Hi Martin,

Thank you. This is certainly looking useful.  Do we have any example usage 
of this function? For example, how do we re-compute the mesh based on the 
return value from this aspect_ratio function or something?

Krishna

On Wednesday, January 15, 2020 at 5:31:34 PM UTC, Martin Kronbichler wrote:
>
> Dear Krishna,
>
> We have recently added one such function, namely 
> GridTools::compute_aspect_ratio_of_cells(),
>
>
> https://dealii.org/developer/doxygen/deal.II/namespaceGridTools.html#a2a9d8801d952ea8afa9ec1573229a329
>
> Best,
> Martin
> On 15.01.20 18:26, Krishnakumar Gopalakrishnan wrote:
>
> In the results/extension section of Step-6 as well in Step-49, there is a 
> great deal of discussion about obtaining good meshes are for a problem, 
> with the caveat that this is a highly specialized topic. Step-49 is full of 
> warnings about things that can go wrong when applying certain 
> transformations, and it seems to implant doubts in my mind that my meshes 
> are never going to be correct :)
>
>
> Given this, in the spirit of the Kelly Indicator for solution errors in a 
> cell, is there a similar single-metric for the quality/goodness of each 
> cell in a mesh? Maybe there is something based on the smallest internal 
> angle (to prevent slivers, for Jacobian of the mapping to be invertible, to 
> prevent inverted cells etc).
>
>
> After all, error estimation is a complicated topic. nevertheless the Kelly 
> Indicator seems to do a reasonable job for quite a few equations. If 
> currently not implemented in Deal.II, is there any journal article that 
> discusses research in this direction?
>
>
>
> Krishna
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