Number * scratch_data,
const bool add_into_values_array)
{
- // TODO: implement hessians
- (void)hessians_quad;
- AssertThrow(!(integration_flag & EvaluationFlags::hessians),
- ExcNotImplemented());
-
const EvaluatorVariant variant =
EvaluatorSelector<type, (fe_degree + n_q_points_1d > 4)>::variant;
using Eval = EvaluatorTensorProduct<variant,
eval.template gradients<0, false, false>(gradients_quad,
values_dofs);
}
+ if (integration_flag & EvaluationFlags::hessians)
+ {
+ if (integration_flag & EvaluationFlags::values ||
+ integration_flag & EvaluationFlags::gradients ||
+ add_into_values_array == true)
+ eval.template hessians<0, false, true>(hessians_quad,
+ values_dofs);
+ else
+ eval.template hessians<0, false, false>(hessians_quad,
+ values_dofs);
+ }
// advance to the next component in 1D array
values_dofs += dofs_per_comp;
values_quad += n_q_points;
gradients_quad += n_q_points;
+ hessians_quad += n_q_points;
}
break;
eval.template values<1, false, false>(gradients_quad, temp1);
eval.template gradients<0, false, true>(temp1, values_dofs);
}
+ if (integration_flag & EvaluationFlags::hessians)
+ {
+ // grad xx
+ eval.template values<1, false, false>(hessians_quad, temp1);
+
+ if (integration_flag & EvaluationFlags::values ||
+ integration_flag & EvaluationFlags::gradients ||
+ add_into_values_array == true)
+ eval.template hessians<0, false, true>(temp1, values_dofs);
+ else
+ eval.template hessians<0, false, false>(temp1, values_dofs);
+
+ // grad yy
+ eval.template hessians<1, false, false>(hessians_quad +
+ n_q_points,
+ temp1);
+ eval.template values<0, false, true>(temp1, values_dofs);
+
+ // grad xy
+ eval.template gradients<1, false, false>(hessians_quad +
+ 2 * n_q_points,
+ temp1);
+ eval.template gradients<0, false, true>(temp1, values_dofs);
+ }
// advance to the next component in 1D array
values_dofs += dofs_per_comp;
values_quad += n_q_points;
gradients_quad += 2 * n_q_points;
+ hessians_quad += 3 * n_q_points;
}
break;
eval.template values<1, false, false>(temp1, temp2);
eval.template gradients<0, false, true>(temp2, values_dofs);
}
+ if (integration_flag & EvaluationFlags::hessians)
+ {
+ // grad xx
+ eval.template values<2, false, false>(hessians_quad, temp1);
+ eval.template values<1, false, false>(temp1, temp2);
+
+ if (integration_flag & EvaluationFlags::values ||
+ integration_flag & EvaluationFlags::gradients ||
+ add_into_values_array == true)
+ eval.template hessians<0, false, true>(temp2, values_dofs);
+ else
+ eval.template hessians<0, false, false>(temp2, values_dofs);
+
+ // grad yy
+ eval.template values<2, false, false>(hessians_quad +
+ n_q_points,
+ temp1);
+ eval.template hessians<1, false, false>(temp1, temp2);
+ eval.template values<0, false, true>(temp2, values_dofs);
+
+ // grad zz
+ eval.template hessians<2, false, false>(hessians_quad +
+ 2 * n_q_points,
+ temp1);
+ eval.template values<1, false, false>(temp1, temp2);
+ eval.template values<0, false, true>(temp2, values_dofs);
+
+ // grad xy
+ eval.template values<2, false, false>(hessians_quad +
+ 3 * n_q_points,
+ temp1);
+ eval.template gradients<1, false, false>(temp1, temp2);
+ eval.template gradients<0, false, true>(temp2, values_dofs);
+
+ // grad xz
+ eval.template gradients<2, false, false>(hessians_quad +
+ 4 * n_q_points,
+ temp1);
+ eval.template values<1, false, false>(temp1, temp2);
+ eval.template gradients<0, false, true>(temp2, values_dofs);
+
+ // grad yz
+ eval.template gradients<2, false, false>(hessians_quad +
+ 5 * n_q_points,
+ temp1);
+ eval.template gradients<1, false, false>(temp1, temp2);
+ eval.template values<0, false, true>(temp2, values_dofs);
+ }
// advance to the next component in 1D array
values_dofs += dofs_per_comp;
values_quad += n_q_points;
gradients_quad += 3 * n_q_points;
+ hessians_quad += 6 * n_q_points;
}
break;
Number * values_quad,
Number * gradients_quad,
Number * hessians_quad,
- Number *,
- const bool add_into_values_array)
+ Number * scratch_data,
+ const bool add_into_values_array)
{
- // TODO: implement hessians
- (void)hessians_quad;
- AssertThrow(!(integration_flag & EvaluationFlags::hessians),
