Hi Chucui,

I can only offer you a very brief reply right now: You might want to look into 
the ConvergenceTable 
<https://www.dealii.org/9.0.0/doxygen/deal.II/classConvergenceTable.html> class 
to help you with (1). The introduction to the class directs you to some 
tutorials that indicate its use.

Best,
Jean-Paul

> On 21 Feb 2019, at 10:11, chucui1...@gmail.com wrote:
> 
> Hi all,
> 
> I have 2 questions of computing convergence rate of L2 norm of error:
> 
> 1. If I don't have exact solution, does deal.ii have functions to compute 
> convergence rate directly? (Like VectorTools::integrate_difference, which 
> deals with the problem with exact solution  )  
>   
> 2. If  I want to compute convergence rate of error of solutions with 
> different globally refinement (u_{h}-u_{h/2}, u_{h/2}-u_{h/4}, and so on ), 
> does deal.ii have  functions to compute convergence rate directly?
> if not, how to deal with computing u_{h}-u_{h/2}, where the 2 numerical 
> solution have different size of vector?
> 
> Thanks in advance!
> 
> Best,
> Chucui
> 
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