Hello,
The VectorTools::interpolate_boundary_values function works for
interpolating fe_Q<dim> functions but not fe_DGQ<dim> .
Was this meant to be the case?
I attached a minimal code that illustrates this.
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#include <deal.II/grid/tria.h>
#include <deal.II/grid/grid_generator.h>
#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_dgq.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/dofs/dof_tools.h>
#include <deal.II/numerics/data_out.h>
#include <deal.II/base/function.h>
#include <deal.II/numerics/vector_tools.h>
#include <fstream>
using namespace dealii;
int main()
{
// create an feq obkect and interpolate a value of 1 at boundary 0
{
Triangulation<2> tria;
GridGenerator::hyper_cube(tria, 0, 1, true);
tria.refine_global(4);
FE_Q<2> fe(1);
DoFHandler<2> dof(tria);
Vector<double> solution;
dof.distribute_dofs(fe);
solution.reinit(dof.n_dofs());
std::map<types::global_dof_index, double> boundary_values;
VectorTools::interpolate_boundary_values(dof,
0,
Functions::ConstantFunction<2>(1),
boundary_values);
for (auto &boundary_value : boundary_values)
solution(boundary_value.first) = boundary_value.second;
DataOut<2> data_out;
data_out.attach_dof_handler(dof);
data_out.add_data_vector(solution, "solution");
data_out.build_patches();
const std::string filename = "solution-feq.vtu";
std::ofstream output(filename);
data_out.write_vtu(output);
}
// Same as above but
// we create an feGQq obkect and interpolate
{
Triangulation<2> tria;
GridGenerator::hyper_cube(tria, 0, 1, true);
tria.refine_global(4);
FE_DGQ<2> fe(1); // only difference between this and the above code
DoFHandler<2> dof(tria);
Vector<double> solution;
dof.distribute_dofs(fe);
solution.reinit(dof.n_dofs());
std::map<types::global_dof_index, double> boundary_values;
VectorTools::interpolate_boundary_values(dof,
0,
Functions::ConstantFunction<2>(1),
boundary_values);
for (auto &boundary_value : boundary_values)
solution(boundary_value.first) = boundary_value.second;
DataOut<2> data_out;
data_out.attach_dof_handler(dof);
data_out.add_data_vector(solution, "solution");
data_out.build_patches();
const std::string filename = "solution-fedgq.vtu";
std::ofstream output(filename);
data_out.write_vtu(output);
}
}