- ExcNotImplemented());
-
-
AssertDimension(
shape_info.data.front().shape_gradients_collocation_eo.size(),
(fe_degree + 2) / 2 * (fe_degree + 1));
shape_info.data.front().shape_gradients_collocation_eo,
shape_info.data.front().shape_hessians_collocation_eo);
constexpr unsigned int n_q_points = Utilities::pow(fe_degree + 1, dim);
+ constexpr unsigned int hdim = (dim * (dim + 1)) / 2;
for (unsigned int c = 0; c < n_components; c++)
{
2 * n_q_points,
values_dofs);
}
+ if (integration_flag & EvaluationFlags::hessians)
+ {
+ // diagonal
+ // grad xx
+ if (integration_flag & EvaluationFlags::values ||
+ integration_flag & EvaluationFlags::gradients ||
+ add_into_values_array == true)
+ eval.template hessians<0, false, true>(hessians_quad,
+ values_dofs);
+ else
+ eval.template hessians<0, false, false>(hessians_quad,
+ values_dofs);
+ // grad yy
+ if (dim > 1)
+ eval.template hessians<1, false, true>(hessians_quad + n_q_points,
+ values_dofs);
+ // grad zz
+ if (dim > 2)
+ eval.template hessians<2, false, true>(hessians_quad +
+ 2 * n_q_points,
+ values_dofs);
+ // off-diagonal
+ if (dim == 2)
+ {
+ // grad xy
+ eval.template gradients<0, false, false>(hessians_quad +
+ 2 * n_q_points,
+ scratch_data);
+ eval.template gradients<1, false, true>(scratch_data,
+ values_dofs);
+ }
+ if (dim == 3)
+ {
+ // grad xy
+ eval.template gradients<0, false, false>(hessians_quad +
+ 3 * n_q_points,
+ scratch_data);
+ eval.template gradients<1, false, true>(scratch_data,
+ values_dofs);
+ // grad xz
+ eval.template gradients<0, false, false>(hessians_quad +
+ 4 * n_q_points,
+ scratch_data);
+ eval.template gradients<2, false, true>(scratch_data,
+ values_dofs);
+ // grad yz
+ eval.template gradients<1, false, false>(hessians_quad +
+ 5 * n_q_points,
+ scratch_data);
+ eval.template gradients<2, false, true>(scratch_data,
+ values_dofs);
+ }
+ hessians_quad += hdim * n_q_points;
+ }
gradients_quad += dim * n_q_points;
values_quad += n_q_points;
values_dofs += n_q_points;
Number>::integrate(const unsigned int n_components,
const EvaluationFlags::EvaluationFlags integration_flag,
const MatrixFreeFunctions::ShapeInfo<Number> &shape_info,
- Number *values_dofs,
- Number *values_quad,
- Number *gradients_quad,
- Number *hessians_quad,
- Number *,
+ Number * values_dofs,
+ Number * values_quad,
+ Number * gradients_quad,
+ Number * hessians_quad,
+ Number * scratch_data,
const bool add_into_values_array)
{
Assert(n_q_points_1d > fe_degree,
shape_info.data.front().shape_gradients_collocation_eo.size(),
(n_q_points_1d + 1) / 2 * n_q_points_1d);
constexpr unsigned int n_q_points = Utilities::pow(n_q_points_1d, dim);
+ constexpr unsigned int hdim = (dim * (dim + 1)) / 2;
for (unsigned int c = 0; c < n_components; c++)
{
// apply derivatives in collocation space
- if (integration_flag & EvaluationFlags::gradients)
+ if (integration_flag &
+ (EvaluationFlags::gradients | EvaluationFlags::hessians))
FEEvaluationImplCollocation<dim, n_q_points_1d - 1, Number>::
integrate(1,
integration_flag & (EvaluationFlags::gradients |
nullptr,
gradients_quad,
hessians_quad,
- nullptr,
+ scratch_data,
/*add_into_values_array=*/integration_flag &
EvaluationFlags::values);
add_into_values_array,
values_quad,
values_dofs);
+ hessians_quad += hdim * n_q_points;
gradients_quad += dim * n_q_points;
values_quad += n_q_points;
values_dofs += shape_info.dofs_per_component_on_cell;
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2013 - 2021 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+#include <deal.II/base/logstream.h>
+
+#include <deal.II/distributed/tria.h>
+
+#include <deal.II/dofs/dof_handler.h>
+
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/fe/mapping_q_generic.h>
+
+#include <deal.II/grid/grid_generator.h>
+
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/lac/la_parallel_vector.h>
+
+#include <deal.II/matrix_free/fe_evaluation.h>
+
+#include <deal.II/numerics/vector_tools.h>
+
+#include "../tests.h"
+
+// Tests if applying a matrix vector product with a matrix containing hessians
+// on faces produces the same result with FEEvaluation and FEValues.
