dolfin team mailing list archive
-
dolfin team
-
Mailing list archive
-
Message #08952
Re: Visualizing basis functions
On Sun, Aug 10, 2008 at 03:54:25PM +0200, Evan Lezar wrote:
> Hi there
>
> After some time away I have once again been able to try and get do grips with
> dolfin. By a bit of a round about way I was able to solve a magnetic-field
> based eigenvalue problem giving me the cutoff wavenumbers for a square
> waveguide structure - it is still, however, a work in progress.
>
> One question I do have is regarding the visualization of the results I have
> obtained. To this end I have two questions - the first is simply the
> visualization of the basis functions (vector Nedelec) themselves (see the
> attached image taken from Finite Element Method for Electromagnetics by Volakis
> et al) - how could this be achieved in dolfin? Put another way - how can I set
> the coefficient for a single basis function equal to 1 and zero the rest and
> display the result?
Marie Rognes has code for doing just this (plotbases.py in the
bdm-2007 repository). I don't want to post it myself, but I imagine
she would be willing to post the code. Marie?
> Then the second question builds on this. If I have the coefficients associated
> with all the basis functions in a system, how would I set up a function to
> calculate the weighted sum of the vector basis functions anywhere in the mesh?
>
> I am using pydolfin.
>
> If anything is unclear, please contact me so that I can clarify matters.
If you have a Function u, you can just call u.eval() to evaluate it at
any point x. This will locate the cell to which x belongs and compute
the linear combination. Take a look at the demo in demo/function/python/.
--
Anders
Attachment:
signature.asc
Description: Digital signature
Follow ups
References