[vtkusers] Higher order element visualization

[Slaughter, Andrew E]

On Thu, Apr 13, 2017 at 3:29 PM, David Thompson <david.thompson at kitware.com>
wrote:

> Hi Andrew,
>
> > I am working on a finite element visualization of simulations that uses
> arbitrary order monomial shape functions. Currently, we are visualizing the
> results with a single value on a cell, but we would like to write out the
> monomial coefficients and do a proper projection of the solution. Is this
> something that is possible with VTK? If it is, we are happy to write some
> custom code, but would like a nudge in the correct direction.
>
> Monomial shape functions are not numerically stable.

We are not actually use them to solve, but using them to compute auxiliary
fields explicitly.

> There is some work[1,2] to extend VTK to handle arbitrary order Lagrange
> shape functions (also not numerically stable). Ideally, Legendre or
> spline-basis interpolation would be used and other bases would be projected
> to it.
>
>         David
>
Thanks for the help.

> [1]: https://urldefense.proofpoint.com/v2/url?u=https-3A__gitlab.
> kitware.com_dcthomp_vtk_commits_lagrange-2Dprogess&d=DwIFAg&c=
> 54IZrppPQZKX9mLzcGdPfFD1hxrcB__aEkJFOKJFd00&r=h7heP8xwI1i_
> HikChvhFbEBurKirgfOCdwgBxB9lM8c&m=ki0L7eRrMB5mjs7yj2NZg3lkFJB8jB
> HLaKYSWg7ih7Y&s=5ll6uecAmULVdNeqEQ16GmThoMD2bc6lEUW5RNpS4iI&e=
> [2]: https://urldefense.proofpoint.com/v2/url?u=https-3A__gitlab.
> kitware.com_tjcorona_vtk_commits_lagrange-2Delements&d=DwIFAg&c=
> 54IZrppPQZKX9mLzcGdPfFD1hxrcB__aEkJFOKJFd00&r=h7heP8xwI1i_
> HikChvhFbEBurKirgfOCdwgBxB9lM8c&m=ki0L7eRrMB5mjs7yj2NZg3lkFJB8jB
> HLaKYSWg7ih7Y&s=YHaO6S_WmgR7ieLcfMNlxGXgmKaZ2U1XRAiZWL2d9mg&e=
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://public.kitware.com/pipermail/vtkusers/attachments/20170413/3d604d8e/attachment.html>