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.
Thanks, Andrew _______________________________________________ Powered by www.kitware.com Visit other Kitware open-source projects at http://www.kitware.com/opensource/opensource.html Please keep messages on-topic and check the VTK FAQ at: http://www.vtk.org/Wiki/VTK_FAQ Search the list archives at: http://markmail.org/search/?q=vtkusers Follow this link to subscribe/unsubscribe: http://public.kitware.com/mailman/listinfo/vtkusers |
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. 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 [1]: https://gitlab.kitware.com/dcthomp/vtk/commits/lagrange-progess [2]: https://gitlab.kitware.com/tjcorona/vtk/commits/lagrange-elements _______________________________________________ Powered by www.kitware.com Visit other Kitware open-source projects at http://www.kitware.com/opensource/opensource.html Please keep messages on-topic and check the VTK FAQ at: http://www.vtk.org/Wiki/VTK_FAQ Search the list archives at: http://markmail.org/search/?q=vtkusers Follow this link to subscribe/unsubscribe: http://public.kitware.com/mailman/listinfo/vtkusers |
On Thu, Apr 13, 2017 at 3:29 PM, David Thompson <[hidden email]> wrote: Hi Andrew, 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. Thanks for the help. [1]: https://urldefense.proofpoint. _______________________________________________ Powered by www.kitware.com Visit other Kitware open-source projects at http://www.kitware.com/opensource/opensource.html Please keep messages on-topic and check the VTK FAQ at: http://www.vtk.org/Wiki/VTK_FAQ Search the list archives at: http://markmail.org/search/?q=vtkusers Follow this link to subscribe/unsubscribe: http://public.kitware.com/mailman/listinfo/vtkusers |
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