Matrix-free multigrid with anisotropic mesh refinement based on step-75?

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subramanya gautam

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Dec 3, 2024, 12:12:31 AM12/3/24
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Hi,
I am trying to solve a laser-heating type problem over a rectangular plate. So that the x-y dimensions are much larger than the z dimension. At present I am using a modification of step-37 to solve it, but I don't need too much discretization in the z-direction. One of my thoughts was to use the anisotropic refinement (cut_xy) to only refine the elements in one direction and then solve it using multi-grid. However - the local-smoothing multigrid -does not allow this as it needs to limit_level_differences at the vertices.

In  the step-75 example however, I don't see the limit_level_difference_at_vertices flag explicitly passed to the triangulation. Does that mean I could construct a set of triangulations using anisotropic refinement and use a multigrid method to solve it?

Thanks,
Subramanya.

Daniel Arndt

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Dec 3, 2024, 11:31:11 AM12/3/24
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Subramanya,

the anisotropic refinement support is pretty limited and won't work
with parallel::distributed::Triangulation. I would be surprised if it
works with the geometric multigrid framework.

Best,
Daniel
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Subramanya G

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Dec 3, 2024, 11:35:43 AM12/3/24
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Thanks! I tried to anisotropically refine and coarsen a parallel::distributed triangulation and saw that it didn't work. 



Subramanya.  
सुब्रह्मण्य .


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