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quadrilateralN06.dat
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******************************************
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******************************************
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******************************************
Nodal Dr differentiation matrix
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******************************************
Nodal Ds differentiation matrix
49 49
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******************************************
Nodal Face nodes
4 7
0 1 2 3 4 5 6
6 13 20 27 34 41 48
42 43 44 45 46 47 48
0 7 14 21 28 35 42
******************************************
Nodal Lift Matrix
49 28
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0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323441 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976332 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323439 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976333 0.000000000000000
0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323439 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323438 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323438 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323439 0.000000000000000
0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323440 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000025 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323439 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000004 0.000000000000000
3.500000000000008 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000007 24.500000000000036 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000043
0.000000000000000 3.500000000000004 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323443 0.000000000000000 24.500000000000028 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323416
0.000000000000000 0.000000000000000 3.500000000000008 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976334 0.000000000000000 0.000000000000000 24.500000000000036 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976334
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0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000005 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976333 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000032 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.162370412976333
0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000004 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323439 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000021 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.451626611323440
0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000006 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000036 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 24.500000000000036 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.500000000000007
******************************************
Nodal 1D GLL Nodes
7 1
-1.000000000000000
-0.830223896278567
-0.468848793470714
0.000000000000000
0.468848793470714
0.830223896278567
1.000000000000000
******************************************
Nodal 1D GLL Weights
7 1
0.047619047619047
0.276826047361566
0.431745381209863
0.487619047619047
0.431745381209862
0.276826047361566
0.047619047619048
******************************************
Nodal 1D differentiation matrix
7 7
-10.500000000000014 14.201576602919815 -5.668985225545487 3.199999999999988 -2.049964813076734 1.317373435702430 -0.499999999999999
-2.442926014244299 0.000000000000015 3.455828214294279 -1.598606688098367 0.961339797288713 -0.602247179635786 0.226611870395445
0.625256665515344 -2.215804283169971 -0.000000000000004 2.266698087086001 -1.066441904006376 0.616390835517581 -0.226099400942575
-0.312500000000001 0.907544471268821 -2.006969240588752 -0.000000000000001 2.006969240588754 -0.907544471268821 0.312500000000000
0.226099400942576 -0.616390835517580 1.066441904006374 -2.266698087085999 -0.000000000000000 2.215804283169971 -0.625256665515342
-0.226611870395446 0.602247179635785 -0.961339797288712 1.598606688098369 -3.455828214294288 0.000000000000006 2.442926014244286
0.500000000000002 -1.317373435702432 2.049964813076737 -3.199999999999997 5.668985225545510 -14.201576602919815 10.499999999999996
******************************************
Plotting r-coordinates
100 1
-1.000000000000000
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1.000000000000000
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1.000000000000000
1.000000000000000
******************************************
Plotting s-coordinates
100 1
-1.000000000000000
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1.000000000000000
******************************************
Plotting Interpolation Matrix
100 49
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******************************************
Plotting triangulation
162 3
