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slabs_gradient.c
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slabs_gradient.c
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/*
This file is part of the ymir Library.
ymir is a C library for modeling ice sheets
Copyright (C) 2010, 2011 Carsten Burstedde, Toby Isaac, Johann Rudi,
Georg Stadler, Lucas Wilcox.
The ymir Library is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Founisdation, either version 3 of the License, or
(at your option) any later version.
The ymir Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with the ymir Library. If not, see <http://www.gnu.org/licenses/>.
---
This is the slabs example for global instantaneous mantle flow with plates.
*/
#include <slabs_base.h>
#include <slabs_norm.h>
#include <slabs_physics_extended.h>
#include <slabs_discretization.h>
#include <slabs_discretization_extended.h>
#include <slabs_linear_stokes_problem.h>
#include <slabs_nonlinear_stokes_problem.h>
#include <slabs_stokes_state.h>
#include <slabs_io.h>
#include <slabs_vtk.h>
#include <slabs_gradient.h>
#include <slabs_stokes_state.h>
#include <ymir_gmg_hierarchy_mesh.h>
#include <ymir_gmg_hierarchy_stress.h>
#include <ymir_gmg_hierarchy_bbt.h>
#include <ymir_perf_counter.h>
// for nonlinear solver
#include <ymir_velocity_vec.h>
//###DEV###
#include <ymir_interp_vec.h>
#include <ymir_mass_vec.h>
#include <ymir_mass_elem.h>
#include <ymir_nl.h>
#include <ymir_pressure_vec.h>
#include <ymir_derivative_elem.h>
#include <ymir_velocity_vec.h>
#include <ymir_interp_vec.h>
#include <ymir_vec_getset.h>
#include <ymir_vtk.h>
typedef struct gradient_fn_data
{
ymir_dvec_t *grad_weak_factor;
ymir_dvec_t *grad_strain_exp;
ymir_dvec_t *grad_TZ_prefactor;
ymir_dvec_t *grad_yield_stress;
ymir_dvec_t *grad_UM_prefactor;
ymir_dvec_t *grad_activation_energy;
}
slabs_grad_data_t;
slabs_inverse_problem_params_t *
slabs_inverse_problem_new (ymir_mesh_t *mesh,
slabs_stokes_state_t *state,
ymir_pressure_elem_t *press_elem)
{
slabs_inverse_problem_params_t *inverse_problem_grad;
const char *this_fn_name = "creating new inverse problem";
YMIR_GLOBAL_INFOF ("Done %s\n", this_fn_name);
inverse_problem_grad = YMIR_ALLOC (slabs_inverse_problem_params_t, 1);
inverse_problem_grad->mesh = mesh;
inverse_problem_grad->press_elem = press_elem;
/* assign pointers to misfit and adjoint velocitiy and pressure */
inverse_problem_grad->adjoint_vq = NULL;//ymir_vec_template (state->vel_press_vec);
/* inverse_problem_grad->surface_velocity_misfit = NULL; */
/* inverse_problem_grad->surface_normal_stress_misfit = NULL; */
/* inverse_problem_grad->surface_IIe_misfit = NULL; */
/* assign pointers to gradient vectors */
inverse_problem_grad->grad_weak_factor = NULL;
inverse_problem_grad->grad_strain_exp = NULL;
inverse_problem_grad->grad_yield_stress = NULL;
inverse_problem_grad->grad_TZ_prefactor = NULL;
inverse_problem_grad->grad_UM_prefactor = NULL;
inverse_problem_grad->grad_activation_energy = NULL;
/* assign pointers to incremental update directions */
inverse_problem_grad->inc_update_strain_rate_exp_vec = NULL;
inverse_problem_grad->inc_update_yield_stress_vec = NULL;
inverse_problem_grad->inc_update_UM_prefactor_vec = NULL;
inverse_problem_grad->inc_update_TZ_prefactor_vec = NULL;
inverse_problem_grad->inc_update_activation_energy_vec = NULL;
inverse_problem_grad->inc_update_weakzone_prefactor_vec = NULL;
inverse_problem_grad->sam_weakzone_stencil = NULL;
inverse_problem_grad->izu_weakzone_stencil = NULL;
inverse_problem_grad->ryu_weakzone_stencil = NULL;
/* assign pointers to rheological structures */