+// This is checked for different combinations of EvaluationFlags, FE types and
+// polynomial degrees.
+
+template <int dim>
+void
+test_hessians(const dealii::FE_Poly<dim> & fe,
+ const dealii::Quadrature<dim> & quad,
+ const dealii::EvaluationFlags::EvaluationFlags evaluation_flags)
+{
+ using namespace dealii;
+ using VectorizedArrayType = VectorizedArray<double>;
+
+ Triangulation<dim> tria;
+ GridGenerator::hyper_cube(tria);
+ tria.refine_global(3);
+
+ // TODO: make Hessians work for adaptive refinement
+
+ // unsigned int counter = 0;
+ // for (auto cell = tria.begin_active(); cell != tria.end(); ++cell,
+ // ++counter)
+ // if (cell->is_locally_owned() && counter % 3 == 0)
+ // cell->set_refine_flag();
+ // tria.execute_coarsening_and_refinement();
+
+ DoFHandler<dim> dof_handler(tria);
+ dof_handler.distribute_dofs(fe);
+ MappingQGeneric<dim> mapping(1);
+
+ AffineConstraints<double> constraints;
+ VectorTools::interpolate_boundary_values(
+ mapping, dof_handler, 0, Functions::ZeroFunction<dim>(), constraints);
+ constraints.close();
+
+ // FEEvaluation
+ typename MatrixFree<dim, double, VectorizedArrayType>::AdditionalData
+ additional_data;
+ additional_data.mapping_update_flags_inner_faces =
+ update_values | update_gradients | update_hessians;
+
+ MatrixFree<dim, double, VectorizedArrayType> matrix_free;
+ matrix_free.reinit(mapping, dof_handler, constraints, quad, additional_data);
+
+ if (Utilities::MPI::this_mpi_process(MPI_COMM_WORLD) == 0)
+ deallog << "Working with " << fe.get_name() << " and "
+ << dof_handler.n_dofs() << " dofs" << std::endl;
+
+ LinearAlgebra::distributed::Vector<double> src, dst, dst2;
+ matrix_free.initialize_dof_vector(src);
+ for (auto &v : src)
+ v = random_value<double>();
+
+ matrix_free.initialize_dof_vector(dst);
+ matrix_free.initialize_dof_vector(dst2);
+
+ // Setup FEFaceValues
+ FEValues<dim> fe_values(mapping,
+ fe,
+ quad,
+ update_values | update_gradients | update_hessians |
+ update_JxW_values);
+ Vector<double> solution_values_local(fe.dofs_per_cell);
+ std::vector<Tensor<2, dim>> solution_hessians(quad.size());
+ std::vector<Tensor<1, dim>> solution_gradients(quad.size());
+ std::vector<double> solution_values(quad.size());
+ std::vector<types::global_dof_index> dof_indices(fe.dofs_per_cell);
+ src.update_ghost_values();
+ dst2 = 0;
+
+
+
+ matrix_free.template loop<LinearAlgebra::distributed::Vector<double>,
+ LinearAlgebra::distributed::Vector<double>>(
+ [&](
+ const auto &matrix_free, auto &dst, const auto &src, const auto &range) {
+ FEEvaluation<dim, -1, 0, 1, double, VectorizedArrayType> fe_eval(
+ matrix_free);
+ for (unsigned int cell = range.first; cell < range.second; ++cell)
+ {
+ // FEEvaluation
+ fe_eval.reinit(cell);
+ fe_eval.gather_evaluate(src, evaluation_flags);
+ for (unsigned int q = 0; q < fe_eval.n_q_points; ++q)
+ {
+ if (evaluation_flags & EvaluationFlags::hessians)
+ fe_eval.submit_hessian(fe_eval.get_hessian(q), q);
+ if (evaluation_flags & EvaluationFlags::gradients)
+ fe_eval.submit_gradient(fe_eval.get_gradient(q), q);
+ if (evaluation_flags & EvaluationFlags::values)
+ fe_eval.submit_value(fe_eval.get_value(q), q);
+ }
+ fe_eval.integrate(evaluation_flags);
+ fe_eval.distribute_local_to_global(dst);
+
+ // FEValues
+ for (unsigned int v = 0;
+ v < matrix_free.n_active_entries_per_cell_batch(cell);
+ ++v)
+ {
+ const auto cell_iterator = matrix_free.get_cell_iterator(cell, v);
+
+ fe_values.reinit(cell_iterator);
+
+ cell_iterator->get_dof_indices(dof_indices);
+ constraints.get_dof_values(src,
+ dof_indices.begin(),
+ solution_values_local.begin(),
+ solution_values_local.end());
+
+ for (unsigned int q = 0; q < quad.size(); ++q)
+ {
+ double values = 0.;
+ Tensor<1, dim> gradients;
+ Tensor<2, dim> hessians;
+ for (unsigned int i = 0; i < fe.dofs_per_cell; ++i)
+ {
+ if (evaluation_flags & EvaluationFlags::hessians)
+ hessians += solution_values_local(i) *
+ fe_values.shape_hessian(i, q);
