 0.9165
39 4.5288 3.463181e-02 0.9395
40 4.5288 3.264420e-02 0.9426
41 4.5288 3.038673e-02 0.9308
42 4.5288 2.781750e-02 0.9154
43 4.5288 2.567715e-02 0.9231
44 4.5288 2.368404e-02 0.9224
45 4.5288 2.225356e-02 0.9396
46 4.5288 2.094205e-02 0.9411
47 4.5288 1.957047e-02 0.9345
48 4.5288 1.835569e-02 0.9379
49 4.5288 1.715982e-02 0.9349
50 4.5288 1.621576e-02 0.9450
51 4.5288 1.527343e-02 0.9419
52 4.5288 1.438522e-02 0.9418
53 4.5288 1.351747e-02 0.9397
54 4.5288 1.264552e-02 0.9355
55 4.5288 1.153628e-02 0.9123
56 4.5288 1.046056e-02 0.9068
57 4.5288 9.460004e-03 0.9043
58 4.5288 8.685592e-03 0.9181
59 4.5288 8.173298e-03 0.9410
60 4.5288 7.713984e-03 0.9438
61 4.5288 7.156656e-03 0.9278
62 4.5288 6.530942e-03 0.9126
63 4.5288 5.991247e-03 0.9174
64 4.5288 5.501422e-03 0.9182
65 4.5288 5.160612e-03 0.9381
66 4.5288 4.843384e-03 0.9385
67 4.5288 4.559390e-03 0.9414
68 4.5288 4.290216e-03 0.9410
69 4.5288 4.035412e-03 0.9406
70 4.5288 3.819968e-03 0.9466
71 4.5288 3.611904e-03 0.9455
72 4.5288 3.419467e-03 0.9467
73 4.5288 3.208093e-03 0.9382
74 4.5288 2.993778e-03 0.9332
75 4.5288 2.726845e-03 0.9108
76 4.5288 2.457223e-03 0.9011
77 4.5288 2.225714e-03 0.9058
78 4.5288 2.033611e-03 0.9137
79 4.5288 1.914184e-03 0.9413
80 4.5288 1.799697e-03 0.9402
81 4.5288 1.670334e-03 0.9281
82 4.5288 1.522858e-03 0.9117
83 4.5288 1.388566e-03 0.9118
84 4.5288 1.275700e-03 0.9187
85 4.5288 1.194108e-03 0.9360
86 4.5288 1.119639e-03 0.9376
87 4.5288 1.061499e-03 0.9481
88 4.5288 1.000335e-03 0.9424
89 4.5288 9.452505e-04 0.9449
90 4.5288 8.985699e-04 0.9506
91 4.5288 8.504361e-04 0.9464
92 4.5288 8.098885e-04 0.9523
93 4.5288 7.613204e-04 0.9400
94 4.5288 7.080914e-04 0.9301
95 4.5288 6.480337e-04 0.9152
96 4.5288 5.812936e-04 0.8970
97 4.5288 5.259771e-04 0.9048
98 4.5288 4.851439e-04 0.9224
99 4.5288 4.556539e-04 0.9392
100 4.5288 4.293960e-04 0.9424
101 4.5288 4.009284e-04 0.9337
102 4.5288 3.650740e-04 0.9106
103 4.5288 3.336130e-04 0.9138
104 4.5288 3.087990e-04 0.9256
105 4.5288 2.887910e-04 0.9352
106 4.5288 2.724659e-04 0.9435
107 4.5288 2.612934e-04 0.9590
108 4.5288 2.473665e-04 0.9467
109 4.5288 2.350677e-04 0.9503
110 4.5288 2.251407e-04 0.9578
111 4.5288 2.138501e-04 0.9499
112 4.5288 2.055829e-04 0.9613
113 4.5288 1.951170e-04 0.9491
114 4.5288 1.826712e-04 0.9362
115 4.5288 1.693517e-04 0.9271
116 4.5288 1.546645e-04 0.9133
117 4.5288 1.414307e-04 0.9144
118 4.5288 1.325003e-04 0.9369
119 4.5288 1.265273e-04 0.9549
120 4.5288 1.208508e-04 0.9551
121 4.5288 1.144998e-04 0.9474
122 4.5288 1.060693e-04 0.9264
123 4.5288 9.925553e-05 0.9358
124 4.5288 9.370971e-05 0.9441
125 4.5288 8.940171e-05 0.9540
126 4.5288 8.594241e-05 0.9613
127 4.5288 8.353282e-05 0.9720
128 4.5288 8.024825e-05 0.9607
129 4.5288 7.731457e-05 0.9634
