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main_long.m
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main_long.m
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clc
clear all
close all
%psri = 'yes';
psri = 'no';
% Start time
tic
disp(['Main (PSRI=' psri ')']);
% out = 'yes';
out = 'no';
% plot = 'yes';
plot = 'no';
% Mu Definition
mu = 1;
% Lambda Definition
lambda = 1;
% 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=5';
% 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
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear all
close all
psri = 'yes';
%psri = 'no';
% Start time
tic
disp(['Main (PSRI=' psri ')']);
% out = 'yes';
out = 'no';
% plot = 'yes';
plot = 'no';
% Mu Definition
mu = 1;
% Lambda Definition
lambda = 1;
% 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=5';
% 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