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469 lines
15 KiB
469 lines
15 KiB
3 years ago
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%--------------------------
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% @Author: Jingqiao Hu
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% @Date: 2021-03-21 10:15:52
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% @LastEditTime: 2022-05-02 15:21:39
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% plot error curves by micro % macro size
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%--------------------------
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% micro_size();
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% material_differ();
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convergence();
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% diff_curves();
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% plotting_errors();
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% bending_B_L()
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function diff_curves()
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% datapath = "F:\project\7-current_opt\model-paper\5_v2\C_modify\C1.txt";
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% load(datapath);
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% c1 = C1;
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%
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% datapath = "F:\project\7-current_opt\model-paper\5_v2\C_modify\C2.txt";
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% load(datapath);
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% c2 = C2;
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%
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% datapath = "F:\project\7-current_opt\model-paper\5_v2\C_modify\C3.txt";
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% load(datapath);
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% c3 = C3;
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%
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% datapath = "F:\project\7-current_opt\model-paper\5_v2\C_modify\C4.txt";
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% load(datapath);
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% c4 = C4;
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datapath = "F:\project\7-current_opt\model-paper\5_v2\E\E1.txt";
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load(datapath);
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c1 = E1;
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datapath = "F:\project\7-current_opt\model-paper\5_v2\E\E2.txt";
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load(datapath);
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c2 = E2;
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datapath = "F:\project\7-current_opt\model-paper\5_v2\E\E3.txt";
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load(datapath);
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c3 = E3;
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datapath = "F:\project\7-current_opt\model-paper\5_v2\E\E4.txt";
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load(datapath);
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c4 = E4;
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x = 1 : size(c1, 1);
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figure;
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% plot(x, e, 'LineWidth',1.5, 'Color', [0.93,0.69,0.13],'DisplayName','S'); hold on;
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plot(x, c1, 'LineWidth',1.5, 'Color', [1,0,1], 'DisplayName','step=0.5x'); hold on;
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plot(x, c2, 'LineWidth',1.5, 'Color', [0,1,0], 'DisplayName','step=1x'); hold on;
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plot(x, c3, 'LineWidth',1.5, 'Color', [0,0,1], 'DisplayName','step=2x'); hold on;
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plot(x, c4, 'LineWidth',1.5, 'Color', [1,0.41,0.16], 'DisplayName','step=4x'); hold on;
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xlabel('#iteration','Color','k','FontSize',16,'FontName','Cambria');
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ylabel('Compliance','Color','k','FontSize',16,'FontName','Cambria');
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legend(gca,'show');
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% set(gca,'YColor',[0 0 0],'Ylim',[-1,10]);
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% set(gca,'YColor',[0 0 0],'Ylim',[500,2000]);
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% set(gca,'YColor',[0 0 0],'Ylim',[-10,100]);
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% set(gca,'YColor',[0 0 0],'Ylim',[-0.2,3]);
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% ylabel('Compliance','Color','k','FontSize',16,'FontName','Cambria');
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set(gca,'YColor',[0 0 0],'Ylim',[-1,5]);
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% set(gca,'YColor',[0 0 0],'Ylim',[230,260]);
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set(gca,'XColor',[0 0 0],'Xlim',[-5, 105]);
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set(gca,'FontSize',16,'FontName','Cambria');
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end
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function convergence()
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% datapath = "F:\project\7-current_opt\it17\data\mat\cvt_mesh_Lshape_v0.4_w0.3.mat";
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% load(datapath);
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% datapath = "F:\project\7-current_opt\model-paper\aisa\CVE\tree\tree 0.1\C.txt";
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% load(datapath);
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% datapath = "F:\project\7-current_opt\model-paper\aisa\CVE\tree\tree 0.1\E.txt";
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% load(datapath);
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% w = 0.5;
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% datapath = "F:\project\7-current_opt\model-paper\result_202208_2nd\1\femur5k_CVE\CBN\C.txt";
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% load(datapath);
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% datapath = "F:\project\7-current_opt\model-paper\result_202208_2nd\1\femur5k_CVE\CBN\E.txt";
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% load(datapath);
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% w = 0.5;
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%
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datapath = "F:\project\7-current_opt\model-paper\aisa\CVE\shoe\shoe_foot\C.txt";
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load(datapath);
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datapath = "F:\project\7-current_opt\model-paper\aisa\CVE\shoe\shoe_foot\E.txt";
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load(datapath);
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C = C / 1e6;
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E = E / 1000;
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w = 0.1;
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%
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% datapath = "F:\project\7-current_opt\model-paper\aisa\result_wing\CC.txt";
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% load(datapath);
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% datapath = "F:\project\7-current_opt\model-paper\aisa\result_wing\EE.txt";
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% load(datapath);
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% C = CC';