inverse_problem_grad->viscosity = NULL;
inverse_problem_grad->bounds_marker = NULL;
inverse_problem_grad->yielding_marker = NULL;
/* assign pointers to data */
inverse_problem_grad->normal_stress_obs = NULL;
inverse_problem_grad->IIe_obs = NULL;
/* assign pointers to data */
inverse_problem_grad->velocity_data = NULL;
inverse_problem_grad->velocity_data_vec = NULL;
inverse_problem_grad->stokes_pc = NULL;
inverse_problem_grad->stokes_op = NULL;
inverse_problem_grad->surface_normal_stress = NULL;
inverse_problem_grad->surface_IIe = NULL;
return inverse_problem_grad;
}
void
slabs_clear_inverse_problem_empty (slabs_inverse_problem_params_t *inverse_params)
{
YMIR_FREE (inverse_params);
}
void
slabs_initialize_weakzone_stencils (slabs_inverse_problem_params_t *inverse_params)
{
ymir_mesh_t *mesh = inverse_params->mesh;
const char *this_fn_name = "creating new inverse problem";
inverse_params->sam_weakzone_stencil = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->izu_weakzone_stencil = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->ryu_weakzone_stencil = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
}
void
slabs_destroy_weakzone_stencils (slabs_inverse_problem_params_t *inverse_params)
{
ymir_vec_destroy (inverse_params->sam_weakzone_stencil);
ymir_vec_destroy (inverse_params->izu_weakzone_stencil);
ymir_vec_destroy (inverse_params->ryu_weakzone_stencil);
}
void
slabs_initialize_gradients_velocity_data (slabs_inverse_problem_params_t *inverse_params)
{
ymir_mesh_t *mesh = inverse_params->mesh;
const char *this_fn_name = "creating new inverse problem";
/* assign pointers to gradient vectors */
inverse_params->grad_weak_factor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_strain_exp = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_yield_stress = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_TZ_prefactor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_UM_prefactor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_activation_energy = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
}
void
slabs_destroy_velocity_gradients (slabs_inverse_problem_params_t *inverse_params)
{
const char *this_fn_name = "destroying gradient vectors";
ymir_vec_destroy (inverse_params->grad_weak_factor);
ymir_vec_destroy (inverse_params->grad_strain_exp);
ymir_vec_destroy (inverse_params->grad_yield_stress);
ymir_vec_destroy (inverse_params->grad_TZ_prefactor);
ymir_vec_destroy (inverse_params->grad_UM_prefactor);
ymir_vec_destroy (inverse_params->grad_activation_energy);
YMIR_GLOBAL_INFOF ("Finished %s\n", this_fn_name);
}
void
slabs_initialize_gradients_viscosity_data (slabs_inverse_problem_params_t *inverse_params)
{
ymir_mesh_t *mesh = inverse_params->mesh;
const char *this_fn_name = "creating new inverse problem";
/* assign pointers to gradient vectors */
inverse_params->grad_viscosity_weakfactor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_viscosity_strain_rate_exponent = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_viscosity_yield_stress = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_viscosity_TZ_prefactor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_viscosity_UM_prefactor = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
inverse_params->grad_viscosity_activation_energy = ymir_dvec_new (mesh, 1, YMIR_GAUSS_NODE);
}
void
slabs_destroy_gradients_viscosity_data (slabs_inverse_problem_params_t *inverse_params)
{
const char *this_fn_name = "destroying gradient vectors";
ymir_vec_destroy (inverse_params->grad_viscosity_weakfactor);
ymir_vec_destroy (inverse_params->grad_viscosity_strain_rate_exponent);
