function [K, F] = ApplyRobinBC_mult(model, K, F, alpha, u_out) mesh = model.Mesh; nodes = mesh.Nodes; elements = mesh.Elements; %Boundary edges edgesAll = [elements([1 2],:), elements([2 3],:), elements([3 1],:)]; edgesSorted = sort(edgesAll,1); [edgesUnique,~,ic] = unique(edgesSorted','rows'); counts = accumarray(ic,1); boundaryEdges = edgesUnique(counts==1,:); % Nx2 array for k = 1:size(boundaryEdges,1) %Loop over Robin boundary edges i = boundaryEdges(k,1); j = boundaryEdges(k,2); ri = nodes(1,i); rj = nodes(1,j); %find the edges on the axis -> homogeneous Neumann BC, no Robin contribution if ri == 0 && rj == 0 continue; end xi = nodes(:,i); xj = nodes(:,j); L = norm(xi - xj); % edge length % Robin boundary element matrices Ke = alpha * L / 6 * [2 1; 1 2]; Fe = alpha * u_out * L / 2 * [1; 1]; % Assemble K([i j],[i j]) = K([i j],[i j]) + Ke; F([i j]) = F([i j]) + Fe; end end