130 4.5288 7.480387e-05 0.9675
131 4.5288 7.216509e-05 0.9647
132 4.5288 7.037042e-05 0.9751
133 4.5288 6.794323e-05 0.9655
134 4.5288 6.514613e-05 0.9588
135 4.5288 6.205491e-05 0.9525
136 4.5288 5.863003e-05 0.9448
137 4.5288 5.502975e-05 0.9386
138 4.5288 5.254025e-05 0.9548
139 4.5288 5.086614e-05 0.9681
140 4.5288 4.932885e-05 0.9698
141 4.5288 4.746658e-05 0.9622
142 4.5288 4.485311e-05 0.9449
143 4.5288 4.297201e-05 0.9581
144 4.5288 4.136565e-05 0.9626
145 4.5288 4.015194e-05 0.9707
146 4.5288 3.900880e-05 0.9715
147 4.5288 3.820714e-05 0.9794
148 4.5288 3.706657e-05 0.9701
149 4.5288 3.596322e-05 0.9702
150 4.5288 3.497656e-05 0.9726
151 4.5288 3.398798e-05 0.9717
152 4.5288 3.333172e-05 0.9807
153 4.5288 3.242272e-05 0.9727
154 4.5288 3.145855e-05 0.9703
155 4.5288 3.036427e-05 0.9652
156 4.5288 2.914779e-05 0.9599
157 4.5288 2.764016e-05 0.9483
158 4.5288 2.659135e-05 0.9621
159 4.5288 2.590356e-05 0.9741
160 4.5288 2.516156e-05 0.9714
161 4.5288 2.434308e-05 0.9675
162 4.5288 2.309417e-05 0.9487
163 4.5288 2.224793e-05 0.9634
164 4.5288 2.147848e-05 0.9654
165 4.5288 2.090239e-05 0.9732
166 4.5288 2.035908e-05 0.9740
167 4.5288 1.995579e-05 0.9802
168 4.5288 1.940278e-05 0.9723
169 4.5288 1.886533e-05 0.9723
170 4.5288 1.835445e-05 0.9729
171 4.5288 1.786542e-05 0.9734
172 4.5288 1.753188e-05 0.9813
173 4.5288 1.706333e-05 0.9733
174 4.5288 1.659876e-05 0.9728
175 4.5288 1.604605e-05 0.9667
176 4.5288 1.542272e-05 0.9612
177 4.5288 1.468205e-05 0.9520
178 4.5288 1.418284e-05 0.9660
179 4.5288 1.381454e-05 0.9740
180 4.5288 1.343885e-05 0.9728
----------------------------------------------------------------------
Total Iterations: 181
Avg Convergence Rate: 0.9265
Final Residual: 1.343885e-05
Total Reduction in Residual: 9.926137e-07
Maximum Memory Usage: 4.529 GB
----------------------------------------------------------------------Total Time: 7.59087 setup: 0.583601 s solve: 7.00727 s solve(per iteration): 0.0387142 s
0(D) 1507876 113305856 1 4.98e-05 1.3
1(D) 281692 31103364 1 0.000392 0.706
2(D) 39859 4883517 1 0.00307 0.111
3(D) 4793 328295 1 0.0143 0.00753
4(D) 762 35364 1 0.0609 0.000822
5(D) 198 7160 1 0.183 0.000168
6(D) 60 1622 1 0.451 3.88e-05
7(D) 18 254 1 0.784 6.45e-06
8(D) 6 36 1 1 9.98e-07
----------------------------------------------------------------------
Grid Complexity: 1.21712
Operator Complexity: 1.3209
Total Memory Usage: 2.12977 GB
----------------------------------------------------------------------
iter Mem Usage (GB) residual rate
----------------------------------------------------------------------
Ini 4.52295 1.353886e+01
0 4.52295 1.353814e+01 0.9999
1 4.5229 1.353091e+01 0.9995
2 4.5229 1.353089e+01 1.0000
3 4.5229 1.353076e+01 1.0000
4 4.5229 1.353076e+01 1.0000
