Thank you so much Sir, appreciate your help.

Regards
Shahin

On Mon, May 24, 2021 at 5:46 PM Wolfgang Bangerth <bange...@colostate.edu>
wrote:

> On 5/21/21 1:52 PM, Shahin Heydari wrote:
> > m_i = sigma (m_ij) = int(phi_i dx)
>
> Right. You compute the integral as a sum over the integrals on each cell.
> So
> when you do
>
>    for (cell = ...)
>      for (i=...)
>        {
>          lump = 0;
>          for (q=...)
>            lump += ...
>
>          lump_cell_matrix(i,i) = lump;
>        }
>
> then this is correct if you then add lump_cell_matrix(i,i) to your global
> matrix.
>
> You mention in your original question that you are unsure about what to do
> with Q2 (or higher) elements. This is a difficult question, but there is a
> good amount of literature on the topic. Just search for "mass lumping
> higher
> order elements".
>
> Best
>   W.
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 bange...@colostate.edu
>                             www: http://www.math.colostate.edu/~bangerth/
>
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