Hello sir,

One thing I'm confused is that why we use "make_hanging_node_constraints" 
and "interpolate_boundary_values" for a new constraints in solve_with_gmg 
in step-75, instead of the boundary_constraints as done in previous MG 
tutorials.

在2022年10月4日星期二 UTC+8 00:11:49<mafe...@gmail.com> 写道:

> Hi!
>
> The "Possibilities for extensions" section of step-75 gives you a few 
> hints on how to achieve p-multigrid preconditioning with matrix-based 
> methods:
>
> https://www.dealii.org/current/doxygen/deal.II/step_75.html#Solvewithmatrixbasedmethods
>
> If you look for an example implementation, the "hpbox" tool demonstrates 
> both matrix-based and matrix-free implementations of the p-multigrid method.
> https://zenodo.org/record/6425947
> https://github.com/marcfehling/hpbox/
>
> Best,
> Marc
>
> On Monday, October 3, 2022 at 3:39:51 AM UTC-6 yy.wayne wrote:
>
>> Hello,
>>
>> I plan to test the converge of polynomial multigrid preconditioning on a 
>> problem, with matrix-based framework. However, step-75 is a bit confusing 
>> since I cannot clearly separate classses contributed by matrix-free and 
>> p-multigrid. 
>>
>> Specifically, in step-16 (with MeshWorker) and step-56 (assemble 
>> cell_matrix by hand) there are assemble_system() and assemble_multigrid(), 
>> while in step-75 there are solve_system() which calls solve_with_gmg and 
>> mg_solve. It is due to matrix-free or p-multigrid? By the way, is there a 
>> code gallery for matrix-based polynomial-multigrid ? 
>>
>> Thanks
>>
>

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