Shahin,

I think this does what you want 
https://dealii.org/current/doxygen/deal.II/namespaceGridTools.html#addb822f0e3068e48640ecc981ee6c1e6
 

I am not sure I understand what's your question about lumping. 

Best,

Bruno

On Thursday, May 20, 2021 at 4:11:47 AM UTC-4 sh1990....@gmail.com wrote:

> Dear all
> Hello, hope you are safe and healthy.
>
> I am trying to use deal.ii for my work but I have encountered some 
> difficulties during implementation and I would highly appreciate it if you 
> can help me with it.
>
> I want  to use flux corrected transport scheme, and for this I should go 
> through all the neighbouring of a certain node and compute the fluxes to 
> that node, there is also a flux limiter which is depend on this flux, so I 
> can't go cell by cell as many of the tutorial in dealii has suggested, 
> instead I need to go through a patch consist of all neighbouring cells, now 
> I am just wondering whether there is any class in dealii which can do this 
> process, I would really appreciate any help and feedback from you.
>
> On the other hand there is a part in which I should compute a lump matrix 
> and add it to the scheme, but I feel like this is also wrong and should not 
> be done over a cell(please see the attachment).
>
> I am trying to implement some initial conditions, whenever I run each part 
> of the code separately I can get the picture but when I am trying to put it 
> all together in a loop it won't work (please see the attachment). I would 
> be thankful if you could let me know how I can fix it. 
>
> I am looking forward to hearing from you.
> Sincerely 
> Shahin Heydari
>
>

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