Hi Edith,

On Monday, November 28, 2016 at 7:19:56 PM UTC+1, Edith Sotelo wrote:
>
> Hi all,
> I have more questions regarding Fe_enriched & PUM 
>
> 1) Are enriched functions shifted, so that the enriched part evaluates to 
> zero at the mesh  nodes? 
>

no, nothing is shifted. Enrichment functions are taken as-is. 

If you refer to combination of enriched and non-enriched elements, see 
"Using enriched and non-enriched FEs together" in 
documentation 
https://www.dealii.org/developer/doxygen/deal.II/classFE__Enriched.html
 

>
> 2) About strong boundary conditions:  
>
I am using the function interpolate_boundary_values,I think this function 
> is also interpolating values for the enriched dofs, but they need to be set 
> to zero instead to get the correct BC . 
> How can I manually choose the enriched dofs at the boundary and set them 
> to zero?
>

interpolate_boundary_values() will not work because shape functions 
corresponding to enriched DoFs generally won't satisfy delta Kronecker.
Even if they are by chance, you may have a scalar FE with two shape 
functions (enriched / non-enriched) at the same support point.
What you could do is L2 projection on the boundary to determine the values 
of DoFs. That amounts to inverting a mass matrix on the boundary.
That should work.


Otherwise, unless you need to enrich elements at the boundary, i would 
suggest instead mixing enriched and not-enriched elements.
Depending on your enrichment, you may severely deteriorate the condition 
number of matrices. At least in some applications it is better to 
enriched only locally (in some part of the domain).

Finally, in order to know whether a local DoF corresponds to enriched, you 
can query finite element for the base number of this DoF: 
 
FiniteElement< dim, spacedim 
>::system_to_base_table()[local_dof].first.first  // base element number

0 is un-enriched.

Regards,
Denis.


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