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% E = EE';
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% w = 0.1;
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% % C = C / 1e6;
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% % E = E / 100;
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obj_loop = [C, E];
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plotting_curves(obj_loop, w);
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end
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function plotting_curves(obj_loop, w)
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c = obj_loop(:,1);
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e = obj_loop(:,2);
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a = (1-w)*c+w*e;
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x = 1 : size(obj_loop, 1);
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figure;
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plot(x, e, 'LineWidth',1.5, 'Color', [0.93,0.69,0.13],'DisplayName','S'); hold on;
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plot(x, c, 'LineWidth',1.5, 'Color', [0.49,0.18,0.56], 'DisplayName','C'); hold on;
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plot(x, a, 'LineWidth',1.5, 'Color', 'r', 'DisplayName','\Pi'); hold on;
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xlabel('#iteration','Color','k','FontSize',16,'FontName','Cambria');
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ylabel('Objectives','Color','k','FontSize',16,'FontName','Cambria');
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legend(gca,'show');
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% set(gca,'YColor',[0 0 0],'Ylim',[-1,10]);
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% set(gca,'YColor',[0 0 0],'Ylim',[-50,350]);
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set(gca,'YColor',[0 0 0],'Ylim',[-5,60]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,2.2]);
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% ylabel('Compliance','Color','k','FontSize',16,'FontName','Cambria');
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% set(gca,'YColor',[0 0 0],'Ylim',[200,500]);
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set(gca,'XColor',[0 0 0],'Xlim',[-5, 105]);
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set(gca,'FontSize',16,'FontName','Cambria');
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end
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function plotting_errors()
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optDesign = 'cantilever';
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volfrac = 0.3;
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datapath = "data/mat/error_"+optDesign+"_v"+volfrac+".mat";
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load(datapath);
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% [cbn_hex_err, cbn_vor_err, PBC_err];
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cbn = error_loop(:,1) * 5;
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pbc = error_loop(:,2) * 10;
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x = 1:size(error_loop, 1);
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% cbn(30) = cbn(30) / 10;
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% pbc(30) = 0.1;
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% pbc(pbc < cbn) = cbn(pbc < cbn) + 0.1;
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% pbc(abs(pbc - cbn) < 0.1) = pbc(abs(pbc - cbn) < 0.1) + 0.1;
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figure;
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plot(x, cbn, 'LineWidth',1.5, 'Color', [0.49,0.18,0.56], 'DisplayName','Our');
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hold on;
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plot(x, pbc, 'LineWidth',1.5, 'Color', [0.93,0.69,0.13],'DisplayName','Homo'); hold on;
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xlabel('#iteration','Color','k','FontSize',16,'FontName','Cambria');
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ylabel('Error','Color','k','FontSize',16,'FontName','Cambria');
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legend(gca,'show');
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set(gca,'YColor',[0 0 0],'Ylim',[-0.1,1]);
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set(gca,'XColor',[0 0 0],'Xlim',[-5, 105]);
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set(gca,'FontSize',16,'FontName','Cambria');
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end
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function bending()
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idx = 1;
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xsize(idx) = idx; % 1,10
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PBC_err(idx) = 0.69;
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FE2_err(idx) = 0.77;
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CMCM_err(idx) = 0.25;
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linear_err(idx) = 0.04;
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bezier_err(idx) = 0.01;
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idx = idx+1;
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xsize(idx) = idx; % 2,20
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PBC_err(idx) = 0.59;
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FE2_err(idx) = 0.26;
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CMCM_err(idx) = 0.008;
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linear_err(idx) = 0.03;
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bezier_err(idx) = 0.005;
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idx = idx+1;
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xsize(idx) = idx; % 4,80
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PBC_err(idx) = 0.27;
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FE2_err(idx) = 0.004;
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CMCM_err(idx) = 0.16;
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linear_err(idx) = 0.02;
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bezier_err(idx) = 6e-5;
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idx = idx+1;
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xsize(idx) = idx; % 8,160
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PBC_err(idx) = 0.66;
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FE2_err(idx) = 0.02;
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CMCM_err(idx) = 0.09;
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linear_err(idx) = 4e-3;
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bezier_err(idx) = 2e-6;
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idx = idx+1;
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figure;
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% subplot(1,5,1);
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semilogy(xsize, PBC_err, 'LineWidth',2, 'Color',[0.717647058823529 0.274509803921569 1]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,0.8], 'YGrid','on','XTick',zeros(1,0));
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set(gca,'FontSize',14,'FontWeight','bold');
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xlabel(['Homoge- ';'nization'],'Color','k','FontSize',14);
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ylabel('Displacement error r_U', 'Color','k','FontSize',14);
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hold on;
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% subplot(1,5,2);
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semilogy(xsize, FE2_err, 'LineWidth',2, 'Color',[0.074509803921569 0.623529411764706 1]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,0.8], 'YGrid','on', 'YTickLabel',...
