📄 prolong.m
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function [v] = prolong(u,p)%% [v] = prolong(u)% [v] = prolong(u,p)%% Apply 2-D multilevel prolongation based on piecewise constant % heirarchical basis functions.%% u is the grid function (2-D array) being prolongated.% p is the number of levels of prolongation. if nargin == 1 p = 1; end [m,n] = size(u); if m ~= n disp(' *** Error in restrict.m. u must be square array ***'); return elseif 2^(round(log2(n))) ~= n disp(' *** Error in restrict.m. size(u) must be power of 2 ***'); return elseif p < 1 disp(' *** Error in restrict.m. p must be positive ***'); return end for level = 1:p n2 = 2 * n; v = zeros(n2,n2); for i = 1:n ui = u(i,:); vi = [ui; ui]; vi = vi(:)'; v(2*i-1:2*i,:) = [vi; vi]; end u = v; n = n2; end
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