> <benjamin.kir...@nasa.gov> wrote:
>> is that these tend to be more "industrial-type" applications, where
>> higher-order elements are often not used for various reasons (non-smooth
>> solutions, sharp complex geometry, etc...)
> 
> In fact, hp-fem performs the best exactly with solutions that are both
> non-smooth and sharp somewhere (it uses a low polynomial order there)
> and very smooth somewhere else in the domain (it uses a high
> polynomial order there).
> 
> But as I said, it's tough to get everything into a production ready
> state, but it's exciting when we get there finally both in 2D and in
> 3D.

my myopic view is tainted because my applications are nearly hyperbolic and
everything of interest is downstream of a shockwave.  so even for flows over
blunt bodies where the shock layer is smooth, at some point upstream
pollution becomes dominant.  it is of course theoretically possible to use a
low order element and allow h-adaptivity to resolve the shock, but you need
ridiculously small elements to mask the pollution.

of course, I'd love a demonstrated counter example...

-Ben


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