36 27 26
22 12 21
22 13 12
4 13 14
46 47 37
25 34 35
34 44 35
12 11 21
22 32 23
15 14 24
1 0 10
25 24 34
14 13 23
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2 1 11
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6 5 15
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44 34 43
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31 21 30
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31 32 22
40 41 31
10 11 1
15 5 14
20 11 10
3 12 13
2 11 12
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20 21 11
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34 24 33
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33 23 32
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13 22 23
21 31 22
3 2 12
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17 7 16
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18 8 17
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27 18 17
19 9 18
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37 28 27
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37 47 38
47 56 57
58 59 49
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44 45 35
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37 36 46
37 27 36
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55 46 45
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55 64 65
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50 51 41
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70 80 71
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81 72 71
73 63 72
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82 91 92
90 81 80
91 81 90
******************************************
C0 overlapping patch forward matrix
9 9
1.255804304750081 -6.157822104773626 1.306470853991039 -0.208546852947743 0.098628109164110 -0.208546852947832 1.306470853991718 -6.157822104776873 1.255804304750749
1.274261725651331 -6.188768008486352 1.276905530669965 -0.160282396204286 0.000000000000023 0.160282396204184 -1.276905530669283 6.188768008483089 -1.274261725650663
1.408265695150964 -0.326898049192792 -1.640007123628696 0.830491559145008 -0.556038092143733 0.830491559145062 -1.640007123628844 -0.326898049192818 1.408265695151100
-1.621757012545567 0.158426242336668 1.763233721284075 -0.609545115326430 0.000000000000021 0.609545115326362 -1.763233721283927 -0.158426242336651 1.621757012545433
1.235983036379476 0.789759956703489 -0.274439397044848 -1.117092822506834 1.337360092123186 -1.117092822506834 -0.274439397044853 0.789759956703499 1.235983036379486
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1.344952146395538 1.633216406654160 1.433259195132220 -0.125999738601716 -1.640500139780837 -0.125999738601713 1.433259195132217 1.633216406654162 1.344952146395534
-0.434072512969014 -0.662625583346840 -0.863880337511004 -1.192295828799855 -1.356543578661965 -1.192295828799851 -0.863880337511002 -0.662625583346834 -0.434072512969012
-0.959151782721558 -1.351767854175034 -1.557028854198146 -1.329147966478086 -0.000000000000003 1.329147966478085 1.557028854198147 1.351767854175038 0.959151782721561
******************************************
C0 overlapping patch diagonal scaling
9 1
186.169056919401527
184.823944135980383
51.735672644725568
47.866728064349715
26.666939891567502
18.117513889893019
10.109186109634694
1.124586146397037
4.497255621503401
******************************************
C0 overlapping patch backward matrix
9 9
0.138257762094824 0.139732482232654 0.419900910055051 -0.462953697730452 0.418132317616870 -0.413124135055658 0.338530448998421 -0.159236000048759 -0.257482819316238
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0.143835895315602 0.140022395545089 -0.488998976599109 0.503340244510613 -0.092842682912443 -0.155297588710288 0.360757726703932 -0.316907533548073 -0.417981998634362
-0.022959963643548 -0.017576182842951 0.247626682009494 -0.174003357402455 -0.377911829790312 0.394549759092025 -0.031714695721209 -0.437384107448567 -0.356807725182085
0.010858460670261 0.000000000000003 -0.165793217657978 0.000000000000006 0.452428114584652 -0.000000000000001 -0.412921196036855 -0.497637069623390 0.000000000000000
-0.022959963643558 0.017576182842940 0.247626682009510 0.174003357402437 -0.377911829790311 -0.394549759092024 -0.031714695721209 -0.437384107448568 0.356807725182086
0.143835895315677 -0.140022395545015 -0.488998976599154 -0.503340244510571 -0.092842682912447 0.155297588710288 0.360757726703931 -0.316907533548074 0.417981998634364
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0.138257762094898 -0.139732482232582 0.419900910055092 0.462953697730415 0.418132317616873 0.413124135055658 0.338530448998422 -0.159236000048760 0.257482819316238
******************************************
IPDG overlapping patch forward matrix
9 9
10.469894923046519 -10.522823132757690 -0.108981713651716 0.038395815346992 -0.000000000000023 -0.038395815346933 0.108981713651611 10.522823132750968 -10.469894923039876