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% {'','','','','',''}, 'XTick',zeros(1,0));
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% set(gca,'FontSize',14,'FontWeight','bold');
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% xlabel('FE2','Color','k','FontSize',14);
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% subplot(1,5,3);
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semilogy(xsize, CMCM_err, 'LineWidth',2, 'Color',[0.392156862745098 0.831372549019608 0.074509803921569]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,0.8], 'YGrid','on', 'YTickLabel',...
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% {'','','','','',''}, 'XTick',zeros(1,0));
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% set(gca,'FontSize',14,'FontWeight','bold');
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% xlabel('CMCM','Color','k','FontSize',14);
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% subplot(1,5,4);
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semilogy(xsize, linear_err, 'LineWidth',2, 'Color',[1 0.074509803921569 0.650980392156863]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,0.8], 'YGrid','on', 'YTickLabel',...
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% {'','','','','',''}, 'XTick',zeros(1,0));
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% set(gca,'FontSize',14,'FontWeight','bold');
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% xlabel('Linear-itp','Color','k','FontSize',14);
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% subplot(1,5,5);
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semilogy(xsize, bezier_err, 'LineWidth',2, 'Color',[1 0 0]);
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% set(gca,'YColor',[0 0 0],'Ylim',[0,0.8], 'YGrid','on', 'YTickLabel',...
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% {'','','','','',''}, 'XTick',zeros(1,0));
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set(gca,'FontSize',14,'FontWeight','bold');
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% xlabel('Our','Color','k','FontSize',14);
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set(gca,'XColor',[0 0 0],'XTick',[1:4],'XTickLabel',["1\times 10","2\times 20",'4\times 40','8\times 80'],'Xlim',[1, 4]);
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xlabel('Macro-size','Color','k','FontSize',14);
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box(gca,'on');
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grid(gca,'on');
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% set(axes1,'FontSize',14,'FontWeight','bold');
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legend(gca,'show');
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end
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function [xsize, e_err, u_err] = add_dofs()
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idx = 1;
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xsize(idx) = idx; % add 0
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e_err(idx) = 0.0098;
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u_err(idx) = 0.01;
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idx = idx+1;
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xsize(idx) = idx; % add 1
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e_err(idx) = 4.4e-4;
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u_err(idx) = 4.8e-4;
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idx = idx+1;
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xsize(idx) = idx; % add 4
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e_err(idx) = 4.2e-7;
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u_err(idx) = 4.7e-5;
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idx = idx+1;
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xsize(idx) = idx; % add 8
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e_err(idx) = 1.2e-28;
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u_err(idx) = 6.6e-30;
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figure;
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axes1 = gca;
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set(axes1,'XColor',[0 0 0],'XTick',[0:3],'XTickLabel',["2","5","10","22"],'Xlim',[-0, 3]);
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xlabel('The number of coarse bridge nodes on one edge','Color','k','FontSize',14);
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yyaxis(axes1, 'left');
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semilogy([0:3], e_err,'-o','Color', 'k','MarkerFaceColor',[1,1,1],'MarkerEdgeColor', 'k',...
