If I understand correctly, you want discontinuous and overlapping basis functions with the same global support as the P1 tent functions. Unless you find a clever trick for how to treat this (perhaps via some linear algebra using P0 elements in combination with some suitable constraints), this looks difficult to implement in FEniCS. We assume each element is defined locally on triangles/tetrahedra.
-- Anders mån 20 apr. 2015 kl 13:14 skrev Andrew McRae <[email protected]>: > I interpret it as a DG0, but where nodes are associated with vertices. > Related to mass-lumping, I guess. > > On 20 April 2015 at 12:07, Jan Blechta <[email protected]> wrote: > >> On Fri, 17 Apr 2015 10:21:33 +0000 >> Joakim Bø <[email protected]> wrote: >> >> > Hi! >> > >> > >> > I am in need of a new type of basis function for testing purposes. It >> > is much similar to the basis functions of the Taylor-Hood P1 element, >> > the difference is that the functions are piecewise constant equal to >> > 1 in this "local domain" (similar for 1D and 3D): >> > >> > >> > [http://www.fsz.bme.hu/~szirmay/radiosit/rad10.gif] >> > >> > >> > and zero in the rest of the domain. In general, phi_i = 1 for "local >> > domain of dof i", 0 else. >> >> If I understand your explanation correctly (it does not seem to match >> with the figure!), it is Discontinuous Lagrange element of degree 0, >> which is implemented. >> >> Jan >> >> > >> > >> > Would it be possible to implement this without too much work? Or >> > would it require a lot of effort? >> > >> > >> > Thanks! >> > >> > Joakim >> > >> > >> > -- >> > Joakim Bø >> > Prosjektleder ENT3R UiO >> > Tlf.: 915 24 326 >> > >> > http://www.ENT3R.no/OSLO >> >> _______________________________________________ >> fenics mailing list >> [email protected] >> http://fenicsproject.org/mailman/listinfo/fenics >> > >
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