One way of using Lagrange multipliers on the boundary is to have an additional full dimensional space for them. With this you will be able to compute the boundary terms, but you will need to restrict the interior DOFs of this space by adding something like:
(epsilon * lambda, mu)_Omega, (where epsilon some very small number not to affect your theoretical accuracy) to your system (so it becomes nonsingular). This is not the most efficient way of doing it, but it is very easy as Deal.II has everything you need for this approach out of the box. Best, Eldar On Tuesday, August 8, 2017 at 1:16:28 PM UTC-4, neverwoke wrote: > > Hello all. I am very new to the community but very eager to learn. I am > wonder if there is an out-of-the-box support for using Lagrange multipliers > on a boundary, to enforce rigid body motion in Stokes flow, similar to the > work of Glowinski [1] or Hwang [2]? > > [1] Glowinski, R., Pan, T. W., Hesla, T. I., Joseph, D. D., & Periaux, J. > (2001). A fictitious domain approach to the direct numerical simulation of > incompressible viscous flow past moving rigid bodies: application to > particulate flow. *Journal of Computational Physics*, *169*(2), 363-426. > [2] Hwang, W. R., Hulsen, M. A., & Meijer, H. E. (2004). Direct > simulation of particle suspensions in sliding bi-periodic frames. *Journal > of Computational Physics*, *194*(2), 742-772. > -- 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 [email protected]. For more options, visit https://groups.google.com/d/optout.
