Dear Prof. Bangerth,

Thanks for the fast reply.

Yes, I want to extend the solution from the neighboring cells to the
current cell. I know different cells have different polynomial
descriptions,

but in order to apply the limiters, information from the neighbor cells is
required. Is it possible to extend the solutions from neighbors through

interpolation? I am not sure how to do that in deal.II.


Thanks,
Jiaqi

2016-09-19 17:36 GMT-04:00 Wolfgang Bangerth <bange...@colostate.edu>:

> On 09/19/2016 03:15 PM, Jiaqi ZHANG wrote:
>
>>
>> I was trying to get the values of the solution polynomial in the
>> neighbor cells in DG,
>>
>> for example, I want to compute
>> View the MathML source
>>
>> where p_i are the solution polynomials of the neighbors, \Delta_0 is the
>> current cell.
>>
>> I cannot find any function to do this in Finite elements
>> <http://www.dealii.org/8.4.1/doxygen/deal.II/group__feall.html> ยป Finite
>> element access/FEValues classes
>> <http://www.dealii.org/8.4.1/doxygen/deal.II/group__feaccess.html>
>>
>> How should I implement this in deal.II?
>>
>
> You mean that you want to *extend the solution from the neighboring cell
> to the current cell*? In general, the polynomials that describe the
> solution are of course only defined on one cell, and there is a separate
> polynomial description on the neighboring cell.
>
> Best
>  Wolfgang
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 bange...@colostate.edu
>                            www: http://www.math.colostate.edu/~bangerth/
>
>
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