10.530242769858209 -10.445783752345308 -0.167469272406562 0.093504556678285 -0.072725353044950 0.093504556678310 -0.167469272406632 -10.445783752351913 10.530242769864920
8.965639973338563 9.271288390843825 -2.142112807140863 0.343427571672683 -0.158157320350845 0.343427571672412 -2.142112807138706 9.271288390834286 8.965639973329122
-9.133934272314262 -9.224817402284831 2.121000839393458 -0.275860422515325 -0.000000000000092 0.275860422515711 -2.121000839395788 9.224817402294732 9.133934272323820
-1.595816965633057 -1.293611554514203 -1.673326167617312 1.454941951991114 -1.152167821757348 1.454941951991161 -1.673326167617392 -1.293611554514299 -1.595816965633162
-1.857663369341381 -1.662532247257798 -2.347339713825808 1.343938385493565 -0.000000000000020 -1.343938385493511 2.347339713825733 1.662532247257777 1.857663369341344
-0.972512002859943 -0.940259669592828 -1.678827451980187 -0.650689840386836 1.782601289305165 -0.650689840386818 -1.678827451980194 -0.940259669592838 -0.972512002859954
-0.287320426497027 -0.275333784305854 -0.607679850103962 -1.163019251338859 -1.460552961600460 -1.163019251338863 -0.607679850103974 -0.275333784305860 -0.287320426497032
0.640489069056391 0.614180630096097 1.256118804304224 1.588161147813537 0.000000000000014 -1.588161147813531 -1.256118804304240 -0.614180630096109 -0.640489069056405
******************************************
IPDG overlapping patch diagonal scaling
9 1
1778.411265731417643
1759.350661422819940
170.996154758149260
169.715276820157101
38.847695184774636
32.291351928148345
16.910193500775243
1.895295133490760
7.582105520287209
******************************************
IPDG overlapping patch backward matrix
9 9
0.498722673259227 0.501964173140078 0.484723259103744 -0.490900419588989 -0.360445721600067 -0.357096386257633 -0.266455437213768 -0.118350995838983 0.204857473328721
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-0.005191231809702 -0.007983061424809 -0.115812357437161 0.113992521838351 -0.377952654313229 -0.451226278646710 -0.459976536442067 -0.250311181449648 0.401763803447206
0.001828945162541 0.004457251224273 0.018567255912829 -0.014826031491297 0.328626410838790 0.258343652963784 -0.178280417517683 -0.479062655774264 0.507966014875536
-0.000000000000001 -0.003466731252581 -0.008550703798005 -0.000000000000005 -0.260239094370672 -0.000000000000004 0.488409196516653 -0.601620635150965 0.000000000000003
-0.001828945162538 0.004457251224274 0.018567255912814 0.014826031491317 0.328626410838801 -0.258343652963774 -0.178280417517678 -0.479062655774269 -0.507966014875535
0.005191231809697 -0.007983061424812 -0.115812357437041 -0.113992521838472 -0.377952654313243 0.451226278646692 -0.459976536442064 -0.250311181449651 -0.401763803447207
0.501243854076096 -0.497938112030819 0.501248002179402 0.495784904774747 -0.292186861199408 0.319586566291078 -0.257618724107316 -0.113413543053652 -0.196442840522312
-0.498722673258909 0.501964173140396 0.484723259103215 0.490900419589484 -0.360445721600087 0.357096386257621 -0.266455437213767 -0.118350995838985 -0.204857473328721
******************************************
Quadrature r-coordinates
10 1
-0.973906528517172
-0.865063366688985
-0.679409568299024
-0.433395394129247
-0.148874338981631
0.148874338981632
0.433395394129247
0.679409568299024
0.865063366688984
0.973906528517171
******************************************
Quadrature weights
10 1
0.066671344308688
0.149451349150581
0.219086362515982
0.269266719309996
0.295524224714753
0.295524224714753
0.269266719309996
0.219086362515981
0.149451349150581
0.066671344308688
******************************************
Quadrature Interpolation Matrix
10 7
0.748934325178118 0.327932488672576 -0.116508622598458 0.064210832179307 -0.040785558123524 0.026116849714104 -0.009900315022123
0.103874271501628 0.970017210323336 -0.106519940052390 0.051848944338815 -0.031639828953985 0.019934607328730 -0.007515264486132
-0.129542848876091 0.663948692546342 0.593895490212814 -0.195606066362289 0.108905015412660 -0.066329329753757 0.024729046820320
0.020551585580699 -0.070751507842555 0.988988062133124 0.085978748870586 -0.038861972393549 0.022218887520232 -0.008123803868537
0.046514863506864 -0.140096917746228 0.372557770104114 0.850972582010260 -0.192981228955238 0.097492743268698 -0.034459812188470
-0.034459812188470 0.097492743268698 -0.192981228955239 0.850972582010258 0.372557770104116 -0.140096917746229 0.046514863506865
-0.008123803868537 0.022218887520232 -0.038861972393548 0.085978748870585 0.988988062133125 -0.070751507842555 0.020551585580699
0.024729046820320 -0.066329329753756 0.108905015412660 -0.195606066362288 0.593895490212811 0.663948692546343 -0.129542848876090
-0.007515264486132 0.019934607328730 -0.031639828953985 0.051848944338815 -0.106519940052392 0.970017210323336 0.103874271501628
-0.009900315022124 0.026116849714104 -0.040785558123524 0.064210832179308 -0.116508622598460 0.327932488672583 0.748934325178113
******************************************
Quadrature Weak D Differentiation Matrix
7 10
