Dear Jimmy, Thank you! Your answer solved my question. I had the wrong impression that higher-order polynomials will give more base functions. Shape functions just play the role of interpolation and construct the solution space. It could be a high-order polynomial but only one base function per node. Thank you very much! Best regards
On Sun, Aug 2, 2020 at 11:50 PM Jimmy Ho <jimmyho0...@gmail.com> wrote: > Hi Yuesu, > > To be more precise: Yes, you do have two sets of basis functions in each > element. A quadratic one for interpolating the vector components, and a > linear one for interpolating the scalar. But when calculating DOFs > associated with the vector components, you should only count the basis > functions that interpolate those components, which is one basis function > per node. > > Hope this helps! > > Best, > Jimmy > > -- > 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/feed2cda-81f9-4e22-8089-beaf9b2ae2b0o%40googlegroups.com > . > -- Yuesu Jin, Ph.D student, University of Houston, College of Natural Sciences and Mathematics, Department of Earth and Atmospheric Sciences, Houston, Texas 77204-5008 346-404-2062 -- 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/CA%2B25a%3D%2BScgGRdu9B7-pV0kkY%3D%2BcOHbmQdX_U4-aBBkwu3Tv%3Dxg%40mail.gmail.com.