I didn’t mean to sound too harsh, sorry for that. I could spot the mistake 
right away because it is a mistake I do all the time. 

No embarrassment is needed, and no question is ever a stupid question. Don’t 
worry! I’ve been in your shoes so many times I cannot count them anymore… 

:) 

Luca.

> On 11 Jan 2023, at 14:33, Abbas <abbas.ballou...@gmail.com> wrote:
> 
> Well, this is embarrassing.
> Thank you very much   
> 
> On Wednesday, January 11, 2023 at 3:11:11 PM UTC+2 luca....@gmail.com wrote:
> You have an issue in your boundary worker. 
> 
> 
> The boundary worker is called passing a cell, a face_no, scratch, and copy. 
> Yet, in your code, you loop again on the faces of the cell: 
> 
> 
> for (const auto &face : cell->face_iterators()) 
> { 
> if ( ((face->boundary_id() == 0) || (face->boundary_id() == 1))) 
> 
> 
> this should become 
> 
> if((cell->face(face_no)->boundary_id() == 0) || 
> (cell->face(face_no)->boundary_id() == 1) { 
> 
> … 
> 
> } 
> 
> otherwise, you are going to assemble the face terms twice on the four 
> corners. 
> 
> Best, 
> Luca. 
> 
> > On 11 Jan 2023, at 12:05, Abbas <abbas.b...@gmail.com> wrote: 
> > 
> > Hello, 
> > 
> > Setting: 
> > 1) Unit square domain, 
> > 2) Simple scalar Laplacian with no source term. 
> > 3) 0 and 1 Dirichlet on opposite ends of the square and zero Neumann on the 
> > other two edges. 
> > 
> > I am trying to solve the above problem using SIPG by adopting step 74. The 
> > expected solution should be perfectly linear with a constant gradient as 
> > the problem reduces to a pseudo 1-D problem. 
> > 
> > That is the case if I use CG, but with DG I do not get a perfectly linear 
> > solution and that is causing me problems. 
> > 
> > I have attached below a single image file that includes: 
> > 1) The solution. 
> > 2) The solution gradient with weird behaviour at the corners 
> > 3) Line plot of the solution across the lower wall. 
> > 
> > and the code I am using which is based on step 74. 
> > 
> > Things I tried/looked into: 
> > - I tried to adapt the code to CG and I get the expected results. I can't 
> > straight up impose BCs strongly with DG here. 
> > - I am sure this isn't a Paraview issue because I tried integrating across 
> > the boundary within deal and I am getting mesh dependent results. 
> > - The weak form is correct. The Neuman BC shows up as a boundary integral 
> > in the rhs which has no contribution. (Neumann zero at these walls). 
> > - I looked into the distributed LDG method within the dealii gallary and 
> > adopted it to these BCs and I didn't have this problem. 
> > 
> > The only thing I haven't tried yet is to do a simple problem by hand and 
> > compare the dealii and my outputs. Before doing that, any ideas on how I 
> > can debug this? Is this something associated with imposing BCs weakly with 
> > SIPG and will happen no matter what? 
> > 
> > best, 
> > Abbas 
> > 
> > 
> > 
> > -- 
> > The deal.II project is located at http://www.dealii.org/ 
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> > https://groups.google.com/d/forum/dealii?hl=en 
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> >  
> > <Screenshot from 2023-01-11 12-39-11.png><SIPG.cc> 
> 
> 
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