Hi ChengJiang , 
Martin answered this same question, when I asked this recently. 

https://groups.google.com/g/dealii/c/OWd7QsSSR18/m/q0j08zwLCQAJ?utm_medium=email&utm_source=footer

Cheers, 
Subramanya

On Thursday, January 23, 2025 at 8:18:51 AM UTC-8 richard...@gmail.com 
wrote:

> Hi all,
>
> I'm now using MatrixFree to solve a multi-component problem. It contains a 
> scalar and a vector and the equations couple to each other.
>
> I plan to use two DofHandler (FESystem + FE_Q) and two MatrixFree to split 
> the variables and I'm wondering *if the cell batch ids are the same 
> between these two MatrixFree?* To be more straightforward, does 
> MatrixFree give out the same partition once the tria is given and is 
> independent of the FE?
>
> If not, does this mean I can only use one MatrixFree but with multiple 
> components? Is this better or with some extra optimization?
>
> Regards,
> Chengjiang Yin
>

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