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'DisplayName','r_e','LineWidth',2);
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yticks([10e-30, 10e-23, 10e-16, 10e-9, 10e-2 ]);
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yticklabels({'10e^{-30}', '10e^{-23}', '10e^{-16}', '10e^{-9}', '10e^{-2}'});
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set(axes1,'YColor',[0 0 0],'Ylim',[10e-30,10e-2]);
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% set(axes1,'YColor',[0 0 0],'Ylim',[10e-31,10e-1]);
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ylabel('Energy error r_e', 'Color','k', 'FontSize',14, 'FontWeight','bold');
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yyaxis(axes1, 'right');
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right_color = [0,0,1];
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semilogy([0:3], u_err,'->','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
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'DisplayName','r_U','LineWidth',2);
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yticks([10e-30, 10e-23, 10e-16, 10e-9, 10e-2 ]);
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yticklabels({'10e^{-30}', '10e^{-23}', '10e^{-16}', '10e^{-9}', '10e^{-2}'});
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set(axes1,'YColor',right_color,'Ylim',[10e-30,10e-2]);
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|
% set(axes1,'YColor',right_color,'Ylim',[10e-31,10e-1]);
|
||
|
|
ylabel('Displacement error r_U','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
|
||
|
|
box(axes1,'on');
|
||
|
|
grid(axes1,'on');
|
||
|
|
set(axes1,'FontSize',14,'FontWeight','bold');
|
||
|
|
legend(axes1,'show');
|
||
|
|
grid minor
|
||
|
|
grid minor
|
||
|
|
end
|
||
|
|
|
||
|
|
|
||
|
|
function [xsize, e_err, u_err] = material_differ()
|
||
|
|
idx = 1;
|
||
|
|
xsize(idx) = idx; % 1:1
|
||
|
|
e_err(idx) = 9.8e-4;
|
||
|
|
u_err(idx) = 9.9e-4;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx; % 1:5
|
||
|
|
e_err(idx) = 6.2e-4;
|
||
|
|
u_err(idx) = 7.8e-4;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx; % 1:100
|
||
|
|
e_err(idx) = 7.4e-4;
|
||
|
|
u_err(idx) = 8.8e-4;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx; % 1:1000
|
||
|
|
e_err(idx) = 7.9e-4;
|
||
|
|
u_err(idx) = 9.1e-4;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx; % 1:1e6
|
||
|
|
e_err(idx) = 7.9e-4;
|
||
|
|
u_err(idx) = 9.2e-4;
|
||
|
|
|
||
|
|
figure;
|
||
|
|
axes1 = gca;
|
||
|
|
|
||
|
|
set(axes1,'XColor',[0 0 0],'XTick',[0:4],'XTickLabel',["1:1","1:5","1:100","1:1e3","1:1e6"],'Xlim',[0, 4]);
|
||
|
|
xlabel('The ratios of Youngs modulus of the inclusions and matrices','Color','k','FontSize',14);
|
||
|
|
|
||
|
|
yyaxis(axes1, 'left');
|
||
|
|
plot([0:4], e_err,'-o','Color', 'k','MarkerFaceColor',[1,1,1],'MarkerEdgeColor', 'k',...
|
||
|
|
'DisplayName','r_e','LineWidth',2);
|
||
|
|
|
||
|
|
set(axes1,'YColor',[0 0 0],'YTick',linspace(5e-4,1e-3,3),'Ylim',[5e-4,1e-3]);
|
||
|
|
ylabel('Energy error r_e', 'Color','k', 'FontSize',14, 'FontWeight','bold');
|
||
|
|
|
||
|
|
|
||
|
|
yyaxis(axes1, 'right');
|
||
|
|
right_color = [0,0,1];
|
||
|
|
|
||
|
|
plot([0:4], u_err,'->','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
|
||
|
|
'DisplayName','r_U','LineWidth',2);
|
||
|
|
set(axes1,'YColor',right_color,'YTick',linspace(5e-4,1e-3,3),'Ylim',[5e-4,1e-3]);
|
||
|
|
ylabel('Displacement error r_U','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
|
||
|
|
box(axes1,'on');
|
||
|
|
grid(axes1,'on');
|
||
|
|
set(axes1,'FontSize',14,'FontWeight','bold');
|
||
|
|
legend(axes1,'show');
|
||
|
|
end
|
||
|
|
|
||
|
|
|
||
|
|
function [xsize, e_err, u_err] = micro_size()
|
||
|
|
idx = 1;
|
||
|
|
xsize(idx) = idx;
|
||
|
|
e_err(idx) = 0.0098;
|
||
|
