Exemple #1
0
int
main (int argc, char **argv)
{
  int                 mpirank, mpisize;
  int                 mpiret;
  sc_MPI_Comm         mpicomm;
  p4est_t            *p4est;
  p4est_connectivity_t *connectivity;

  mpiret = sc_MPI_Init (&argc, &argv);
  SC_CHECK_MPI (mpiret);
  mpicomm = sc_MPI_COMM_WORLD;
  mpiret = sc_MPI_Comm_size (mpicomm, &mpisize);
  SC_CHECK_MPI (mpiret);
  mpiret = sc_MPI_Comm_rank (mpicomm, &mpirank);
  SC_CHECK_MPI (mpiret);

  sc_init (mpicomm, 1, 1, NULL, SC_LP_DEFAULT);
  p4est_init (NULL, SC_LP_DEFAULT);

  /* create connectivity and forest structures */
#ifdef P4_TO_P8
  connectivity = p8est_connectivity_new_rotcubes ();
#else
  connectivity = p4est_connectivity_new_star ();
#endif
  p4est = p4est_new_ext (mpicomm, connectivity, 15, 0, 0, 1, NULL, NULL);
  p4est_refine_ext (p4est, 1, P4EST_QMAXLEVEL, refine_fn, NULL, replace_fn);
  p4est_coarsen_ext (p4est, 1, 0, coarsen_fn, NULL, replace_fn);
  p4est_balance_ext (p4est, P4EST_CONNECT_FULL, NULL, replace_fn);

  p4est_destroy (p4est);
  p4est_connectivity_destroy (connectivity);
  sc_finalize ();

  mpiret = sc_MPI_Finalize ();
  SC_CHECK_MPI (mpiret);

  return 0;
}
int main(int argc, char *argv[])
{
  int mpiret;
  sc_MPI_Comm mpicomm;
  int proc_size;

  p4est_connectivity_t *conn;
  p4est_geometry_t *geom;
  p4est_t* p4est;
  
  int seed = time(NULL);
  srand(seed);
  
  /* MPI init */
  mpiret = sc_MPI_Init(&argc, &argv);
  SC_CHECK_MPI(mpiret);
  mpicomm = sc_MPI_COMM_WORLD;
  sc_init (mpicomm, 1, 1, NULL, SC_LP_ESSENTIAL);
  mpiret = MPI_Comm_size(mpicomm, &proc_size);
  SC_CHECK_MPI (mpiret);
  /* pXest init */
  p4est_init(NULL, SC_LP_PRODUCTION);


  conn = p4est_connectivity_new_disk();
  /* geom = p4est_geometry_new_connectivity(conn); */
  geom = p4est_geometry_new_disk(conn,1.,2.);

  p4est = p4est_new_ext (mpicomm, conn, -1, 0, 1,
                         sizeof(curved_element_data_t), NULL, NULL);

  int world_rank,world_size;
  sc_MPI_Comm_rank(sc_MPI_COMM_WORLD, &world_rank);
  sc_MPI_Comm_size(sc_MPI_COMM_WORLD, &world_size);
  
  /* start just-in-time dg-math */
  dgmath_jit_dbase_t* dgmath_jit_dbase = dgmath_jit_dbase_init();
  geometric_factors_t* geometric_factors = geometric_factors_init(p4est);
  
  curved_element_data_init(p4est, geometric_factors, dgmath_jit_dbase, geom, 4);
  /* int local_nodes = curved_element_data_get_local_nodes(p4est); */
  /* double* u = P4EST_ALLOC(double, local_nodes); */

  /* for (int i = 0; i < local_nodes; i++){ */
  /*   /\* u = x *\/ */
  /*   u[i] = geometric_factors->xyz[i]; */
  /* } */
  
  int num_of_refinements = 2;
  /* p4est_vtk_write_all */
  /*   (p4est, */
  /*    geom, */
  /*    0.99, */
  /*    1, */
  /*    1, */
  /*    1, */
  /*    0, */
  /*    0, */
  /*    0, */
  /*    "disk0" */
  /*   ); */
  for (int i = 0; i < num_of_refinements; i++){
    p4est_refine_ext (p4est, 0, -1, random_h_refine, NULL, refine_uniform_replace_callback);
    p4est_balance_ext(p4est, P4EST_CONNECT_FACE, NULL, refine_uniform_replace_callback);
    /* p4est_vtk_write_all */
    /*   (p4est, */
    /*    geom, */
    /*    0.99, */
    /*    1, */
    /*    1, */
    /*    1, */
    /*    0, */
    /*    0, */
    /*    0, */
    /*    "disk" */
    /*   ); */
  }