5 4.5229 1.351923e+01 0.9991
6 4.5229 1.351887e+01 1.0000
7 4.5229 1.350736e+01 0.9991
8 4.5229 1.350569e+01 0.9999
9 4.5229 1.350562e+01 1.0000
10 4.5229 1.350562e+01 1.0000
11 4.5229 1.350562e+01 1.0000
12 4.5229 1.350562e+01 1.0000
13 4.5229 1.350562e+01 1.0000
14 4.5229 1.350562e+01 1.0000
15 4.5229 1.350562e+01 1.0000
16 4.5229 1.350562e+01 1.0000
17 4.5229 1.350562e+01 1.0000
18 4.5229 1.350562e+01 1.0000
19 4.5229 1.350555e+01 1.0000
20 4.5229 1.350555e+01 1.0000
21 4.5229 1.350555e+01 1.0000
22 4.5229 1.350555e+01 1.0000
23 4.5229 1.350555e+01 1.0000
24 4.5229 1.350555e+01 1.0000
25 4.5229 1.350555e+01 1.0000
26 4.5229 1.350555e+01 1.0000
27 4.5229 1.350555e+01 1.0000
28 4.5229 1.350555e+01 1.0000
29 4.5229 1.350552e+01 1.0000
30 4.5229 1.350552e+01 1.0000
31 4.5229 1.350552e+01 1.0000
32 4.5229 1.350552e+01 1.0000
33 4.5229 1.350552e+01 1.0000
34 4.5229 1.350552e+01 1.0000
35 4.5229 1.350552e+01 1.0000
36 4.5229 1.350552e+01 1.0000
37 4.5229 1.350552e+01 1.0000
38 4.5229 1.350552e+01 1.0000
39 4.5229 1.350551e+01 1.0000
40 4.5229 1.350551e+01 1.0000
41 4.5229 1.350551e+01 1.0000
42 4.5229 1.350551e+01 1.0000
43 4.5229 1.350551e+01 1.0000
44 4.5229 1.350551e+01 1.0000
45 4.5229 1.350551e+01 1.0000
46 4.5229 1.350551e+01 1.0000
47 4.5229 1.350551e+01 1.0000
48 4.5229 1.350551e+01 1.0000
49 4.5229 1.350551e+01 1.0000
50 4.5229 1.350551e+01 1.0000
51 4.5229 1.350551e+01 1.0000
52 4.5229 1.350551e+01 1.0000
53 4.5229 1.350551e+01 1.0000
54 4.5229 1.350551e+01 1.0000
55 4.5229 1.350551e+01 1.0000
56 4.5229 1.350551e+01 1.0000
57 4.5229 1.350551e+01 1.0000
58 4.5229 1.350551e+01 1.0000
59 4.5229 1.350551e+01 1.0000
60 4.5229 1.350551e+01 1.0000
61 4.5229 1.350551e+01 1.0000
62 4.5229 1.350551e+01 1.0000
63 4.5229 1.350551e+01 1.0000
64 4.5229 1.350551e+01 1.0000
65 4.5229 1.350551e+01 1.0000
66 4.5229 1.350551e+01 1.0000
67 4.5229 1.350551e+01 1.0000
68 4.5229 1.350551e+01 1.0000
69 4.5229 1.350551e+01 1.0000
70 4.5229 1.350551e+01 1.0000
71 4.5229 1.350551e+01 1.0000
72 4.5229 1.350551e+01 1.0000
73 4.5229 1.350551e+01 1.0000
74 4.5229 1.350551e+01 1.0000
75 4.5229 1.350551e+01 1.0000
76 4.5229 1.350551e+01 1.0000
77 4.5229 1.350551e+01 1.0000
78 4.5229 1.350551e+01 1.0000
79 4.5229 1.350551e+01 1.0000
80 4.5229 1.350551e+01 1.0000
81 4.5229 1.350551e+01 1.0000
82 4.5229 1.350551e+01 1.0000
83 4.5229 1.350551e+01 1.0000
84 4.5229 1.350551e+01 1.0000
85 4.5229 1.350551e+01 1.0000
86 4.5229 1.350551e+01 1.0000
87 4.5229 1.350551e+01 1.0000
88 4.5229 1.350551e+01 1.0000
89 4.5229 1.350551e+01 1.0000
90 4.5229 1.350551e+01 1.0000
91 4.5229 1.350551e+01 1.0000
92 4.5229 1.350551e+01 1.0000
93 4.5229 1.350551e+01 1.0000
94 4.5229 1.350551e+01 1.0000
95 4.5229 1.350551e+01 1.0000
96 4.5229 1.350551e+01 1.0000