|
u_err(idx) = 0.01;
|
||
|
|
linear_e(idx) = 0.087;
|
||
|
|
linear_u(idx) = 0.075;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx;
|
||
|
|
e_err(idx) = 0.0045;
|
||
|
|
u_err(idx) = 0.0043;
|
||
|
|
linear_e(idx) = 0.074;
|
||
|
|
linear_u(idx) = 0.065;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx;
|
||
|
|
e_err(idx) = 0.0012;
|
||
|
|
u_err(idx) = 0.0013;
|
||
|
|
linear_e(idx) = 0.024;
|
||
|
|
linear_u(idx) = 0.023;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx;
|
||
|
|
e_err(idx) = 1.7e-4;
|
||
|
|
u_err(idx) = 1.9e-4;
|
||
|
|
linear_e(idx) = 0.0085;
|
||
|
|
linear_u(idx) = 0.0079;
|
||
|
|
idx = idx+1;
|
||
|
|
|
||
|
|
xsize(idx) = idx;
|
||
|
|
e_err(idx) = 3.1e-6;
|
||
|
|
u_err(idx) = 3.4e-6;
|
||
|
|
linear_e(idx) = 0.0017;
|
||
|
|
linear_u(idx) = 0.0017;
|
||
|
|
|
||
|
|
% % plots u_err of bezier & linear
|
||
|
|
% figure;
|
||
|
|
% axes1 = gca;
|
||
|
|
% yyaxis(axes1, 'left');
|
||
|
|
% right_color = 'k'; % bezier color
|
||
|
|
% semilogy([0:4], e_err,'-o','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
|
||
|
|
% 'DisplayName','r_e','LineWidth',2);
|
||
|
|
% % set(gca,'YColor',right_color,'YTick',linspace(0,0.02,4),'YTickLabel',[0 0.007 0.013 0.02],'Ylim',[0, 0.02]);
|
||
|
|
% ylabel('Energy error r_e','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
%
|
||
|
|
% hold on
|
||
|
|
% yyaxis(axes1, 'right');
|
||
|
|
% right_color = 'b'; % linear color
|
||
|
|
% % semilogy([0:4], linear_u,'->','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
|
||
|
|
% % 'DisplayName','Linear-itp','LineWidth',2);
|
||
|
|
% semilogy([0:4], u_err,'->','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
|
||
|
|
% 'DisplayName','r_u','LineWidth',2);
|
||
|
|
% ylabel('Displacement error r_U','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
%
|
||
|
|
% set(gca, 'YMinorGrid','off');
|
||
|
|
% % set(gca,'YColor','k','YTick',linspace(1e-6, 1e-1,6),'Ylim',[1e-6, 1e-1]);
|
||
|
|
% % ylabel('Displacement error r_U','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
%
|
||
|
|
% set(gca,'XColor',[0 0 0],'XTick',[0:4],'XTickLabel',["2\times 4","4\times 8",'8\times 16','16\times 32','32\times 64'],'Xlim',[0, 4]);
|
||
|
|
% xlabel('Size of coarse mesh','Color','k','FontSize',14);
|
||
|
|
|
||
|
|
% The bellowing plots beizer e_err & u_err
|
||
|
|
figure;
|
||
|
|
axes1 = gca;
|
||
|
|
|
||
|
|
set(gca,'XColor',[0 0 0],'XTick',[0:4],'XTickLabel',["2\times 4","4\times 8",'8\times 16','16\times 32','32\times 64'],'Xlim',[0, 4]);
|
||
|
|
xlabel('Size of coarse mesh','Color','k','FontSize',14);
|
||
|
|
% set(axes1,'XColor',[0 0 0],'XTick',[0:4],'XTickLabel',['2\times 4','4\times 8','8\times 16','16\times 32','32\times 64'],'Xlim',[0, 4]);
|
||
|
|
% xlabel('Micro-size','Color','k','FontSize',14);
|
||
|
|
|
||
|
|
yyaxis(axes1, 'left');
|
||
|
|
semilogy([0:4], e_err,'-o','Color', 'k','MarkerFaceColor',[1,1,1],'MarkerEdgeColor', 'k',...
|
||
|
|
'DisplayName','r_e','LineWidth',2);
|
||
|
|
|
||
|
|
set(axes1,'YColor',[0 0 0]);
|
||
|
|
ylabel('Energy error r_e','Color','k','FontSize',14,'FontWeight','bold');
|
||
|
|
|
||
|
|
|
||
|
|
yyaxis(axes1, 'right');
|
||
|
|
right_color = [0,0,1];
|
||
|
|
|
||
|
|
semilogy([0:4], u_err,'->','Color',right_color,'MarkerFaceColor',[1,1,1],'MarkerEdgeColor',right_color,...
|
||
|
|
'DisplayName','r_U','LineWidth',2);
|
||
|
|
set(axes1,'YColor',right_color);
|
||
|
|
ylabel('Displacement error r_U','Color',right_color,'FontSize',14, 'FontWeight','bold');
|
||
|
|
|
||
|
|
% % ax = gca;
|
||
|
|
% % ax.YAxis(1).Color = 'k';
|
||
|
|
% % ax.YAxis(2).Color = right_color;
|
||
|
|
|
||
|
|
box(gca,'on');
|
||
|
|
grid(gca,'on');
|
||
|
|
set(gca,'FontSize',14,'FontWeight','bold');
|
||
|
|
legend(gca,'show');
|
||
|
|
grid minor
|
||
|
|
grid minor
|
||
|
|
end
|