Kyusik,

On Thursday, November 3, 2016 at 5:51:20 AM UTC-4, hanks0...@gmail.com 
wrote:
>
>
> And, I also calculated the {l2_norm of (exact_solution - numeric_solution) 
> / sqrt(#cells)} (I divided l2norm by sqrt(#cell) Because I want to know 
> kind of average value of difference between two solution.)
>
> i.e. I want to calculate  sqrt{sum_i(exact_sol_i - sol_i)^2 / (#cell)} (I 
> think it is kind of average value of difference between two solutions)
>
This has only a meaning if all the cells have the same area. If your domain 
has 2 cells, a large one where the error is 0 and small one where the error 
is one, your average error will be 0.5 which is not true. 
 

> So, l2_norm(error) is 1.14461e-09 
>
> But the almost all values in the plot of error(Error_fe1.png) are about 
> 10^-4 that is 10^5 times higher than l2norm.
>
> I don't know what makes this big difference between 2 values.
>
I don't understand what's the problem here. Your average value is between 0 
and the the maximum value, so why is that a problem? The maximum error is 
only at a few points at the boundary, most of the domain has an error much 
smaller than the maximum. What is the error in the blue zone?

Best,

Brunon
 

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