Hi. 

1. Is there a way to deal make a correct sparsity pattern accounting for 
hanging nodes, FENothing elements and coupling of faces that have ghost 
penalty or is this really a feature that isn't implemented in deal.ii ? 


If you do not care so much about performance at this stage, you can just 
avoid passing the face_has_flux_coupling lambda to 
make_flux_sparsity_pattern (the version that takes cell and face 
couplings). You will then get a flux coupling over all faces. This gives a 
sparsity pattern with more entries than you need, but you will not get an 
exception. 

The alternative is to choose the face_has_flux_coupling lambda more 
carefully. The problem is that you are trying to assign values to entries 
in the matrix that does not exist in the sparsity pattern. 


2. Should I assemble the matrix without taking care of the constraints and 
apply them afterwards ? 


No, see 1. 


3. Why do the sparsity patterns differ from one call to another ? 


The implementation of the two functions are different. The simpler function 
has a bug in it. There is an open issue for this: 

https://github.com/dealii/dealii/issues/12037 

but since there is a workaround, it has not been prioritized. 


Best, 
Simon 

On Thursday, May 2, 2024 at 12:40:00 AM UTC+2 matthias...@epfl.ch wrote:

> Dear all,
>
> *Background :* I am currently trying to implement a diffuse domain 
> formulation to solve the poisson equation whilst penalizing the jumps in 
> gradient in very similar way to what step-85 showcases. The nuance relative 
> to the mentioned tutorial stems the need for AMR close to the boundary. 
> Having worked through this problem without neglecting the outside of the 
> domain (contrary to what is shown in step-85 with the use of FENothing in 
> the FECollection object for all the elements for which the level set is 
> positive on all vertices), I found myself wanting to implement this feature 
> again. 
>
> *Issue :* Taking good care to assigne FENothing only to the cells that 
> extend beyond an arbitrary threshold to avoid computing the face values on 
> a cell who's neighbor is neglected, I got the following error when 
> computing the flux sparsity pattern. Note that hanging nodes are taken into 
> account. Note that this issue arise only if cells are flagged for ghost 
> penalty and if elements (outside the domain of interest) are attributed the 
> FENothing finite element. 
>
>
>
>     DynamicSparsityPattern dsp(dof_handler.n_dofs(), dof_handler.n_dofs());
>     
>     const unsigned int           n_components = 
> fe_collection.n_components();
>     Table<2, DoFTools::Coupling> cell_coupling(n_components, n_components);
>     Table<2, DoFTools::Coupling> face_coupling(n_components, n_components);
>     cell_coupling[0][0] = DoFTools::always;
>     face_coupling[0][0] = DoFTools::always;
>
>
>     const bool                      keep_constrained_dofs = true;
>     constraints.clear();
>     DoFTools::make_hanging_node_constraints(dof_handler, constraints);
>     constraints.close();
>     DoFTools::make_flux_sparsity_pattern(dof_handler,
>                                           dsp,
>                                           constraints,
>                                           keep_constrained_dofs,
>                                           cell_coupling,
>                                           face_coupling,
>                                           numbers::invalid_subdomain_id);
>
>
> -------------------------------------------------------------
> The violated condition was: 
>     matrix_values->column() == column
> Additional information: 
>     You are trying to access the matrix entry with index <14,142>, but
>     this entry does not exist in the sparsity pattern of this matrix.
> -------------------------------------------------------------
>
> Having tried the following sister make_flux_sparsity_pattern() function 
> call without explicitly passing the cell and face couplings, I get this 
> error:
> -------------------------------------------------------------
> An error occurred in line <4467> of file 
> </home/mh2294/codes/dealii-9.5.2/include/deal.II/lac/affine_constraints.templates.h>
>  
> in function
>     void 
> dealii::AffineConstraints<number>::add_entries_local_to_global(const 
> std::vector<unsigned int>&, const dealii::AffineConstraints<number>&, const 
> std::vector<unsigned int>&, dealii::SparsityPatternBase&, bool, const 
> dealii::Table<2, bool>&) const [with number = double]
> The violated condition was: 
>     false
> Additional information: 
>     You are trying to use functionality in deal.II that is currently not
>     implemented. In many cases, this indicates that there simply didn't
>     appear much of a need for it, or that the author of the original code
>     did not have the time to implement a particular case. If you hit this
>     exception, it is therefore worth the time to look into the code to
>     find out whether you may be able to implement the missing
>     functionality. If you do, please consider providing a patch to the
>     deal.II development sources (see the deal.II website on how to
>     contribute).
> ------------------------------------------------------------
>
> Implying that the both sparsity patterns aren't the same although 
> specifying should result in a full coupling in the case of scalar valued 
> problems.
> cell_coupling[0][0] = DoFTools::always;
> face_coupling[0][0] = DoFTools::always;
>
> *Questions :*
> 1. Is there a way to deal make a correct sparsity pattern accounting for 
> hanging nodes, FENothing elements and coupling of faces that have ghost 
> penalty or is this really a feature that isn't implemented in deal.ii ?
> 2. Should I assemble the matrix without taking care of the constraints and 
> apply them afterwards ?
> 3. Why do the sparsity patterns differ from one call to another ?
>
> I have attached the slightly modified step-85 code I am talking about. 
>
> I hope this question isn't redundant,
>
> Thank you for your help,
>
> Matthias
>
>
>

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