-
Notifications
You must be signed in to change notification settings - Fork 2
/
Copy pathmain.m
166 lines (115 loc) · 3.54 KB
/
main.m
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
clc
clear all
close all
psri = 'yes';
% psri = 'no';
% Start time
tic
disp(['Main (PSRI=' psri ')']);
% out = 'yes';
out = 'no';
% plot = 'yes';
plot = 'no';
% E Definition
E = 10.92*10^6;
% ni Definition
ni = 0.3;
% Mu Definition
%mu = 1;
mu = E / (2 + 2*ni);
% Lambda Definition
% lambda = 1;
lambda = (E*ni)/ ( (1 + ni) * (1 - 2*ni) );
% h_max Array Definition
h = [0.4, 0.3, 0.2, 0.15, 0.1, 0.075];
n = length(h);
% Thickness Parameter Array Definition
t = [0.00001, 0.0001, 0.001, 0.01];
nt = length(t);
% Mesh Building
% meshbuilder(h);
% Quadrature Degree
fdq = 'degree=4';
% Error Arrays
errL2 = zeros(n,nt);
errH1 = zeros(n,nt);
% Computation
for j=1:nt
disp(['t = ', num2str(t(j))]);
pre_comp_sym (mu, lambda, t(j));
for i=1:n
%%% Cleaning WorkSpace
clear xv yv vertices edges endpoints boundary boundedges;
%%% Old Mesh Building
% [xv,yv,vertices,edges,endpoints,boundary,boundedges] = meshgen(h(i));
%%% Meshes Loading
meshname = ['./meshes/mesh' num2str(h(i)) '.mat'];
load(meshname);
disp([' Mesh: ', num2str(i), ' - h_max = ', num2str(h(i)), ' loaded:']);
nver = length(xv);
nedge = length(endpoints);
nele = length(edges);
% Error Computation
[errL2(i,j), errH1(i,j)] = RM (...
xv, yv, ...
vertices, ...
edges, ...
endpoints, ...
boundary, ...
boundedges, ...
fdq, ...
mu, ...
lambda, ...
t(j), ...
psri, ...
h(i), ...
out);
disp([' - errL2 = ', num2str(errL2(i,j))]);
disp([' - errH1 = ', num2str(errH1(i,j))]);
end % end for i
end % end for j
clc
wtime = toc;
fprintf ( 1, ' MAIN took %f seconds to run.\n', wtime );
disp(['h = ', num2str(h)]);
disp(' ');
% Plot Loop
for j=1:nt
%disp(['t = ', num2str(t(j))]);
%disp([' errL2 = ', num2str(errL2(:,j)')]);
%disp([' errH1 = ', num2str(errH1(:,j)')]);
% Figure 1, L2 Error
figure(1);
hold on;
subplot(2, 2, j);
loglog (h, errL2(:,j), '-*r', h, h.^3,'-b');
grid on;
% legend ('ErrL2', 'h^3', 'location', 'northeastoutside');
title (['ErrL2 (t = ', num2str(t(j)), ')']);
if (strcmp(psri,'yes'))
saveas (1, './conv_plots/psri_convL2.png');
else
saveas (1, './conv_plots/fem_convL2.png');
end
% Figure 2, H1 Error
figure(2);
hold on;
subplot(2, 2, j), loglog (h, errH1(:,j), '-*r', h, h.^2,'-b');
grid on;
% legend ('ErrH1', 'h^2', 'location', 'northeastoutside');
title (['ErrH1 (t = ', num2str(t(j)), ')']);
if (strcmp(psri,'yes'))
saveas (2, './conv_plots/psri_convH1.png');
else
saveas (2, './conv_plots/fem_convH1.png');
end
end
% LATEX ERROR TABLE
latex = 'yes';
if (strcmp(latex,'yes'))
if (strcmp(psri,'yes'))
latexReport('./latex_reports/psri_latex_report.tex', errL2, errH1, h, nt, n, t);
else
latexReport('./latex_reports/fem_latex_report.tex', errL2, errH1, h, nt, n, t);
end
end % end if