+ if (evaluation_flags & EvaluationFlags::gradients)
+ gradients +=
+ solution_values_local(i) * fe_values.shape_grad(i, q);
+ if (evaluation_flags & EvaluationFlags::values)
+ values += solution_values_local(i) *
+ fe_values.shape_value(i, q);
+ }
+ solution_hessians[q] = hessians * fe_values.JxW(q);
+ solution_gradients[q] = gradients * fe_values.JxW(q);
+ solution_values[q] = values * fe_values.JxW(q);
+ }
+ for (unsigned int i = 0; i < fe.dofs_per_cell; ++i)
+ {
+ double sum_hessians = 0.;
+ double sum_gradients = 0.;
+ double sum_values = 0.;
+ for (unsigned int q = 0; q < quad.size(); ++q)
+ {
+ if (evaluation_flags & EvaluationFlags::hessians)
+ sum_hessians += double_contract<0, 0, 1, 1>(
+ solution_hessians[q], fe_values.shape_hessian(i, q));
+ if (evaluation_flags & EvaluationFlags::gradients)
+ sum_gradients +=
+ solution_gradients[q] * fe_values.shape_grad(i, q);
+ if (evaluation_flags & EvaluationFlags::values)
+ sum_values +=
+ solution_values[q] * fe_values.shape_value(i, q);
+ }
+ solution_values_local(i) =
+ sum_hessians + sum_gradients + sum_values;
+ }
+ constraints.distribute_local_to_global(solution_values_local,
+ dof_indices,
+ dst2);
+ }
+ }
+ },
+ [&](
+ const auto &matrix_free, auto &dst, const auto &src, const auto &range) {
+ (void)matrix_free;
+ (void)dst;
+ (void)src;
+ (void)range;
+ },
+ [&](
+ const auto &matrix_free, auto &dst, const auto &src, const auto &range) {
+ (void)matrix_free;
+ (void)dst;
+ (void)src;
+ (void)range;
+ },
+ dst,
+ src,
+ true);
+
+ const unsigned int end_of_print_dst =
+ dof_handler.n_dofs() > 9 ? 9 : dof_handler.n_dofs();
+
+ deallog << "dst FEE: ";
+ for (unsigned int i = 0; i < end_of_print_dst; ++i)
+ deallog << dst[i] << " ";
+ deallog << std::endl;
+
+ deallog << "dst FEV: ";
+ for (unsigned int i = 0; i < end_of_print_dst; ++i)
+ deallog << dst2[i] << " ";
+ deallog << std::endl;
+
+ // compare solutions of matrix vector product
+ {
+ dst2 -= dst;
+
+ double error = 0.;
+ if (dst.l2_norm() > 0)
+ error = dst2.l2_norm() / dst.l2_norm();
+ else
+ error = dst2.l2_norm();
+
+ if (Utilities::MPI::this_mpi_process(MPI_COMM_WORLD) == 0)
+ deallog << "FEValues verification: " << error << std::endl << std::endl;
+ }
+}
+
+void
+test_qiterated(dealii::EvaluationFlags::EvaluationFlags evaluation_flags)
+{
+ using namespace dealii;
+ deallog << "test_qiterated" << std::endl;
+ for (unsigned int i = 1; i < 4; ++i)
+ {
+ QIterated<1> quad_1(QGauss<1>(i + 1), 2);
+ QIterated<2> quad_2(QGauss<1>(i + 1), 2);
+ QIterated<3> quad_3(QGauss<1>(i + 1), 2);
+ test_hessians<1>(FE_Q<1>(i), quad_1, evaluation_flags);
+ test_hessians<2>(FE_Q<2>(i), quad_2, evaluation_flags);
+ test_hessians<3>(FE_Q<3>(i), quad_3, evaluation_flags);
+ test_hessians<1>(FE_DGQ<1>(i), quad_1, evaluation_flags);
+ test_hessians<2>(FE_DGQ<2>(i), quad_2, evaluation_flags);
+ test_hessians<3>(FE_DGQ<3>(i), quad_3, evaluation_flags);
+ }
+}
+
+void
+test_qgauss(dealii::EvaluationFlags::EvaluationFlags evaluation_flags)
+{
+ using namespace dealii;
+ deallog << "test_qgauss" << std::endl;
+ for (unsigned int i = 1; i < 4; ++i)
+ {
+ QGauss<1> quad_1(i + 1);
+ QGauss<2> quad_2(i + 1);
+ QGauss<3> quad_3(i + 1);
+ test_hessians<1>(FE_Q<1>(i), quad_1, evaluation_flags);
+ test_hessians<2>(FE_Q<2>(i), quad_2, evaluation_flags);
+ test_hessians<3>(FE_Q<3>(i), quad_3, evaluation_flags);
+ test_hessians<1>(FE_DGQ<1>(i), quad_1, evaluation_flags);
+ test_hessians<2>(FE_DGQ<2>(i), quad_2, evaluation_flags);
+ test_hessians<3>(FE_DGQ<3>(i), quad_3, evaluation_flags);
+ }
+}
+
+int
+main(int argc, char **argv)
+{
+ using namespace dealii;
+ Utilities::MPI::MPI_InitFinalize mpi(argc, argv, 1);
+
+ initlog();
+ deallog << std::setprecision(10);
+
+ {
+ EvaluationFlags::EvaluationFlags evaluation_flags =
+ EvaluationFlags::hessians;
+ deallog << "test_hessians_only" << std::endl;
+ test_qgauss(evaluation_flags);
+ test_qiterated(evaluation_flags);
+ }
+
+ {
+ EvaluationFlags::EvaluationFlags evaluation_flags =