  curved_element_data_init(p4est, geometric_factors, dgmath_jit_dbase, geom, -1);
  int local_nodes = curved_element_data_get_local_nodes(p4est);
  double* u = P4EST_ALLOC(double, local_nodes);

  for (int i = 0; i < local_nodes; i++){
    /* u = x */
    u[i] = geometric_factors->xyz[i];
  }
  
  

  /* curved_element_data_init(p4est, geometric_factors, dgmath_jit_dbase, geom, -1); */

  /* store vector */
  curved_element_data_copy_from_vec_to_storage
    (
     p4est,
     u
    );
  
  test_curved_data_t test_curved_data;
  test_curved_data.mortar_err = 0.;
  test_curved_data.hanging_proj_err = 0.;
  test_curved_data.full_proj_err = 0.;
  test_curved_data.print_data = 1;
  test_curved_data.no_reorient = 0;
  test_curved_data.geom = geom;

  p4est_ghost_t* ghost = p4est_ghost_new (p4est, P4EST_CONNECT_FACE);
  /* create space for storing the ghost data */
  curved_element_data_t* ghost_data = P4EST_ALLOC (curved_element_data_t,
                                                   ghost->ghosts.elem_count);
  
  p4est_ghost_exchange_data (p4est, ghost, ghost_data);
  curved_compute_flux_user_data_t curved_compute_flux_user_data;
  curved_compute_flux_user_data.dgmath_jit_dbase = dgmath_jit_dbase;  

  curved_flux_fcn_ptrs_t flux_fcns = (test_curved_data_fetch_fcns(&test_curved_data));

  curved_compute_flux_user_data.flux_fcn_ptrs = &flux_fcns;
  p4est->user_pointer = &curved_compute_flux_user_data;
  
  p4est_iterate (p4est,
  		 ghost,
  		 (void *) ghost_data,
  		 NULL,
                 curved_compute_flux_on_local_elements,
#if (P4EST_DIM)==3
                 NULL,
#endif
                 NULL);  

  test_curved_data.mortar_err = 0.;
  
  if (world_rank == 0)
    printf("mortar_err = %.20f\n",
           test_curved_data.mortar_err
          );
 
  p4est_ghost_destroy (ghost);
  P4EST_FREE (ghost_data);
  ghost = NULL;
  ghost_data = NULL;
  /* curved_hp_amr(p4est, */
  /*               &u, */
  /*               test_nonconform_random_hp, */
  /*               NULL, */
  /*               NULL, */
  /*               NULL, */
  /*               dgmath_jit_dbase */
  /*              ); */

  /*   curved_element_data_init(p4est, geometric_factors, dgmath_jit_dbase, geom, -1); */
    
  /* double* u_vertex = P4EST_ALLOC(double, p4est->local_num_quadrants*(P4EST_CHILDREN)); */

  /* element_data_store_nodal_vec_in_vertex_array */
  /*   ( */
  /*    p4est, */
  /*    u, */
  /*    u_vertex */
  /*   ); */

  /* char sol_save_as [500]; */
  /* sprintf(sol_save_as, "%s_test_nonconform_sym_level_%d_u", P4EST_STRING, i); */
    
  /* curved_hacked_p4est_vtk_write_all */
  /*   (p4est, */
  /*    NULL, */
  /*    0.99, */
  /*    0,    */
  /*    1,    */
  /*    1,    */
  /*    0, */
  /*    1, */
  /*    0, */
  /*    sol_save_as, */
  /*    "u", */
  /*    u_vertex */
  /*   ); */

  /* P4EST_FREE(u_vertex);    */

    
  /* ip_flux_params_t ip_flux_params; */
  /* ip_flux_params.ip_flux_penalty_prefactor = atoi(argv[6]); */
  /* ip_flux_params.ip_flux_penalty_calculate_fcn = sipg_flux_vector_calc_penalty_maxp2_over_minh; */


