[deal.II] Re: Question on Vectortools::integrate_difference.

2016-11-11 Thread Jean-Paul Pelteret
Dear Jaekwang, The role of the additional quadrature formula is to ensure that your function is not evaluated at "superconvergent" points, which would lead to an underestimation in the error associated with the finite element solution. I have little knowledge of functional analysis, so apart fro

[deal.II] Question on Vectortools::integrate_difference.

2016-11-11 Thread Daniel Arndt
Jarkwang, Quadrature points and support points only coincide in special cases. In particular, this not true for Gauss quadrature of order fe_degree+1 and FE_Q elements. When computing errors, you often want to avoid superconvergence effects and hence use a quadrature rule different from the on

[deal.II] Question on Vectortools::integrate_difference.

2016-11-11 Thread Jaekwang Kim
Hi, all. I have a question on how 'VectorTools::integrate_difference' works const MappingQ mapping (degree); VectorTools::integrate_difference (mapping, dof_handler,solution,Solution(), difference_per_cell,QGauss(degree+2),VectorTools::L2_norm