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  • $\begingroup$ Why the $1/N$ coefficient? $\endgroup$
    – horchler
    Commented May 25, 2015 at 22:24
  • $\begingroup$ Well you need to scale the norm, if you remove 1/N you cannot compute the rate of convergence, For example if one refines the grid by halving the grid spacing in x and y, one has four times the number of grid cells and if the error is 4 times smaller in each point => L2 stays constant. $\endgroup$
    – Millemila
    Commented May 25, 2015 at 22:35