function p09_demo ( iteration_max, h ) %*****************************************************************************80 % %% P09_DEMO runs the 2D demo problem #09, with mesh size H. % % Licensing: % % (C) 2004 Per-Olof Persson. % See COPYRIGHT.TXT for details. % % Modified: % % 06 February 2006 % % Reference: % % Per-Olof Persson and Gilbert Strang, % A Simple Mesh Generator in MATLAB, % SIAM Review, % Volume 46, Number 2, June 2004, pages 329-345. % % Parameters: % % Input, integer ITERATION_MAX, the maximum number of iterations that DISTMESH % should take. (The program might take fewer iterations if it detects convergence.) % % Input, real H, the mesh spacing parameter. % if ( nargin < 1 ) iteration_max = 200; fprintf ( 1, '\n' ); fprintf ( 1, 'P09_DEMO - Note:\n' ); fprintf ( 1, ' No value of ITERATION_MAX was supplied.\n' ); fprintf ( 1, ' The default value ITERATION_MAX = %d will be used.\n', ... iteration_max ); end if ( nargin < 1 ) h = 0.08; fprintf ( 1, '\n' ); fprintf ( 1, 'P09_DEMO - Note:\n' ); fprintf ( 1, ' No value of H was supplied.\n' ); fprintf ( 1, ' The default value H = %f will be used.\n', h ); end % % Put the random number generator into a fixed initial state. % rand ( 'state', 111 ); % % Set the rendering method for the current figure to Z-buffering. % set ( gcf, 'rend', 'z' ); fprintf ( 1, '\n' ); fprintf ( 1, 'Problem 09:\n' ); fprintf ( 1, ' Jeff Borggaard''s square with hexagonal holes, h = %f\n', h ) hex1 = [ 0.15, 0.75; ... 0.20, 0.6634; ... 0.30, 0.6634; ... 0.35, 0.75; ... 0.30, 0.8366; ... 0.20, 0.8366]; hex2 = [ 0.50, 0.40; ... 0.55, 0.3134; ... 0.65, 0.3134; ... 0.70, 0.40; ... 0.65, 0.4866; ... 0.55, 0.4866 ]; fd = @p09_fd; fh = @p09_fh; box = [0.0,0.0; 1.0,1.0]; fixed = [0.0,0.0; 0.0,1.0; 1.0,0.0; 1.0,1.0; hex1; hex2 ]; [ p, t ] = distmesh_2d ( fd, fh, h, box, iteration_max, fixed ); post_2d ( p, t, fh ) % % Write a PostScript image of the triangulation. % [ node_num, junk ] = size ( p ); [ tri_num, junk ] = size ( t ); p = p'; t = t'; node_show = 0; triangle_show = 1; triangulation_order3_plot ( 'p09_mesh.eps', node_num, p, tri_num, ... t, node_show, triangle_show ); % % Write a text file containing the nodes. % r8mat_write ( 'p09_nodes.txt', 2, node_num, p ); % % Write a text file containing the triangles. % i4mat_write ( 'p09_elements.txt', 3, tri_num, t ); return end