Re: [deal.II] Non-tensor polynomials with bilinear elements

2019-05-03 Thread Wolfgang Bangerth
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

Re: [deal.II] Non-tensor polynomials with bilinear elements

2019-05-03 Thread Doug
Prof. Bangerth, 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

Re: [deal.II] Non-tensor polynomials with bilinear elements

2019-05-03 Thread Wolfgang Bangerth
On 5/2/19 7:26 PM, Doug wrote: > > Based on this, I assume that FEValues, which takes a FiniteElement and a > Mapping, uses them to evaluate the Jacobian field instead of using a bilinear > mapping as the documentation of Mapping suggests. So FE_DGP would only be > able > to parametrize the ce

[deal.II] Non-tensor polynomials with bilinear elements

2019-05-02 Thread Doug
Hello, I am not sure if FE_DGP and FE_DGPMonomial is behaving as expected. I had recently commented on a thread about distorted meshes ( https://groups.google.com/forum/#!topic/dealii/ZSHIDbp7yfE). I am using DG to solve a linear advection problem with a manufactured solution. A 2D square with