Hi Wolfgang,

I tried a quadratic element, and was able to reduce the number of degrees 
of freedom for the same level of convergence by another order of magnitude. 
Thanks!

Best,
Alex

On Friday, June 11, 2021 at 3:34:08 p.m. UTC+2 Wolfgang Bangerth wrote:

> On 6/11/21 4:04 AM, Alex Cumberworth wrote:
> > 
> > To answer the question I posed, I did some more tests and found that 
> refining 
> > in the width and height of the beam has no effect on the convergence of 
> the 
> > shear force. I went down to just a single division in z and 2 in y (in 
> other 
> > words there are just two faces when looking down the end of the beam), 
> and 
> > could get the same level of agreement with beam theory with one order of 
> > magnitude fewer degrees of freedom. I guess I am still mildly surprised 
> how 
> > refined I had to made the x direction, but perhaps if I also used 
> adaptive 
> > refinement things would further improve.
>
> You might also want to try quadratic or cubic elements. For smooth 
> solutions, 
> that often does wonders!
>
> Best
> W>
>
>
> -- 
> ------------------------------------------------------------------------
> Wolfgang Bangerth email: bang...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
>

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