+ EvaluationFlags::values | EvaluationFlags::hessians;
+ deallog << "test_hessians_with_values" << std::endl;
+ test_qgauss(evaluation_flags);
+ test_qiterated(evaluation_flags);
+ }
+
+ {
+ EvaluationFlags::EvaluationFlags evaluation_flags =
+ EvaluationFlags::gradients | EvaluationFlags::hessians;
+ deallog << "test_hessians_with_gradients" << std::endl;
+ test_qgauss(evaluation_flags);
+ test_qiterated(evaluation_flags);
+ }
+
+ {
+ EvaluationFlags::EvaluationFlags evaluation_flags =
+ EvaluationFlags::values | EvaluationFlags::gradients |
+ EvaluationFlags::hessians;
+ deallog << "test_hessians_with_gradients_and_values" << std::endl;
+ test_qgauss(evaluation_flags);
+ test_qiterated(evaluation_flags);
+ }
+}
--- /dev/null
+
+DEAL::test_hessians_only
+DEAL::test_qgauss
+DEAL::Working with FE_Q<1>(1) and 9 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(1) and 81 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 -127.9293550 0.000000000 154.0814910 0.000000000 84.32838283 133.7460355
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 -127.9293550 0.000000000 154.0814910 0.000000000 84.32838283 133.7460355
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(1) and 729 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 63.80267270 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 63.80267270 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(1) and 16 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(1) and 256 dofs
+DEAL::dst FEE: 11.67296643 -11.67296643 -11.67296643 11.67296643 45.66021385 -45.66021385 -45.66021385 45.66021385 -73.78028658
+DEAL::dst FEV: 11.67296643 -11.67296643 -11.67296643 11.67296643 45.66021385 -45.66021385 -45.66021385 45.66021385 -73.78028658
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(1) and 4096 dofs
+DEAL::dst FEE: -2.614206237 5.261104676 -2.640250729 -0.006647709760 1.422705614 -4.069604052 3.831751352 -1.184852914 -5.754533413
+DEAL::dst FEV: -2.614206237 5.261104676 -2.640250729 -0.006647709760 1.422705614 -4.069604052 3.831751352 -1.184852914 -5.754533413
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(2) and 17 dofs
+DEAL::dst FEE: 0.000000000 3701.751955 2027.739533 10913.28312 -9431.243443 5858.851214 -12395.32281 6277.767337 677.6203769
+DEAL::dst FEV: 0.000000000 3701.751955 2027.739533 10913.28312 -9431.243443 5858.851214 -12395.32281 6277.767337 677.6203769
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(2) and 289 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 -818.7652426 0.000000000 -1130.630042 0.000000000 2586.249308 804.8668216
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 -818.7652426 0.000000000 -1130.630042 0.000000000 2586.249308 804.8668216
+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(2) and 576 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(2) and 13824 dofs
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+DEAL::FEValues verification: 0.000000000
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+DEAL::FEValues verification: 0.000000000
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+DEAL::Working with FE_DGQ<3>(3) and 32768 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(2) and 289 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(2) and 576 dofs
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+DEAL::dst FEV: -213.4650050 966.7872646 -267.5894277 1231.020919 -4029.846175 1827.366539 137.7267368 752.4997334 -404.4948533
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(2) and 13824 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(3) and 1024 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(3) and 32768 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::test_hessians_with_gradients
+DEAL::test_qgauss
+DEAL::Working with FE_Q<1>(1) and 9 dofs
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+DEAL::dst FEV: 0.000000000 3.234104501 3.979782095 -0.8331205029 -2.307932967 1.359976795 -2.426890367 2.378301614 -0.8771683764
