https://github.com/team-pancho/HDG3D
Tip revision: af0d6cb24c63ad6fa07331f26a5733116db800b7 authored by shukaidu on 29 April 2020, 21:46:21 UTC
Merge pull request #2 from team-pancho/hdg3d_skdu
Merge pull request #2 from team-pancho/hdg3d_skdu
Tip revision: af0d6cb
TablesQuadForm3d.m
%Last modified: May 18, 2012
%First four columns=barycentric coordinates
%5th columns = weights, sum(weights)=1
%tetraN: formula integrates exactly polynomials of three variables of
%degree less than or equal to N
%integration degree=1, N_nodes=1:
tetra1=[1/4 1/4 1/4 1/4 1];
%integration degree=3 N_nodes=4:
tetra3=[0.138196601125011 0.585410196624968 0.138196601125011 0.138196601125011 0.250000000000000
0.138196601125011 0.138196601125011 0.585410196624968 0.138196601125011 0.250000000000000
0.138196601125011 0.138196601125011 0.138196601125011 0.585410196624968 0.250000000000000
0.585410196624969 0.138196601125011 0.138196601125011 0.138196601125011 0.250000000000000];
%integration degree=5 N_nodes=14:
tetra5=[0.092735250310891 0.721794249067326 0.092735250310891 0.092735250310891 0.073493043116362
0.092735250310891 0.092735250310891 0.721794249067326 0.092735250310891 0.073493043116362
0.092735250310891 0.092735250310891 0.092735250310891 0.721794249067326 0.073493043116362
0.721794249067326 0.092735250310891 0.092735250310891 0.092735250310891 0.073493043116362
0.310885919263301 0.067342242210098 0.310885919263301 0.310885919263301 0.112687925718016
0.310885919263301 0.310885919263301 0.067342242210098 0.310885919263301 0.112687925718016
0.310885919263301 0.310885919263301 0.310885919263301 0.067342242210098 0.112687925718016
0.067342242210098 0.310885919263301 0.310885919263301 0.310885919263301 0.112687925718016
0.454496295874350 0.045503704125650 0.045503704125650 0.454496295874350 0.042546020777081
0.454496295874350 0.045503704125650 0.454496295874350 0.045503704125650 0.042546020777081
0.045503704125650 0.045503704125650 0.454496295874350 0.454496295874350 0.042546020777081
0.454496295874350 0.454496295874350 0.045503704125650 0.045503704125650 0.042546020777081
0.045503704125650 0.454496295874350 0.045503704125650 0.454496295874350 0.042546020777081
0.045503704125650 0.454496295874350 0.454496295874350 0.045503704125650 0.042546020777081];
%integration degree=7 N_nodes=25:
tetra7=[0.214602871259915 0.356191386220254 0.214602871259915 0.214602871259915 0.039922750257870
0.214602871259915 0.214602871259915 0.356191386220254 0.214602871259915 0.039922750257870
0.214602871259915 0.214602871259915 0.214602871259915 0.356191386220254 0.039922750257870
0.356191386220254 0.214602871259915 0.214602871259915 0.214602871259915 0.039922750257870
0.040673958534611 0.877978124396166 0.040673958534611 0.040673958534611 0.010077211055346
0.040673958534611 0.040673958534611 0.877978124396166 0.040673958534611 0.010077211055346
0.040673958534611 0.040673958534611 0.040673958534611 0.877978124396166 0.010077211055346
0.877978124396166 0.040673958534611 0.040673958534611 0.040673958534611 0.010077211055346
0.322337890142276 0.032986329573173 0.322337890142275 0.322337890142275 0.055357181543927
0.322337890142276 0.322337890142275 0.032986329573173 0.322337890142275 0.055357181543927
0.322337890142276 0.322337890142275 0.322337890142275 0.032986329573173 0.055357181543927
0.032986329573174 0.322337890142275 0.322337890142275 0.322337890142275 0.055357181543927
0.063661001875017 0.603005664791649 0.269672331458316 0.063661001875018 0.048214285714286
0.063661001875017 0.603005664791649 0.063661001875018 0.269672331458316 0.048214285714286
0.269672331458316 0.603005664791649 0.063661001875018 0.063661001875018 0.048214285714286
0.063661001875017 0.063661001875018 0.603005664791649 0.269672331458316 0.048214285714286
0.269672331458316 0.063661001875018 0.603005664791649 0.063661001875018 0.048214285714286
0.269672331458316 0.063661001875018 0.063661001875018 0.603005664791649 0.048214285714286
0.063661001875017 0.269672331458316 0.603005664791649 0.063661001875018 0.048214285714286
0.063661001875017 0.269672331458316 0.063661001875018 0.603005664791649 0.048214285714286
0.603005664791649 0.269672331458316 0.063661001875018 0.063661001875018 0.048214285714286
0.063661001875017 0.063661001875018 0.269672331458316 0.603005664791649 0.048214285714286
