I'm probably the stupid one here, but it seems to me that DOF functionals couldn't be local in this case. (As it showed up currently with enriched spaces, it is not necessary to have them implemented but is very desirable.) Any ideas?
Jan On Mon, 20 Apr 2015 16:00:52 +0000 Anders Logg <[email protected]> wrote: > Yes, it might actually be that simple: The elements would be standard > P1 elements with the only difference that the value of the basis > functions are always one (each triangle has 3 basis function and each > is = 1) and all derivatives are zero. > > Might be possible to "hack" by modifying > _create_fiat_element(ufl_element) in ffc/fiatinterface.py. > > -- > Anders > > > mån 20 apr. 2015 kl 17:44 skrev Martin Sandve Alnæs > <[email protected]>: > > > Doesn't sound that hard. Basically dofmaps like CG1 elements with > > basis functions replaced by 1.0 on the entire support? > > On 20 April 2015 at 15:37, Joakim Bø <[email protected]> wrote: > > > >> Thanks for answering! > >> > >> > >> Anders got it right, discontinous and overlapping basis functions > >> with the same global support as P1 tent functions. Sorry to hear > >> that it would be hard to implement, but it came as no surprise... > >> > >> > >> Thanks anyway! > >> > >> > >> Joakim > >> > >> > >> -- > >> Joakim Bø > >> Prosjektleder ENT3R UiO > >> Tlf.: 915 24 326 > >> > >> http://www.ENT3R.no/OSLO > >> ------------------------------ > >> *From:* Anders Logg <[email protected]> > >> *Sent:* 20 April 2015 13:46 > >> *To:* Andrew McRae; Jan Blechta > >> *Cc:* Joakim Bø; [email protected] > >> *Subject:* Re: [FEniCS] Implement a new finite element type for > >> testing purposes? > >> > >> 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 > >>>> > >>> > >>> > >> _______________________________________________ > >> fenics mailing list > >> [email protected] > >> http://fenicsproject.org/mailman/listinfo/fenics > >> > >> _______________________________________________ fenics mailing list [email protected] http://fenicsproject.org/mailman/listinfo/fenics