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(1) and 81 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::dst FEV: -2.612164633 2.612164633 4.559392208 -4.559392208 -0.4538705947 0.4538705947 -2.481177391 2.481177391 -0.4816846142
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(1) and 256 dofs
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+DEAL::dst FEV: 44.44519963 -43.96912992 -44.76861450 44.29254479 -1.422133094 0.9207576293 1.086062015 -0.5846865509 -5.636555806
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(1) and 4096 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(2) and 17 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(2) and 289 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(2) and 576 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(2) and 13824 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(3) and 25 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(3) and 625 dofs
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+DEAL::FEValues verification: 0.000000000
+DEAL::
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+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(3) and 32768 dofs
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+DEAL::FEValues verification: 0.000000000
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+DEAL::test_qiterated
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+DEAL::
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+DEAL::FEValues verification: 0.000000000
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+DEAL::
+DEAL::Working with FE_Q<3>(1) and 729 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 2.945498797 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 2.945498797 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(1) and 16 dofs
+DEAL::dst FEE: 2.936544718 -2.909179896 0.8715464054 -0.8377905156 1.237980497 -1.200010392 3.291370031 -3.253336861 1.279333417
+DEAL::dst FEV: 2.936544718 -2.909179896 0.8715464054 -0.8377905156 1.237980497 -1.200010392 3.291370031 -3.253336861 1.279333417
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(1) and 256 dofs
+DEAL::dst FEE: 44.39040308 -44.46731859 -44.58531744 44.66776152 -69.66785317 70.09350037 69.96936828 -70.38726350 82.38779414
+DEAL::dst FEV: 44.39040308 -44.46731859 -44.58531744 44.66776152 -69.66785317 70.09350037 69.96936828 -70.38726350 82.38779414
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(1) and 4096 dofs
+DEAL::dst FEE: -4.345274055 -1.580193543 0.9797331415 4.936007566 -0.02587274041 5.937980978 3.344043749 -9.245220854 2.735475574
+DEAL::dst FEV: -4.345274055 -1.580193543 0.9797331415 4.936007566 -0.02587274041 5.937980978 3.344043749 -9.245220854 2.735475574
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(2) and 17 dofs
+DEAL::dst FEE: 0.000000000 -6990.074878 4342.318843 2533.747369 9648.566013 21025.11462 -14724.56666 22482.97470 -27319.43376
+DEAL::dst FEV: 0.000000000 -6990.074878 4342.318843 2533.747369 9648.566013 21025.11462 -14724.56666 22482.97470 -27319.43376
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(2) and 289 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 -1207.949159 0.000000000 977.5864693 0.000000000 -2014.106190 4493.301757
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 -1207.949159 0.000000000 977.5864693 0.000000000 -2014.106190 4493.301757
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(2) and 4913 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 -55.90236368 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 -55.90236368 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(2) and 24 dofs
+DEAL::dst FEE: 6948.591863 -13905.13423 6956.585227 -2479.246880 4950.228177 -2470.926391 -2075.305610 4145.776366 -2070.402930
+DEAL::dst FEV: 6948.591863 -13905.13423 6956.585227 -2479.246880 4950.228177 -2470.926391 -2075.305610 4145.776366 -2070.402930
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(2) and 576 dofs
