function p08_demo ( iteration_max, h, fh ) %*****************************************************************************80 % %% P08_DEMO runs the 2D demo problem #8, 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. % % Input, external FH, the mesh density function. % if ( nargin < 1 ) iteration_max = 200; fprintf ( 1, '\n' ); fprintf ( 1, 'P08_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 < 2 ) h = 0.005; fprintf ( 1, '\n' ); fprintf ( 1, 'P08_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 if ( nargin < 3 ) fh = @p08_fh; fprintf ( 1, '\n' ); fprintf ( 1, 'P08_DEMO - Note:\n' ); fprintf ( 1, ' No value of FH was supplied.\n' ); fprintf ( 1, ' The variable density function FH08 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 8:\n' ); fprintf ( 1, ' The holey pie slice, h = %f\n', h ) fd = @p08_fd; box = [0.0,-1.0; 1.0,1.0]; c = ( sqrt ( 119 ) - 9 ) / 20; fixed = [0.9+c, c; cos(pi/12), sin(pi/12) ]; fixed = [fixed; fixed]; fixed(3:4,2) = -fixed(3:4,2); fixed = [fixed; 0.0,0.0; 0.9,0.0]; [ 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 ( 'p08_mesh.eps', node_num, p, tri_num, ... t, node_show, triangle_show ); % % Write a text file containing the nodes. % r8mat_write ( 'p08_nodes.txt', 2, node_num, p ); % % Write a text file containing the triangles. % i4mat_write ( 'p08_elements.txt', 3, tri_num, t ); return end