Thank you. Do you have any recommendation for reference notes or books which explains the math behind mapping? I can see some in Mapping< dim, spacedim > Class Template Reference. Alex
On Thursday, July 9, 2020 at 7:01:34 AM UTC-6, Wolfgang Bangerth wrote: > > On 7/9/20 1:18 AM, Alex wrote: > > I am new to dealii. I have a question on step-11. For a domain with a > curved > > boundary such as step-11 with fe(1), is the boundary element still a > bilinear > > one if mapping order>1? i.e. always 4 dofs on a boundary element? Thanks > > You need to distinguish between the element and the mapping. The element's > shape functions are defined on the reference cell, and for a Q1 element > (=fe(1)), there are always 4 shape functions in 2d. > > The *mapping* on the other hand is used to describe how shape functions > are > transformed from the reference cell to the real cell. This mapping is more > complicated when you have a curved boundary than if you have a straight > boundary, but it does not affect *how many* shape functions there are. > > Best > W. > > -- > ------------------------------------------------------------------------ > Wolfgang Bangerth email: [email protected] > <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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/845980b0-a24f-4754-90f5-28293534463fo%40googlegroups.com.