+DEAL::dst FEE: 950.4670053 -396.6068331 -136.5779406 -1405.997705 365.0553229 205.7681918 250.9796693 440.2641129 -273.3455508
+DEAL::dst FEV: 950.4670053 -396.6068331 -136.5779406 -1405.997705 365.0553229 205.7681918 250.9796693 440.2641129 -273.3455508
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(2) and 13824 dofs
+DEAL::dst FEE: 32.44943944 -69.58590308 19.83341599 -64.63598726 118.4577187 -20.08340987 -10.58064074 15.51791626 -36.33522421
+DEAL::dst FEV: 32.44943944 -69.58590308 19.83341599 -64.63598726 118.4577187 -20.08340987 -10.58064074 15.51791626 -36.33522421
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(3) and 25 dofs
+DEAL::dst FEE: 0.000000000 22051.75033 34329.64532 -20763.31748 -38587.09583 -44772.92728 57474.24740 40750.61546 7046.790861
+DEAL::dst FEV: 0.000000000 22051.75033 34329.64532 -20763.31748 -38587.09583 -44772.92728 57474.24740 40750.61546 7046.790861
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(3) and 625 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 6497.476242 0.000000000 0.000000000 6604.091745 -1963.013347 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 6497.476242 0.000000000 0.000000000 6604.091745 -1963.013347 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(3) and 15625 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 43.38591491 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 43.38591491 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(3) and 32 dofs
+DEAL::dst FEE: -24408.40021 58170.30580 -63978.45704 30216.63567 3716.097130 -7269.788123 5606.719416 -2052.952581 -10660.68522
+DEAL::dst FEV: -24408.40021 58170.30580 -63978.45704 30216.63567 3716.097130 -7269.788123 5606.719416 -2052.952581 -10660.68522
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(3) and 1024 dofs
+DEAL::dst FEE: -772.3445594 1993.789413 -1574.844262 550.8879762 4073.125256 -9124.243211 9472.443329 -4194.085174 -961.9906330
+DEAL::dst FEV: -772.3445594 1993.789413 -1574.844262 550.8879762 4073.125256 -9124.243211 9472.443329 -4194.085174 -961.9906330
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(3) and 32768 dofs
+DEAL::dst FEE: 57.99744975 -50.77859764 144.0405248 -27.49138889 -194.1973450 -90.19662229 -60.85947275 -39.52423720 16.93192996
+DEAL::dst FEV: 57.99744975 -50.77859764 144.0405248 -27.49138889 -194.1973450 -90.19662229 -60.85947275 -39.52423720 16.93192996
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::test_qiterated
+DEAL::Working with FE_Q<1>(1) and 9 dofs
+DEAL::dst FEE: 0.000000000 8.026124170 -5.919075881 3.817571634 7.135632272 -7.363332652 -1.629564591 0.7913809274 1.392093695
+DEAL::dst FEV: 0.000000000 8.026124170 -5.919075881 3.817571634 7.135632272 -7.363332652 -1.629564591 0.7913809274 1.392093695
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(1) and 81 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 -95.10478362 0.000000000 106.8833190 0.000000000 234.1440906 53.50296342
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 -95.10478362 0.000000000 106.8833190 0.000000000 234.1440906 53.50296342
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(1) and 729 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 58.61626386 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 58.61626386 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(1) and 16 dofs
+DEAL::dst FEE: 2.924939685 -2.863826789 2.936468918 -2.856424353 -4.576902707 4.643830637 4.609776011 -4.531107146 1.341751674
+DEAL::dst FEV: 2.924939685 -2.863826789 2.936468918 -2.856424353 -4.576902707 4.643830637 4.609776011 -4.531107146 1.341751674
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(1) and 256 dofs
+DEAL::dst FEE: -87.48761845 87.60278993 87.36638597 -87.47634569 -85.29747662 85.06645940 85.69675320 -85.45938069 86.52907935
+DEAL::dst FEV: -87.48761845 87.60278993 87.36638597 -87.47634569 -85.29747662 85.06645940 85.69675320 -85.45938069 86.52907935
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(1) and 4096 dofs