  /* problem_data_t vecs; */
  /* vecs.u = u; */
  /* vecs.local_nodes = element_data_get_local_nodes(p4est); */
  /* vecs.vector_flux_fcn_data = sipg_flux_vector_dirichlet_fetch_fcns */
  /* ( */
  /* zero_fcn, */
  /* &ip_flux_params */
  /* ); */
  /* vecs.scalar_flux_fcn_data = sipg_flux_scalar_dirichlet_fetch_fcns(zero_fcn); */

  /* weakeqn_ptrs_t fcns; */
  /* fcns.apply_lhs = poisson_apply_aij; */

  /* matrix_sym_tester */
  /*   ( */
  /*    p4est, */
  /*    &vecs, /\* only needed for # of nodes *\/ */
  /*    &fcns, */
  /*    .000000000000001, */
  /*    dgmath_jit_dbase, */
  /*    0, */
  /*    0 */
  /*   ); */

  /* } */
  
  P4EST_FREE(u);
  geometric_factors_destroy(geometric_factors);
  /* free pointers */
  dgmath_jit_dbase_destroy(dgmath_jit_dbase);
  
  /* free pXest */
  p4est_destroy(p4est);
  /* p4est_destroy(p4est); */
  if (geom != NULL) {
    p4est_geometry_destroy (geom);
  }
  p4est_connectivity_destroy(conn);

  /* finalize mpi stuff */  
  sc_finalize();
  mpiret = sc_MPI_Finalize ();
  SC_CHECK_MPI(mpiret);  
}
Exemple #3
0
int
p4est_wrap_adapt (p4est_wrap_t * pp)
{
  int                 changed;
#ifdef P4EST_ENABLE_DEBUG
  p4est_locidx_t      jl, local_num;
#endif
  p4est_gloidx_t      global_num;
  p4est_t            *p4est = pp->p4est;

  P4EST_ASSERT (!pp->hollow);
  P4EST_ASSERT (pp->coarsen_delay >= 0);

  P4EST_ASSERT (pp->mesh != NULL);
  P4EST_ASSERT (pp->ghost != NULL);
  P4EST_ASSERT (pp->mesh_aux == NULL);
  P4EST_ASSERT (pp->ghost_aux == NULL);
  P4EST_ASSERT (pp->match_aux == 0);

  P4EST_ASSERT (pp->temp_flags == NULL);
  P4EST_ASSERT (pp->num_refine_flags >= 0 &&
                pp->num_refine_flags <= p4est->local_num_quadrants);

  /* This allocation is optimistic when not all refine requests are honored */
  pp->temp_flags = P4EST_ALLOC_ZERO (uint8_t, p4est->local_num_quadrants +
                                     (P4EST_CHILDREN - 1) *
                                     pp->num_refine_flags);

  /* Execute refinement */
  pp->inside_counter = pp->num_replaced = 0;
#ifdef P4EST_ENABLE_DEBUG
  local_num = p4est->local_num_quadrants;
#endif
  global_num = p4est->global_num_quadrants;
  p4est_refine_ext (p4est, 0, -1, refine_callback, NULL, replace_on_refine);
  P4EST_ASSERT (pp->inside_counter == local_num);
  P4EST_ASSERT (p4est->local_num_quadrants - local_num ==
                pp->num_replaced * (P4EST_CHILDREN - 1));
  changed = global_num != p4est->global_num_quadrants;

  /* Execute coarsening */
  pp->inside_counter = pp->num_replaced = 0;
#ifdef P4EST_ENABLE_DEBUG
  local_num = p4est->local_num_quadrants;
#endif
  global_num = p4est->global_num_quadrants;
  p4est_coarsen_ext (p4est, 0, 1, coarsen_callback, NULL,
                     pp->coarsen_delay ? replace_on_coarsen : pp->replace_fn);
  P4EST_ASSERT (pp->inside_counter == local_num);
  P4EST_ASSERT (local_num - p4est->local_num_quadrants ==
                pp->num_replaced * (P4EST_CHILDREN - 1));
  changed = changed || global_num != p4est->global_num_quadrants;

  /* Free temporary flags */
  P4EST_FREE (pp->temp_flags);
  pp->temp_flags = NULL;

