On 5/3/19 4:14 PM, Doug wrote:
> Ok, so my initial understanding of deal.II was accurate. It all makes sense
> now. Although FE_DGP is spanning {1,x,y} in reference space, it is not
> spanning those bases in physical space. Instead, it is spanning some
> combination of {1,x,y,xy} with 3 degrees of freedom, that only spans
> {1,x,y} in physical space if the mapping is affine. As a result, loss of
> convergence order entails since it cannot properly represent linear
> functions in physical space.
>
> On the other hand, a bilinear basis on the reference space can indeed
> represent physical linear functions if a bilinear mapping is used! Hence
> why FE_DGQXXXX work.
Yes. You could also use the FE_DGPNonparametric class in that case.
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
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