Dear all,
If I don't have the exact solution, but I want to compute the L2 form of
u_{h}-u_{finest} (i.e. see u_{finest} as the exact solution, and u_{finest}
is the numerical solution with the finest mesh grid among the series we
want to test, for example, the width of the unit meshgrid is h = 1/2^k,
k=6,7,8,9,10. So the u_{finest}=u_{h=1/2^10}). Does deal.ii have a function
like
template<int dim, class InVector , class OutVector , int spacedim>
void VectorTools::integrate_difference ( const Mapping
<https://www.dealii.org/developer/doxygen/deal.II/classMapping.html>< dim,
spacedim > & mapping,
const DoFHandler
<https://www.dealii.org/developer/doxygen/deal.II/classDoFHandler.html>< dim
, spacedim > & dof,
const InVector & fe_function,
const Function
<https://www.dealii.org/developer/doxygen/deal.II/classFunction.html><
spacedim, double > & exact_solution,
OutVector & difference,
const Quadrature
<https://www.dealii.org/developer/doxygen/deal.II/classQuadrature.html><
dim > & q,
const NormType
<https://www.dealii.org/developer/doxygen/deal.II/group__numerics.html#ga69967cb7a148a7169963126249213db1>
& norm,
const Function
<https://www.dealii.org/developer/doxygen/deal.II/classFunction.html><
spacedim, double > * weight = nullptr,
const double exponent = 2.
)
and doesn't use
const Function
<https://www.dealii.org/developer/doxygen/deal.II/classFunction.html><
spacedim, double > & exact_solution,
but use
const InVector & fe_function,
at this location of input parameters. Thanks in advance!
Best,
Chucui
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