  /* Only if refinement and/or coarsening happened do we need to balance */
  if (changed) {
    P4EST_FREE (pp->flags);
    p4est_balance_ext (p4est, pp->btype, NULL, pp->coarsen_delay ?
                       replace_on_balance : pp->replace_fn);
    pp->flags = P4EST_ALLOC_ZERO (uint8_t, p4est->local_num_quadrants);

    pp->ghost_aux = p4est_ghost_new (p4est, pp->btype);
    pp->mesh_aux = p4est_mesh_new_ext (p4est, pp->ghost_aux, 1, 1, pp->btype);
    pp->match_aux = 1;
  }
#ifdef P4EST_ENABLE_DEBUG
  else {
    for (jl = 0; jl < p4est->local_num_quadrants; ++jl) {
      P4EST_ASSERT (pp->flags[jl] == 0);
    }
  }
#endif
  pp->num_refine_flags = 0;

  return changed;
}
Exemple #4
0
END_TEST


START_TEST(test_surface_plot)
{
  int test_check = 1;
  int startlevel = 0;
  int endlevel = 2;
  int degree = 3;
  int level;

  p4est_reset_data(global_p4est_pointer, sizeof(element_data_t), NULL, NULL);  
  element_data_init(global_p4est_pointer,degree);
  
  for (level = startlevel; level < endlevel; ++level){
    /* p4est_refine(global_p4est_pointer, 0, refine_h, NULL); */
    p4est_refine_ext(global_p4est_pointer, 0, -1, refine_uni, NULL, NULL);
  }
  p4est_balance_ext (global_p4est_pointer, P4EST_CONNECT_FACE, NULL, NULL);
  
  element_data_init(global_p4est_pointer,degree);
  /* element_data_print(global_p4est_pointer); */

  p4est_t* p4est = global_p4est_pointer;
  
  int local_nodes = element_data_get_local_nodes(global_p4est_pointer);
  double* u = P4EST_ALLOC(double, local_nodes);
  element_data_init_node_vec(p4est, u, sin_wave);

  double* xyz [(P4EST_DIM)];

  int i;
  for (i = 0; i < (P4EST_DIM); i++)
    xyz[i] = P4EST_ALLOC(double, local_nodes);

  element_data_get_xyz(p4est, xyz);

  plot_data x_data;
  x_data.N = local_nodes;
  x_data.data = xyz[0];
  plot_data y_data;
  y_data.N = local_nodes;
  y_data.data = xyz[1];
  plot_data z_data;
  z_data.N = local_nodes;
  z_data.data = u;

  plot_features features_surface;
  features_surface.saveas = "test_plot_surface.png";
  features_surface.save = 1;

  plot_features features_contour;
  features_contour.saveas = "test_plot_contour.png";
  features_contour.save = 1;

  /* matplotlib_wrapper_init(); */
  matplotlib_wrapper_surfaceplot(&x_data,&y_data,&z_data,NULL,&features_surface);
  matplotlib_wrapper_contourplot(&x_data,&y_data,&z_data,NULL,&features_contour);
  matplotlib_wrapper_exit();
  
  for (i = 0; i < (P4EST_DIM); i++)
    P4EST_FREE(xyz[i]);
  P4EST_FREE(u);
  ck_assert_int_eq(test_check,1);
}
Exemple #5
0
/** Timestep the advection problem.
 *
 * Update the state, refine, repartition, and write the solution to file.
 *
 * \param [in,out] p4est the forest, whose state is updated
 * \param [in] time      the end time
 */
static void
step3_timestep (p4est_t * p4est, double time)
{
  double              t = 0.;
  double              dt = 0.;
  int                 i;
  step3_data_t       *ghost_data;
  step3_ctx_t        *ctx = (step3_ctx_t *) p4est->user_pointer;
  int                 refine_period = ctx->refine_period;
  int                 repartition_period = ctx->repartition_period;
  int                 write_period = ctx->write_period;
  int                 recursive = 0;
  int                 allowed_level = P4EST_QMAXLEVEL;
  int                 allowcoarsening = 1;
  int                 callbackorphans = 0;
  int                 mpiret;
  double              orig_max_err = ctx->max_err;
  double              umax, global_umax;
  p4est_ghost_t      *ghost;

