Dear everyone, I am currently adapting step-34 for a BEM project in my university. I am having some issues because I believe that the proposed analytical solution for the 3D problem is wrong.
The problem has the following Neumann boundary conditions: grad(phi)*n = v_inf*n and the following analytical solution on the boundary: phi = 1/2*(x+y+z) The issue with this is that if we compute the gradient of this function we get: grad(phi)*n = 1/2*(1,1,1)*(x,y,z) = 1/2*(x+y+z) BUT since the v_inf = (1,1,1) then v_inf*n = (x+y+z) != 1/2*(x+y+z) (we are using n=(x,y,z) since the domain is a sphere of radius 1) So there is this 1/2 that i disagree with. Nonetheless, the simulations perfectly converge to the proposed exact solution (the one with the 1/2) and I don't understand why since i believe its wrong. Maybe some of you have already encountered this issue and you found an answere. Thank you very much, any help is appreciated!! Giovanni Maria Bonvini -- 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 visit https://groups.google.com/d/msgid/dealii/2c963891-aea4-4caa-b7a1-4f8b50898b49n%40googlegroups.com.
