I would consider the boundary conditions part of the nonlinear iteration (in contrast to step-15, where they are strongly enforced and as such are only needed in step 0). Every step you can evaluate your nonlinear residual which contains a residual in the boundary condition and that difference needs to be applied in every step (assuming you solve for an update in each Newton step).
On Sat, Dec 3, 2022 at 10:56 AM Wolfgang Bangerth <bange...@colostate.edu> wrote: > > On 12/3/22 07: 11, Abbas wrote: > > Something like this doesn't work with DG. > > Loosely speaking, my initial approach would be to solve a system with just > the > BC terms but I am not sure. Do I have other options? In DG methods, > ZjQcmQRYFpfptBannerStart > This Message Is From an External Sender > Use caution when opening links or attachments if you do not recognize the > sender. > > ZjQcmQRYFpfptBannerEnd > > On 12/3/22 07:11, Abbas wrote: > > > > Something like this doesn't work with DG. > > Loosely speaking, my initial approach would be to solve a system with just > > the > > BC terms but I am not sure. Do I have other options? > > In DG methods, you impose boundary values weakly, using the same strategy with > which you impose continuity between cells weakly. You might want to look at > papers on DG methods: pretty much every single one will show the jump terms > corresponding to Dirichlet boundary values. > > Best > W. > > -- > ------------------------------------------------------------------------ > Wolfgang Bangerth email: bange...@colostate.edu > www: > https://urldefense.com/v3/__http://www.math.colostate.edu/*bangerth/__;fg!!PTd7Sdtyuw!Vf-IQx7HQQ5bIq8xBQu1BzCdpZiz9Q3UC6emGlg1Z50xBT-oA9UeUBtyamyADtrTV0zLEZpa0RBQ_lV6jh5B8Uo$ > > > -- > The deal.II project is located at > https://urldefense.com/v3/__http://www.dealii.org/__;!!PTd7Sdtyuw!Vf-IQx7HQQ5bIq8xBQu1BzCdpZiz9Q3UC6emGlg1Z50xBT-oA9UeUBtyamyADtrTV0zLEZpa0RBQ_lV6CDq7NmU$ > For mailing list/forum options, see > https://urldefense.com/v3/__https://groups.google.com/d/forum/dealii?hl=en__;!!PTd7Sdtyuw!Vf-IQx7HQQ5bIq8xBQu1BzCdpZiz9Q3UC6emGlg1Z50xBT-oA9UeUBtyamyADtrTV0zLEZpa0RBQ_lV6qJBbcDU$ > --- > You received this message because you are subscribed to the Google Groups > "deal.II User Group" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to dealii+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://urldefense.com/v3/__https://groups.google.com/d/msgid/dealii/c1d413d2-3c55-0523-19fd-9f399d1781da*40colostate.edu__;JQ!!PTd7Sdtyuw!Vf-IQx7HQQ5bIq8xBQu1BzCdpZiz9Q3UC6emGlg1Z50xBT-oA9UeUBtyamyADtrTV0zLEZpa0RBQ_lV6CppyxvM$ > . -- Timo Heister http://www.math.clemson.edu/~heister/ -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/CAMRj59GL%2BCqwUB-cEwvdLB%3DeQu%2BkgmROszd%3D5iP_SRUjMz2WjQ%40mail.gmail.com.