  /* create the ghost quadrants */
  ghost = p4est_ghost_new (p4est, P4EST_CONNECT_FULL);
  /* create space for storing the ghost data */
  ghost_data = P4EST_ALLOC (step3_data_t, ghost->ghosts.elem_count);
  /* synchronize the ghost data */
  p4est_ghost_exchange_data (p4est, ghost, ghost_data);

  /* initialize du/dx estimates */
  p4est_iterate (p4est, ghost, (void *) ghost_data,     /* pass in ghost data that we just exchanged */
                 step3_reset_derivatives,       /* blank the previously calculated derivatives */
                 step3_minmod_estimate, /* compute the minmod estimate of each cell's derivative */
#ifdef P4_TO_P8
                 NULL,          /* there is no callback for the edges between quadrants */
#endif
                 NULL);         /* there is no callback for the corners between quadrants */

  for (t = 0., i = 0; t < time; t += dt, i++) {
    P4EST_GLOBAL_PRODUCTIONF ("time %f\n", t);

    /* refine */
    if (!(i % refine_period)) {
      if (i) {
        /* compute umax */
        umax = 0.;
        /* initialize derivative estimates */
        p4est_iterate (p4est, NULL, (void *) &umax,     /* pass in ghost data that we just exchanged */
                       step3_compute_max,       /* blank the previously calculated derivatives */
                       NULL,    /* there is no callback for the faces between quadrants */
#ifdef P4_TO_P8
                       NULL,    /* there is no callback for the edges between quadrants */
#endif
                       NULL);   /* there is no callback for the corners between quadrants */

        mpiret =
          sc_MPI_Allreduce (&umax, &global_umax, 1, sc_MPI_DOUBLE, sc_MPI_MAX,
                            p4est->mpicomm);
        SC_CHECK_MPI (mpiret);
        ctx->max_err = orig_max_err * global_umax;
        P4EST_GLOBAL_PRODUCTIONF ("u_max %f\n", global_umax);

        /* adapt */
        p4est_refine_ext (p4est, recursive, allowed_level,
                          step3_refine_err_estimate, NULL,
                          step3_replace_quads);
        p4est_coarsen_ext (p4est, recursive, callbackorphans,
                           step3_coarsen_err_estimate, NULL,
                           step3_replace_quads);
        p4est_balance_ext (p4est, P4EST_CONNECT_FACE, NULL,
                           step3_replace_quads);

        p4est_ghost_destroy (ghost);
        P4EST_FREE (ghost_data);
        ghost = NULL;
        ghost_data = NULL;
      }
      dt = step3_get_timestep (p4est);
    }

    /* repartition */
    if (i && !(i % repartition_period)) {
      p4est_partition (p4est, allowcoarsening, NULL);

      if (ghost) {
        p4est_ghost_destroy (ghost);
        P4EST_FREE (ghost_data);
        ghost = NULL;
        ghost_data = NULL;
      }
    }

    /* write out solution */
    if (!(i % write_period)) {
      step3_write_solution (p4est, i);
    }

    /* synchronize the ghost data */
    if (!ghost) {
      ghost = p4est_ghost_new (p4est, P4EST_CONNECT_FULL);
      ghost_data = P4EST_ALLOC (step3_data_t, ghost->ghosts.elem_count);
      p4est_ghost_exchange_data (p4est, ghost, ghost_data);
    }

    /* compute du/dt */
    /* *INDENT-OFF* */
    p4est_iterate (p4est,                 /* the forest */
                   ghost,                 /* the ghost layer */
                   (void *) ghost_data,   /* the synchronized ghost data */
                   step3_quad_divergence, /* callback to compute each quad's
                                             interior contribution to du/dt */
                   step3_upwind_flux,     /* callback to compute each quads'
                                             faces' contributions to du/du */
#ifdef P4_TO_P8
                   NULL,                  /* there is no callback for the
                                             edges between quadrants */
#endif
                   NULL);                 /* there is no callback for the
                                             corners between quadrants */
    /* *INDENT-ON* */

    /* update u */
    p4est_iterate (p4est, NULL, /* ghosts are not needed for this loop */
                   (void *) &dt,        /* pass in dt */
                   step3_timestep_update,       /* update each cell */
                   NULL,        /* there is no callback for the faces between quadrants */
#ifdef P4_TO_P8
                   NULL,        /* there is no callback for the edges between quadrants */
#endif
                   NULL);       /* there is no callback for the corners between quadrants */