-0.585236329057886 -0.531836677821391 0.048791690869344 0.142891348568573 -0.077456965504540 -0.036553721572684 0.061870035750912 -0.010811370597191 -0.029552311908712 0.017894301273575
0.733811066345723 0.268963028438239 -0.760852356711754 -0.477536992497197 0.245411528332760 0.099068236792027 -0.169777498993868 0.029971857224707 0.078228982337259 -0.047287851267894
-0.222027999779647 0.387225441426899 0.800113047016597 -0.165067458159243 -0.835118087709006 -0.162024012130391 0.300266389022592 -0.054184342324578 -0.123407898630079 0.074224921266854
0.118284633764347 -0.199083020245279 -0.123076236871248 0.692072027867504 0.567654027969736 -0.567654027969739 -0.692072027867503 0.123076236871249 0.199083020245278 -0.118284633764346
-0.074224921266855 0.123407898630079 0.054184342324578 -0.300266389022592 0.162024012130393 0.835118087709008 0.165067458159241 -0.800113047016597 -0.387225441426899 0.222027999779646
0.047287851267894 -0.078228982337259 -0.029971857224707 0.169777498993868 -0.099068236792028 -0.245411528332761 0.477536992497199 0.760852356711752 -0.268963028438237 -0.733811066345721
-0.017894301273575 0.029552311908712 0.010811370597190 -0.061870035750912 0.036553721572684 0.077456965504539 -0.142891348568573 -0.048791690869343 0.531836677821388 0.585236329057886
******************************************
Quadrature Projection Matrix
7 10
0.049932458258545 0.015524150017952 -0.028381071550220 0.005533858025933 0.013746268975579 -0.010183709280814 -0.002187470015999 0.005417796916351 -0.001123166416676 -0.000660067311604
0.021863699862294 0.144970380782105 0.145462103947220 -0.019051026403000 -0.041402033001881 0.028811467369796 0.005982806949291 -0.014531851583874 0.002979253960066 0.001741245479547
-0.007767786492193 -0.015919548752269 0.130114402665371 0.266301570927337 0.110099846171475 -0.057030628071497 -0.010464235812326 0.023859603686506 -0.004728615124067 -0.002719227988476
0.004281022500574 0.007748894683469 -0.042854621565374 0.023151215638761 0.251483012552093 0.251483012552093 0.023151215638760 -0.042854621565373 0.007748894683469 0.004281022500574
-0.002719227988475 -0.004728615124067 0.023859603686507 -0.010464235812326 -0.057030628071497 0.110099846171476 0.266301570927337 0.130114402665370 -0.015919548752269 -0.007767786492193
0.001741245479547 0.002979253960066 -0.014531851583874 0.005982806949291 0.028811467369796 -0.041402033001881 -0.019051026403000 0.145462103947220 0.144970380782105 0.021863699862295
-0.000660067311604 -0.001123166416676 0.005417796916351 -0.002187470015999 -0.010183709280813 0.013746268975579 0.005533858025933 -0.028381071550220 0.015524150017952 0.049932458258545
******************************************
1D degree raise matrix
8 7
1.000000000000000 0.000000000000000 0.000000000000000 -0.000000000000000 0.000000000000000 -0.000000000000000 0.000000000000000
0.128433602859009 0.956674900332022 -0.123113292808042 0.060468936234215 -0.036999619950214 0.023336307595283 -0.008800834262272
-0.085837229986902 0.354271682500220 0.859010181185142 -0.189540995414517 0.099505629187958 -0.059428065885543 0.022018798413642
0.059307992203997 -0.182095658851632 0.544037159718680 0.716981191468132 -0.208220936329820 0.108768806449492 -0.038778554658848
-0.038778554658848 0.108768806449492 -0.208220936329820 0.716981191468131 0.544037159718681 -0.182095658851633 0.059307992203996
0.022018798413642 -0.059428065885543 0.099505629187957 -0.189540995414516 0.859010181185142 0.354271682500219 -0.085837229986902
-0.008800834262272 0.023336307595283 -0.036999619950215 0.060468936234215 -0.123113292808043 0.956674900332022 0.128433602859010
0.000000000000000 0.000000000000000 0.000000000000000 -0.000000000000000 0.000000000000000 -0.000000000000000 1.000000000000000
******************************************
1D degree lower matrix
6 7
1.000000000000000 0.000000000000000 0.000000000000000 -0.000000000000000 0.000000000000000 -0.000000000000000 0.000000000000000
-0.105826901146473 0.919891495175432 0.252749645817596 -0.103996524096389 0.060674159852915 -0.037578384208406 0.014086508605325
0.063642410961030 -0.201249454444259 0.745971049663792 0.510345730445594 -0.181642685858651 0.098327031144441 -0.035394081911946
-0.035394081911946 0.098327031144441 -0.181642685858651 0.510345730445594 0.745971049663792 -0.201249454444259 0.063642410961030
0.014086508605325 -0.037578384208406 0.060674159852915 -0.103996524096388 0.252749645817595 0.919891495175432 -0.105826901146472
0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -0.000000000000000 1.000000000000000
******************************************
SEMFEM reference mesh
36 4
0 1 8 7
1 2 9 8
2 3 10 9
3 4 11 10
4 5 12 11
5 6 13 12
7 8 15 14
8 9 16 15
9 10 17 16
10 11 18 17
11 12 19 18
12 13 20 19
14 15 22 21
15 16 23 22
16 17 24 23
17 18 25 24
18 19 26 25
19 20 27 26
21 22 29 28
22 23 30 29
23 24 31 30
24 25 32 31
25 26 33 32
26 27 34 33
28 29 36 35
29 30 37 36
30 31 38 37
31 32 39 38
32 33 40 39
33 34 41 40
35 36 43 42
36 37 44 43
37 38 45 44
38 39 46 45
39 40 47 46
40 41 48 47