Hi John
Finding the temperature at an arbitrary point ((x, y)) within a finite element mesh can be challenging because directly calculating the temperature at a random (x, y) point would require identifying the element containing the point and using interpolation functions, which can be complex and computationally intensive.
Instead of calculating the temperature at the exact (x, y) point, it can be approximated to the temperature at the nearest node. This is an efficient approximation because it reduces the complexity and also gives closer estimate to the temperature if the mesh is sufficiently refined.
If observed closely, it can be understood that same method is followed in the documentation in finding the temperature at the centre of the right edge as well.
% Function to find the index of the nearest node
getClosestNode = @(p, x, y) find(min((p(1,:) - x).^2 + (p(2,:) - y).^2) == (p(1,:) - x).^2 + (p(2,:) - y).^2);
% Find the index of the nearest node
nid = getClosestNode(p, x_target, y_target);% (x_target, y_target) are the coordinates of the specific position we would like to calculate the temperature at.
To find the temperature at top right corner of the slot, substitute x_target = 0.5 and y_target = 0.8.
I hope this helps.