    /* synchronize the ghost data */
    p4est_ghost_exchange_data (p4est, ghost, ghost_data);

    /* update du/dx estimate */
    p4est_iterate (p4est, ghost, (void *) ghost_data,   /* pass in ghost data that we just exchanged */
                   step3_reset_derivatives,     /* blank the previously calculated derivatives */
                   step3_minmod_estimate,       /* compute the minmod estimate of each cell's derivative */
#ifdef P4_TO_P8
                   NULL,        /* there is no callback for the edges between quadrants */
#endif
                   NULL);       /* there is no callback for the corners between quadrants */
  }

  P4EST_FREE (ghost_data);
  p4est_ghost_destroy (ghost);
}
void
problem_init
(
 int argc,
 char* argv [],
 p4est_t* p4est,
 p4est_geometry_t* p4est_geom,
 dgmath_jit_dbase_t* dgmath_jit_dbase,
 int proc_size,
 sc_MPI_Comm mpicomm,
 int load_from_checkpoint
)
{
  mpi_assert((P4EST_DIM) == 2 || (P4EST_DIM) == 3);
  int world_rank, world_size;
  sc_MPI_Comm_rank(sc_MPI_COMM_WORLD, &world_rank);
  sc_MPI_Comm_size(sc_MPI_COMM_WORLD, &world_size);

  double* Au = P4EST_ALLOC_ZERO(double, 1);
  double* rhs = P4EST_ALLOC_ZERO(double, 1);
  double* u = P4EST_ALLOC_ZERO(double, 1);
  double* f = P4EST_ALLOC_ZERO(double, 1);
  double* u_analytic = P4EST_ALLOC_ZERO(double, 1);
  int local_nodes = 1;

  problem_input_t input = problem_input("options.input");
  
  int endlevel = input.endlevel;
  int degree = input.degree;         

  ip_flux_params_t ip_flux_params;
  ip_flux_params.ip_flux_penalty_prefactor = input.ip_flux_penalty;
  ip_flux_params.ip_flux_penalty_calculate_fcn = sipg_flux_vector_calc_penalty_maxp2_over_minh;
  
  p4est_ghost_t* ghost = p4est_ghost_new (p4est, P4EST_CONNECT_FACE);
  /* create space for storing the ghost data */
  element_data_t* ghost_data = P4EST_ALLOC (element_data_t,
                                                   ghost->ghosts.elem_count);

  p4est_partition(p4est, 0, NULL);
  p4est_balance (p4est, P4EST_CONNECT_FACE, NULL);

  grid_fcn_t boundary_flux_fcn = zero_fcn;
  
  problem_data_t prob_vecs;
  prob_vecs.rhs = rhs;
  prob_vecs.Au = Au;
  prob_vecs.u = u;
  prob_vecs.f = f;
  prob_vecs.local_nodes = local_nodes;
  
  for (int level = 0; level < endlevel; ++level){

    if (level != 0){
      p4est_refine_ext(p4est,
                       0,
                       -1,
                       refine_function,
                       NULL,
                       NULL
                      );

      p4est_balance_ext
        (
         p4est,
         P4EST_CONNECT_FACE,
         NULL,
         NULL
        );

      p4est_ghost_destroy(ghost);
      P4EST_FREE(ghost_data);

      ghost = p4est_ghost_new(p4est, P4EST_CONNECT_FACE);
      ghost_data = P4EST_ALLOC(element_data_t, ghost->ghosts.elem_count);      
    }

  }


  p4est_partition(p4est, 1, NULL);


  p4est_balance_ext
    (
     p4est,
     P4EST_CONNECT_FACE,
     NULL,
     NULL
    );

  p4est_ghost_destroy(ghost);
  P4EST_FREE(ghost_data);

  ghost = p4est_ghost_new(p4est, P4EST_CONNECT_FACE);
  ghost_data = P4EST_ALLOC(element_data_t, ghost->ghosts.elem_count);      
  

  
  weakeqn_ptrs_t prob_fcns;
  prob_fcns.apply_lhs = problem_apply_aij;
     
  element_data_init(p4est, degree);
  local_nodes = element_data_get_local_nodes(p4est);

  printf("RANK %d: Nodes = %d\n", world_rank, local_nodes);
  
