File:Finite element method 1D illustration1.png - 维基百科,自由的百科全书

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Source code

function main () % draw an illustration for finite element method  % prepare the scrreen and define some parameters    clf; hold on; axis equal; axis off;  fontsize=30; thick_line=3; thin_line=2; black=[0, 0, 0]; red=[1, 0, 0]; blue=[0, 0, 1]; arrowsize=0.1; arrow_type=1; arrow_angle=20; % (angle in degrees) circrad=0.01; % radius of ball showing up in places  a=0; b=1; % interval endpoints X=a:0.01:b; f=inline('2*x.*(1-x).^1.1'); Y=f(X); % the function h=0.2; Xh=a:h:b; Yh=f(Xh);  % the linear approximation  % x and y axes arrow([a-0.2 0], [b+0.2, 0], thin_line, arrowsize, arrow_angle, arrow_type, black)  arrow([-0.15 -0.05], [-0.15, 1.5*max(Y)], thin_line, arrowsize, arrow_angle, arrow_type, black)   % plot the graphs plot(X, Y, 'linewidth', thick_line); % mesh, and the function plot(Xh, Yh, 'linewidth', thick_line, 'color', red)  %% place some dashed lines for i=2:(length(Xh)-1)    plot([Xh(i) Xh(i)], [0, Yh(i)], 'linewidth', thin_line, 'linestyle', '--', 'color', 'black');    end  % some balls for beauty ball(a, 0, circrad, black); ball(b, 0, circrad, black); for i=2:(length(Xh)-1)    ball(Xh(i), 0, circrad, black); end  %% place text  tiny=0.07;  H=text(a+0.07, -tiny,  'x_0=0'); set(H, 'fontsize', fontsize, 'HorizontalAlignment', 'r', 'VerticalAlignment', 'top'); H=text(b-0.07, -tiny,  'x_5=1'); set(H, 'fontsize', fontsize, 'HorizontalAlignment', 'l', 'VerticalAlignment', 'top'); for i=2:(length(Xh)-1)    H=text(Xh(i), -tiny,  sprintf('x_%d', i-1));    set(H, 'fontsize', fontsize, 'HorizontalAlignment', 'c', 'VerticalAlignment', 'top'); end  saveas(gcf, 'Finite_element_method_1D_illustration1.eps', 'psc2') % export to eps  function ball(x, y, r, color)    Theta=0:0.1:2*pi;    X=r*cos(Theta)+x;    Y=r*sin(Theta)+y;    H=fill(X, Y, color);    set(H, 'EdgeColor', 'none');  function arrow(start, stop, thickness, arrow_size, sharpness, arrow_type, color)     % Function arguments: % start, stop:  start and end coordinates of arrow, vectors of size 2 % thickness:    thickness of arrow stick % arrow_size:   the size of the two sides of the angle in this picture -> % sharpness:    angle between the arrow stick and arrow side, in degrees % arrow_type:   1 for filled arrow, otherwise the arrow will be just two segments % color:        arrow color, a vector of length three with values in [0, 1]     % convert to complex numbers    i=sqrt(-1);    start=start(1)+i*start(2); stop=stop(1)+i*stop(2);    rotate_angle=exp(i*pi*sharpness/180);  % points making up the arrow tip (besides the "stop" point)    point1 = stop - (arrow_size*rotate_angle)*(stop-start)/abs(stop-start);    point2 = stop - (arrow_size/rotate_angle)*(stop-start)/abs(stop-start);     if arrow_type==1 % filled arrow        % plot the stick, but not till the end, looks bad       t=0.5*arrow_size*cos(pi*sharpness/180)/abs(stop-start); stop1=t*start+(1-t)*stop;       plot(real([start, stop1]), imag([start, stop1]), 'LineWidth', thickness, 'Color', color);        % fill the arrow       H=fill(real([stop, point1, point2]), imag([stop, point1, point2]), color);       set(H, 'EdgeColor', 'none')           else % two-segment arrow       plot(real([start, stop]), imag([start, stop]),   'LineWidth', thickness, 'Color', color);        plot(real([stop, point1]), imag([stop, point1]), 'LineWidth', thickness, 'Color', color);       plot(real([stop, point2]), imag([stop, point2]), 'LineWidth', thickness, 'Color', color);    end 
date/time username edit summary
01:53, 29 December 2005 en:User:Oleg Alexandrov (+source code)
01:30, 29 December 2005 en:User:Oleg Alexandrov

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当前2006年3月18日 (六) 20:012006年3月18日 (六) 20:01版本的缩略图1,002 × 651(42 KB)MaksimLa bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Licensing == {{PD-self}} ==Source code== <pre> <nowiki> function main () % draw an illustration for finite element method % prepare the scrreen and define some parameters clf;

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