Hi Denis,

Thank you for the pointer! This is very helpful.

The below is my understanding (and please let me know if I am wrong):

1. If we do the L2 projection over a domain of elements, then it smooths 
the stress jumps in the sense of integration. The stress would be 
continuous over the domain;
2. Or, if we do the L2 projection over single elements (or, we focus on 
elements on the boundaries between the domains in #1), there will still be 
jumps over the boundaries. This sometimes is desirable; we can then choose 
our own method to assign to the node (e.g. peak stress).

Thanks,
Shawn

On Friday, November 4, 2016 at 4:08:00 AM UTC-7, Denis Davydov wrote:
>
> Hi Lisa, 
>
>
> > On 4 Nov 2016, at 11:54, Lisa Collins <lisa.col...@gmail.com 
> <javascript:>> wrote: 
> > 
> > Thanks for the replies. 
> > The problem I am facing has two parts: 
> > 
> > 1- In deal ii, how to calculate stress at nodes based on stress at Gauss 
> points? Stress at nodal points is not continues. Is there any averaging 
> function to calculate stress at nodal points? 
>
> Well, that’s exactly my reply above ;-) You can do an L2 projection from a 
> discontinuous function (defined by values at quadrature points) to a 
> continuous FE space. This could also be understood as some averaging. 
>
> Cheers, 
> Denis. 
>
>

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