Dear Wolfgang, thanks for your detailed explanation and also for the proposed solution. I will think about this possibility.
Best, Dustin Am Montag, 27. August 2018 22:41:09 UTC+2 schrieb Wolfgang Bangerth: > > On 08/27/2018 02:06 AM, Dustin Kumor wrote: > > > > I like to create a three dimensional Lagrange finite element that uses > > ansatz functions of the following form: N_i (x,y,z) = q_i(x,y) p_i (z), > > where q_i (x,y) are the basis functions of a two dimensional Lagrange > > finite element of arbitrary degree, basically FE_Q<2> (degree) and p_i > > are the basis functions of a linear Lagrange finite element FE<1> (1). > > This does not work in deal.II. One of the fundamental assumptions made > many many years ago and very deep down in the code is that the number of > degrees of freedom per vertex/line/face is the same for all > vertices/lines/faces of a cell. But, if you wanted an element that has, > for example, linear shape functions in x-direction and quadratic shape > functions in y-directions, you would have to use one degree of freedom > for the two horizontal lines in 2d, but none for the vertical lines. > > The only way you can achieve what you want to do is to define the > element as discontinuous because, then, there are no degrees of freedom > on vertices/lines/faces. Of course, if you want the space to be > continuous, you will have to enforce that in some other way. > > Best > W. > > -- > ------------------------------------------------------------------------ > Wolfgang Bangerth email: bang...@colostate.edu > <javascript:> > www: http://www.math.colostate.edu/~bangerth/ > -- 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. For more options, visit https://groups.google.com/d/optout.