97 4.5229 1.350551e+01 1.0000
98 4.5229 1.350551e+01 1.0000
99 4.5229 1.350551e+01 1.0000
----------------------------------------------------------------------
Total Iterations: 100
Avg Convergence Rate: 1.0000
Final Residual: 1.350551e+01
Total Reduction in Residual: 9.975368e-01
Maximum Memory Usage: 4.523 GB
----------------------------------------------------------------------Total Time: 40.3522 setup: 1.15667 s solve: 39.1955 s
When I tried to used PCG_ILU.json, it return nan.
Ini 0 1.353886e+01
0 0 nan nan
1 0.0000 -nan(ind) -nan(ind)
2 0.0000 nan nan
3 0.0000 -nan(ind) -nan(ind)
4 0.0000 nan nan
5 0.0000 -nan(ind) -nan(ind)
6 0.0000 nan nan
7 0.0000 -nan(ind) -nan(ind)
8 0.0000 nan nan
9 0.0000 -nan(ind) -nan(ind)
10 0.0000 nan nan
11 0.0000 -nan(ind) -nan(ind)
12 0.0000 nan nan
13 0.0000 -nan(ind) -nan(ind)
14 0.0000 nan nan
15 0.0000 -nan(ind) -nan(ind)
16 0.0000 nan nan
17 0.0000 -nan(ind) -nan(ind)
18 0.0000 nan nan
19 0.0000 -nan(ind) -nan(ind)
----------------------------------------------------------------------
Total Iterations: 20
Avg Convergence Rate: -nan(ind)
Final Residual: -nan(ind)
Total Reduction in Residual: -nan(ind)
Maximum Memory Usage: 0.000 GB
----------------------------------------------------------------------Total Time: 92.0629 setup: 0.282855 s solve: 91.78 s
Basically I am still struggling to get the right configuration for the matrix. The best results I got is from CG without any preconditioner. I hope this should clarify my issues.
Environment information:
OS: Windows 11 CUDA runtime: CUDA 12.4. AMGX version or commit hash: 2.5.0 NVIDIA driver: 551.78 NVIDIA GPU: NVIDIA RTX 3060 Ti
AMGX solver configuration: This is one of AMG configuration that I tried to use but failed to converged. { "config_version": 2, "solver": { "matrix_coloring_scheme": "MIN_MAX", "max_uncolored_percentage": 0.15, "algorithm": "AGGREGATION", "obtain_timings": 1, "solver": "AMG", "smoother": "MULTICOLOR_DILU", "print_solve_stats": 1, "presweeps": 1, "selector": "SIZE_2", "coarsest_sweeps": 2, "max_iters": 1000, "monitor_residual": 1, "scope": "main", "max_levels": 1000, "postsweeps": 1, "tolerance": 0.1, "print_grid_stats": 1, "norm": "L1", "cycle": "V" } }
Matrix is attached
Reproduction steps
I ran this with the command line as in the quick start document :"amgx_capi -m identity_system.mtx -c AGGREGATION_DILU.json
It got diverged. Samte thing with AMG_CLASSICAL_CG.json. Using AMG_AGGRREGATION_CG it manage to converge but very slow
If I use PCG_AGGREGATION_JACOBI i got the best convergence speed.
Can you please tell me which option should I choose for the type of matrix that I attached? This is basically a 10 nodes tet mesh generated from a 3D solid dishes.
Thanks,
Kien
coarse.zip
coarse.zip