On 04/21/2017 08:21 AM, Lukas Korous wrote:


    If you work in real space, then in 2d there are 2x3 basis functions
    for the linear space (two vector components, each of which has the
    form a+bx+cy), of which you can eliminate one because of the
    divergence constraint, if I count correctly.

    If you map from the reference cell, but require that div u = 0
    pointwise in real space, then things may be more complicated.


Here I have no preference, whichever is an easier way to satisfy div u =
0 pointwise.

I suspect that that's going to be difficult to do for arbitrary cell shapes if you define shape functions on the reference cell and map them.

Best
 W.

--
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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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