+DEAL::dst FEE: -12.68658262 7.189603148 6.714055386 -1.263995625 1.801925744 3.706600238 4.190590297 -9.651180953 0.6066951473
+DEAL::dst FEV: -12.68658262 7.189603148 6.714055386 -1.263995625 1.801925744 3.706600238 4.190590297 -9.651180953 0.6066951473
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(2) and 17 dofs
+DEAL::dst FEE: 0.000000000 -1952.274169 -3098.353588 -8681.762317 7020.305084 -9137.692821 10342.72863 2366.480054 7918.039537
+DEAL::dst FEV: 0.000000000 -1952.274169 -3098.353588 -8681.762317 7020.305084 -9137.692821 10342.72863 2366.480054 7918.039537
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(2) and 289 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 905.3925332 0.000000000 857.2422668 0.000000000 -232.0454130 -1260.634214
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 905.3925332 0.000000000 857.2422668 0.000000000 -232.0454130 -1260.634214
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(2) and 4913 dofs
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+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 84.27845578 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(2) and 24 dofs
+DEAL::dst FEE: -1997.089585 3993.336662 -1996.207377 1149.420489 -2303.931158 1154.595620 -12512.78577 25019.59997 -12506.72136
+DEAL::dst FEV: -1997.089585 3993.336662 -1996.207377 1149.420489 -2303.931158 1154.595620 -12512.78577 25019.59997 -12506.72136
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(2) and 576 dofs
+DEAL::dst FEE: 300.7739352 -1393.253042 236.3010615 -1185.422997 4491.282240 -1593.049440 388.9609953 -2105.591151 860.0094750
+DEAL::dst FEV: 300.7739352 -1393.253042 236.3010615 -1185.422997 4491.282240 -1593.049440 388.9609953 -2105.591151 860.0094750
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(2) and 13824 dofs
+DEAL::dst FEE: -29.83250492 -44.19393840 -4.154214076 11.90949810 297.3554780 -75.11438088 -21.17549233 -67.85706029 5.763492941
+DEAL::dst FEV: -29.83250492 -44.19393840 -4.154214076 11.90949810 297.3554780 -75.11438088 -21.17549233 -67.85706029 5.763492941
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<1>(3) and 25 dofs
+DEAL::dst FEE: 0.000000000 -26981.95989 -13193.15904 30283.97988 35719.06649 18518.12667 -16940.19347 -35115.52393 -69450.68524
+DEAL::dst FEV: 0.000000000 -26981.95989 -13193.15904 30283.97988 35719.06649 18518.12667 -16940.19347 -35115.52393 -69450.68524
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<2>(3) and 625 dofs
+DEAL::dst FEE: 0.000000000 0.000000000 0.000000000 -3082.265592 0.000000000 0.000000000 14498.14961 -10802.53612 0.000000000
+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 -3082.265592 0.000000000 0.000000000 14498.14961 -10802.53612 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_Q<3>(3) and 15625 dofs
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+DEAL::dst FEV: 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 380.5165754 0.000000000
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<1>(3) and 32 dofs
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+DEAL::dst FEV: -18773.62978 39466.48051 -35386.39881 14693.58863 37162.41760 -71247.80608 52064.41816 -17978.96693 34322.17615
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<2>(3) and 1024 dofs
+DEAL::dst FEE: 472.3583656 239.0640885 -1073.547029 1190.260050 2091.716247 -5826.886207 7147.212876 -4972.563457 2842.930604
+DEAL::dst FEV: 472.3583656 239.0640885 -1073.547029 1190.260050 2091.716247 -5826.886207 7147.212876 -4972.563457 2842.930604
+DEAL::FEValues verification: 0.000000000
+DEAL::
+DEAL::Working with FE_DGQ<3>(3) and 32768 dofs
+DEAL::dst FEE: -16.36824162 99.67881396 -102.0779491 50.79297547 154.5260524 -251.9938186 -95.22193757 35.94555856 83.95887099
+DEAL::dst FEV: -16.36824162 99.67881396 -102.0779491 50.79297547 154.5260524 -251.9938186 -95.22193757 35.94555856 83.95887099
+DEAL::FEValues verification: 0.000000000
+DEAL::
projects / dealii.git / commitdiff