  Au = P4EST_REALLOC(Au, double, local_nodes);
  u = P4EST_REALLOC(u, double, local_nodes);
  f = P4EST_REALLOC(f, double, local_nodes);
  rhs = P4EST_REALLOC(rhs, double, local_nodes);
  u_analytic = P4EST_REALLOC(u_analytic, double, local_nodes);

  prob_vecs.Au = Au;
  prob_vecs.u = u;
  prob_vecs.f = f;
  prob_vecs.rhs = rhs;
  prob_vecs.local_nodes = local_nodes;

  linalg_fill_vec(u, 0., local_nodes);
  element_data_init_node_vec(p4est,f,f_fcn,dgmath_jit_dbase);

  prob_vecs.vector_flux_fcn_data
    = sipg_flux_vector_dirichlet_fetch_fcns
    (
     boundary_fcn,
     &ip_flux_params
    );
  
  prob_vecs.scalar_flux_fcn_data
    = sipg_flux_scalar_dirichlet_fetch_fcns
    (
     boundary_flux_fcn
    );


  problem_build_rhs
    (
     p4est,
     &prob_vecs,
     &prob_fcns,
     ghost,
     ghost_data,
     dgmath_jit_dbase
    );

  clock_t begin = 0;
  clock_t end = -1;

  if (world_rank == 0){
    begin = clock();
  }  

  int vcycle_iter = 3;
  double vcycle_rtol = 1e-3;
  double vcycle_atol = 0.;
  int smooth_iter = 8;
  int cg_eigs_iter = 10;
  double max_eig_factor = 1.1;
  int max_eig_reuse = 1;
  double lmax_lmin_rat = 30.;
  int coarse_iter = 100;
  double coarse_rtol = 1e-8;
  int save_vtk_snapshot = 0;
  int perform_checksum = 0;
  
  multigrid_data_t* mg_data
    = multigrid_data_init
    (
     world_rank,
     endlevel,
     vcycle_iter,
     vcycle_rtol,
     vcycle_atol,
     smooth_iter,
     cg_eigs_iter,
     max_eig_factor,
     max_eig_reuse,
     lmax_lmin_rat,
     CG,
     coarse_iter,
     coarse_rtol,
     save_vtk_snapshot,
     perform_checksum,
     RES_AND_EIG_LOG,
     dgmath_jit_dbase
    );


  multigrid_solve
    (
     p4est,
     &prob_vecs,
     &prob_fcns,
     mg_data,
     &ghost,
     &ghost_data
    );
  
  
  multigrid_data_destroy(mg_data);
  
  element_data_init_node_vec(p4est, u_analytic, analytic_solution_fcn, dgmath_jit_dbase);    
  linalg_vec_axpy(-1., u, u_analytic, local_nodes);

  double local_l2_norm_sqr =  element_data_compute_l2_norm_sqr_no_local
                              (
                               p4est,
                               u_analytic,
                               dgmath_jit_dbase
                              );
  
  double local_nodes_dbl = (double)local_nodes;
  double local_reduce [2];
  local_reduce[0] = local_nodes_dbl;
  local_reduce[1] = local_l2_norm_sqr;

  double global_reduce [2];

  sc_reduce
    (
     &local_reduce[0],
     &global_reduce[0],
     2,
     sc_MPI_DOUBLE,
     sc_MPI_SUM,
     0,
     sc_MPI_COMM_WORLD
    );

  double global_nodes_dbl = global_reduce[0];
  double global_l2_norm_sqr = global_reduce[1];
    
  if (world_rank == 0){
    end = clock();
    double time_spent = (double)(end - begin) / CLOCKS_PER_SEC;
    printf
      (
       "\n\n[HP_AMR]: %d %d %d %.25f %f \n\n",
       degree,
       (int)p4est->global_num_quadrants,
       (int)global_nodes_dbl,
       sqrt(global_l2_norm_sqr),
       /* info.iterations, */
       /* info.residual_norm, */
       time_spent
      );
  }


  
  if (ghost) {
    p4est_ghost_destroy (ghost);
    P4EST_FREE (ghost_data);
    ghost = NULL;
    ghost_data = NULL;
  }


  
  P4EST_FREE(f);
  P4EST_FREE(Au);
  P4EST_FREE(rhs);
  P4EST_FREE(u_analytic);
  P4EST_FREE(u);
}