0.603005664791649 0.063661001875018 0.269672331458316 0.063661001875018 0.048214285714286
0.603005664791649 0.063661001875018 0.063661001875018 0.269672331458316 0.048214285714286];
%integration degree=9 N_nodes=45:
tetra9=[0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 -0.235962039847756
0.127470936566639 0.617587190300083 0.127470936566639 0.127470936566639 0.024487896356056
0.617587190300083 0.127470936566639 0.127470936566639 0.127470936566639 0.024487896356056
0.127470936566639 0.127470936566639 0.127470936566639 0.617587190300083 0.024487896356056
0.127470936566639 0.127470936566639 0.617587190300083 0.127470936566639 0.024487896356056
0.032078830392632 0.903763508822103 0.032078830392632 0.032078830392632 0.003948520639826
0.903763508822103 0.032078830392632 0.032078830392632 0.032078830392632 0.003948520639826
0.032078830392632 0.032078830392632 0.032078830392632 0.903763508822103 0.003948520639826
0.032078830392632 0.032078830392632 0.903763508822103 0.032078830392632 0.003948520639826
0.450222904356719 0.450222904356719 0.049777095643281 0.049777095643281 0.026305552950737
0.450222904356719 0.049777095643281 0.450222904356719 0.049777095643281 0.026305552950737
0.450222904356719 0.049777095643281 0.049777095643281 0.450222904356719 0.026305552950737
0.049777095643281 0.049777095643281 0.450222904356719 0.450222904356719 0.026305552950737
0.049777095643281 0.450222904356719 0.049777095643281 0.450222904356719 0.026305552950737
0.049777095643281 0.450222904356719 0.450222904356719 0.049777095643281 0.026305552950737
0.316269552601450 0.316269552601450 0.183730447398550 0.183730447398550 0.082980383055059
0.316269552601450 0.183730447398550 0.316269552601450 0.183730447398550 0.082980383055059
0.316269552601450 0.183730447398550 0.183730447398550 0.316269552601450 0.082980383055059
0.183730447398550 0.183730447398550 0.316269552601450 0.316269552601450 0.082980383055059
0.183730447398550 0.316269552601450 0.183730447398550 0.316269552601450 0.082980383055059
0.183730447398550 0.316269552601450 0.316269552601450 0.183730447398550 0.082980383055059
0.513280033360881 0.022917787844817 0.231901089397151 0.231901089397151 0.025442624548102
0.513280033360881 0.231901089397151 0.022917787844817 0.231901089397151 0.025442624548102
0.513280033360881 0.231901089397151 0.231901089397151 0.022917787844817 0.025442624548102
0.022917787844817 0.513280033360881 0.231901089397151 0.231901089397151 0.025442624548102
0.022917787844817 0.231901089397151 0.513280033360881 0.231901089397151 0.025442624548102
0.022917787844817 0.231901089397151 0.231901089397151 0.513280033360881 0.025442624548102
0.231901089397151 0.231901089397151 0.022917787844817 0.513280033360881 0.025442624548102
0.231901089397151 0.022917787844817 0.513280033360881 0.231901089397151 0.025442624548102
0.231901089397151 0.513280033360881 0.231901089397151 0.022917787844817 0.025442624548102
0.231901089397151 0.231901089397151 0.513280033360881 0.022917787844817 0.025442624548102
0.231901089397151 0.022917787844817 0.231901089397151 0.513280033360881 0.025442624548102
0.231901089397151 0.513280033360881 0.022917787844817 0.231901089397151 0.025442624548102
0.193746475248804 0.730313427807538 0.037970048471829 0.037970048471829 0.013432438437685
0.193746475248804 0.037970048471829 0.730313427807538 0.037970048471829 0.013432438437685
0.193746475248804 0.037970048471829 0.037970048471829 0.730313427807538 0.013432438437685
0.730313427807538 0.193746475248804 0.037970048471829 0.037970048471829 0.013432438437685
0.730313427807538 0.037970048471829 0.193746475248804 0.037970048471829 0.013432438437685
0.730313427807538 0.037970048471829 0.037970048471829 0.193746475248804 0.013432438437685
0.037970048471829 0.037970048471829 0.730313427807538 0.193746475248804 0.013432438437685
0.037970048471829 0.730313427807538 0.193746475248804 0.037970048471829 0.013432438437685
0.037970048471829 0.193746475248804 0.037970048471829 0.730313427807538 0.013432438437685
0.037970048471829 0.037970048471829 0.193746475248804 0.730313427807538 0.013432438437685
0.037970048471829 0.730313427807538 0.037970048471829 0.193746475248804 0.013432438437685
0.037970048471829 0.193746475248804 0.730313427807538 0.037970048471829 0.013432438437685];
return
