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49 lines
1.3 KiB
49 lines
1.3 KiB
function [IEN] = IEN_2D(p_1,p_2,n_1,n_2,Xi_1,Xi_2)
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% IEN_2D
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% Written by Christopher Coley
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% Last modified 24 Sep 14
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%
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% Computes the IEN array for a tw0-dimensional B-spline basis
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%
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% Output:
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% IEN - array mapping local basis function/element numbers to global
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% basis function numbers
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%
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% Input:
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% p_1 - polynomial degree of the basis function to be evaluated in the
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% first dimension; scalar
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% p_2 - polynomial degree of the basis function to be evaluated in the
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% second dimension; scalar
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% n_1 - total number of basis functions in the first dimension; scalar
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% n_2 - total number of basis functions in the second dimension; scalar
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% Xi_1 - knot vector in the first dimension; row vector
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% Xi_2 - knot vector in the second dimension; row vector
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IEN_1 = IEN_1D(p_1,n_1,Xi_1);
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IEN_2 = IEN_1D(p_2,n_2,Xi_2);
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n_el_1 = size(IEN_1,2);
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n_el_2 = size(IEN_2,2);
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IEN = zeros(p_1*p_2+p_1+p_2+1,n_el_1*n_el_2);
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for e1 = 1:n_el_1
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for a1 = 1:p_1+1
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i1 = IEN_1(a1,e1);
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for e2 = 1:n_el_2
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for a2 = 1:p_2+1
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i2 = IEN_2(a2,e2);
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e = (e1-1)*n_el_2 + e2;
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a = (a1-1)*(p_2+1) + a2;
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i = (i1-1)*n_2 + i2;
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IEN(a,e) = i;
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end
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end
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end
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end
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