> On 12 Apr 2017, at 14:54, Sean McGovern <smcg...@gmail.com> wrote:
> 
> 
>> Would the general point be that if one can go to higher resolutions with 
>> distributed parallelism that the enhanced accuracy of the enrichment 
>> functions can be compensated for?
> 
> Sorry, i did not get what you mean.
> 
> Regards,
> Denis.
> 
> 
> Hi Denis, 
> Thanks for your prompt answers.
> I was shooting for a very generic question about the tradeoffs of a 
> high-resolution parallel approach, vs the more subtle XFEM on a coarser grid. 
> So, for example,  consider an immiscible two-phase flow where the boundary 
> between the two fluids is defined by a level set function (like in the code 
> gallery's two_phase_flow). One way to represent the interface accurately 
> would be to use very high-resolution so that the location of the material 
> discontinuity, and its effect on, say, pressure, is highly localized.  
> Another might be to essentially smooth out the pressure over the intersected 
> cells (with material discontinuity) through the use of enrichment functions 
> (if I understand XFEM well).
> 
> I wonder if this is a reasonable way to view the tradeoffs around interface 
> representation (handling internal discontinuities)?
> Since from an implementation point of view, I currently see a choice point 
> between pursuing XFEM(with hp::DoFHandler) or high-res (p::d::tria). 

Now I see your point, thanks for explanation. But I don’t know an answer ;-)

Cheers,
Denis.

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