ExplicitStressIntegration/aFemImplementation.m at main · lluis-mv/ExplicitStressIntegration · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
function [] = aFemImplementation()

close all;
global NumericalDerivative;
NumericalDerivative = false;

%hElem = 0.0075;
hElem = 0.015;
hElem = 0.015;
hElem = 0.15;

tStart = tic;
FEM(hElem, 10, -1, true, true);
toc(tStart)


figure(900)
ll = caxis();
colorbar off;
drawnow
pause(4)
print('BVP-Strain', '-dpng')
print('BVP-Strain', '-dpdf')


figure(22)
colorbar
caxis(ll);
axis off
print('BVP-Strain-L', '-dpng')
print('BVP-Strain-L', '-dpdf')


figure(902)
ll = caxis();
colorbar off;
drawnow
pause(4)
print('BVP-Stress', '-dpng')
print('BVP-Stress', '-dpdf')


figure(23)
colorbar
caxis(ll);
axis off
print('BVP-Stress-L', '-dpng')
print('BVP-Stress-L', '-dpdf')


for consistent = [true,false]

    for nSteps = [20, 200]
        %         figure(100)
        %         hold off
        %         plot(-RefDisp, -RefForce, 'k', 'linewidth', 2)
        %         hold on
        %
        figure(100); hold off; clf
        figure(101); hold off; clf
        figure(102); hold off; clf
        figure(201); hold off; clf
        figure(202); hold off; clf

        for method = [ (1:8)+20, -1]

            disp([method, consistent])

            tStart = tic;
            [DispI, ForceI, Residuals1, ResidualsEnd] = FEM(hElem, nSteps, method, consistent);
            toc(tStart)

            SPEC = '*-.';
            if (method == 28 )
                SPEC = '*r-.';
            elseif ( method == -1)
                SPEC = 'k-.';
            end

            figure(100)
            plot(-DispI, -ForceI, SPEC)
            set(gca, 'FontSize', 15)
            xlabel('Vertical shortening, $(H-h)/H$', 'interpreter', 'latex')
            ylabel('Vertical pressure (kPa)', 'interpreter', 'latex')
            xlim([0, 0.2])
            drawnow
            hold on;

            SPEC = '*-.';
            if (method == 28 )
                SPEC = '*r-.';
            elseif ( method == -1)
                SPEC = 'ks-.';
            end

            figure(101)
            semilogy(0:(length(Residuals1)-1), Residuals1, SPEC)
            set(gca, 'FontSize', 15)
            xlabel('Iteration', 'interpreter', 'latex')
            ylabel('Norm of the residual, $\|\mathbf{R}\|$', 'interpreter', 'latex')
            drawnow
            hold on;
           if (nSteps == 20)
                xlim([0,40])
                ylim([1E-15,10])
            else
                xlim([0,25])
                ylim([1E-15,10])
            end


            figure(102)
            loglog(Residuals1(1:end-1), Residuals1(2:end), SPEC)
            set(gca, 'FontSize', 15)
            xlabel('$\|\mathbf{R}_k\|$', 'interpreter', 'latex')
            ylabel('$\|\mathbf{R}_{k+1}\|$', 'interpreter', 'latex')
            hold on
            drawnow
            xlim([1E-15,10])
            ylim([1E-15,10])

            figure(201)
            semilogy(0:(length(ResidualsEnd)-1), ResidualsEnd, SPEC)
            set(gca, 'FontSize', 15)
            xlabel('Iteration', 'interpreter', 'latex')
            ylabel('Norm of the residual, $\|\mathbf{R}\|$', 'interpreter', 'latex')
            drawnow
            hold on;

            if (nSteps == 20)
                xlim([0,40])
                ylim([1E-15,10])
            else
                xlim([0,25])
                ylim([1E-15,10])
            end


            figure(202)
            loglog(ResidualsEnd(1:end-1), ResidualsEnd(2:end), SPEC)
            set(gca, 'FontSize', 15)
            xlabel('$\|\mathbf{R}_k\|$', 'interpreter', 'latex')
            ylabel('$\|\mathbf{R}_{k+1}\|$', 'interpreter', 'latex')
            hold on
            drawnow

            xlim([1E-15,10])
            ylim([1E-15,10])


            if ( consistent == true)
                figure(100)
                print(['BVP-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
                print(['BVP-', num2str(nSteps), '-', num2str(consistent)], '-dpng')
            end
            figure(101)
            print(['BVP-A-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
            print(['BVP-A-', num2str(nSteps), '-', num2str(consistent)], '-dpng')
            figure(102)
            print(['BVP-B-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
            print(['BVP-B-', num2str(nSteps), '-', num2str(consistent)], '-dpng')

             figure(201)
            print(['BVP-C-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
            print(['BVP-C-', num2str(nSteps), '-', num2str(consistent)], '-dpng')
            figure(202)
            print(['BVP-D-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
            print(['BVP-D-', num2str(nSteps), '-', num2str(consistent)], '-dpng')
        end

        figure(102)
        PrintSlope(1E-3, 1E-2, 1, 10)
        PrintSlope(1E-2, 1E-9, 2, 10)

        print(['BVP-B-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
        print(['BVP-B-', num2str(nSteps), '-', num2str(consistent)], '-dpng')

         figure(202)
        PrintSlope(1E-3, 1E-2, 1, 10)
        PrintSlope(1E-2, 1E-9, 2, 10)

        print(['BVP-D-', num2str(nSteps), '-', num2str(consistent)], '-dpdf')
        print(['BVP-D-', num2str(nSteps), '-', num2str(consistent)], '-dpng')


        figure(100)
        axis off
        xlim([1E9,1E10])
        ll = legend('RK-1', 'RK-2', 'RK-3', 'RK-4', ...
            'RK-5', 'RK-6', 'RK-7', 'RK-8', 'RM');
        set(ll, 'interpreter', 'latex');
        print('ExampleBVP-legend', '-dpng')
        print('ExampleBVP-legend', '-dpdf')

    end
end
%legend('Reference','RK1', 'RK2', 'RK3', 'RK4', 'RK5', 'RK6', 'RK7', 'RK8', 'Implicit', 'location', 'best')