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30 lines
992 B
30 lines
992 B
%--------------------------
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% @Author: Jingqiao Hu
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% @Date: 2021-06-16 14:52:29
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% @LastEditTime: 2022-04-25 12:47:51
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% compute NH of \Omega_{\alpha}
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% input: interpolation matrix R:[ndofs, v], which is ordered as col by col
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% output: surface NH on this fine mesh, [nnodes_mi, 2, 2, nnodes_ma]
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%--------------------------
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function NH = NH_alpha(edofMat, nn_ma, Nh, R, nnodes)
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% nn_mi = size(Nh, 1);
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NH = zeros(nnodes, 2, 2, nn_ma); % [n,2,2,v]
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for ele_mi = 1:size(edofMat, 1)
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edof = edofMat(ele_mi, :);
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Nhe = Nh(ele_mi, :, :); % [3,3]
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Nh2 = kron(permute(Nhe,[2,3,1]), eye(2));% [6,6]
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NH1 = Nh2 * R(edof, :); % [2*3,6] * [6, 2v] = [6,2v]
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NH2 = reshape(NH1', 2, [], 6); % [2, v, 6]
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NH3 = permute(NH2, [3,1,2]); % [6,2,v]
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NH4 = reshape(NH3, 2, 3, 2, []);% [2, 3, 2, v]
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NH5 = permute(NH4, [2,1,3,4]); % [3, 2, 2, v]
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NH(edof(2:2:end)/2, :, :, :) = NH5;
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end
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end
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