ymir_vec_destroy (inverse_params->grad_viscosity_yield_stress);
ymir_vec_destroy (inverse_params->grad_viscosity_TZ_prefactor);
ymir_vec_destroy (inverse_params->grad_viscosity_UM_prefactor);
ymir_vec_destroy (inverse_params->grad_viscosity_activation_energy);
YMIR_GLOBAL_INFOF ("Finished %s\n", this_fn_name);
}
void
slabs_initialize_inverse_params (slabs_inverse_problem_params_t *inverse_params,
slabs_nl_stokes_problem_t *nl_stokes,
slabs_nl_solver_options_t *solver_options,
slabs_physics_options_t *physics_options)
{
const char *this_fn_name = "Initializing inverse params data structures.\n";
/* Initialize gradient structures */
YMIR_GLOBAL_PRODUCTION ("Setting the inverse parameters.\n");
inverse_params->stokes_pc = nl_stokes->stokes_pc;
inverse_params->viscosity = nl_stokes->viscosity;
inverse_params->bounds_marker = nl_stokes->bounds_marker;
inverse_params->yielding_marker = nl_stokes->yielding_marker;
inverse_params->strain_exp = physics_options->viscosity_stress_exponent;
inverse_params->yield_stress = physics_options->viscosity_stress_yield;
inverse_params->vel_dir = nl_stokes->vel_dir;
inverse_params->krylov_rtol = solver_options->krylov_rtol;
inverse_params->krylov_atol = solver_options->krylov_atol;
inverse_params->krylov_gmres_num_vecs = solver_options->krylov_gmres_num_vecs;
inverse_params->krylov_maxiter = solver_options->krylov_maxiter;
YMIR_GLOBAL_INFOF ("Done with %s", this_fn_name);
}
/**
* Initializes the weak zone.
*/
void
slabs_setup_mesh_data_weakzone (slabs_inverse_problem_params_t *inverse_params,
slabs_stokes_state_t *state,
slabs_physics_options_t *physics_options,
const char *vtk_filepath)
{
ymir_mesh_t *mesh = inverse_params->mesh;
ymir_vec_t *sam_weak = inverse_params->sam_weakzone_stencil;
ymir_vec_t *izu_weak = inverse_params->izu_weakzone_stencil;
ymir_vec_t *ryu_weak = inverse_params->ryu_weakzone_stencil;
MPI_Comm mpicomm = mesh->ma->mpicomm;
char path[BUFSIZ];
/* initialization of weak zone computation */
slabs_physics_init_sam_data_weakzone (mpicomm, physics_options);
slabs_physics_init_izu_data_weakzone (mpicomm, physics_options);
slabs_physics_init_ryu_data_weakzone (mpicomm, physics_options);
#if 1
/* fill Stokes state with weak zone factor values */
slabs_physics_compute_sam_weakzone (sam_weak, physics_options);
slabs_physics_compute_izu_weakzone (izu_weak, physics_options);
slabs_physics_compute_ryu_weakzone (ryu_weak, physics_options);
#endif
/* Write out stencil to vtk file */
snprintf (path, BUFSIZ, "%s_sam_weak", vtk_filepath);
ymir_vtk_write (mesh, path,
sam_weak, "sam weakzone",
izu_weak, "izu weakzone",
ryu_weak, "ryu weakzone",
NULL);
slabs_physics_data_clear_weakzone (physics_options);
}
void
slabs_inverse_problem_clear (slabs_inverse_problem_params_t *inverse_problem_grad)
{
const char *this_fn_name = "clearing variables";
slabs_inverse_destroy_data (inverse_problem_grad);
ymir_vec_destroy (inverse_problem_grad->grad_weak_factor);
ymir_vec_destroy (inverse_problem_grad->grad_strain_exp);
ymir_vec_destroy (inverse_problem_grad->grad_yield_stress);
ymir_vec_destroy (inverse_problem_grad->grad_TZ_prefactor);
ymir_vec_destroy (inverse_problem_grad->grad_UM_prefactor);
ymir_vec_destroy (inverse_problem_grad->grad_activation_energy);
ymir_vec_destroy (inverse_problem_grad->adjoint_vq);
YMIR_GLOBAL_INFOF ("Done %s\n", this_fn_name);
}
sc_dmatrix_t *
slabs_inverse_params_init_velocity_data (slabs_inverse_problem_params_t *inverse_params,
mangll_cnodes_t *cnodes)
{
const mangll_locidx_t n_nodes = cnodes->Ncn;
const char *this_fn_name = "creating velocity data structure";
/* check state */
YMIR_ASSERT (inverse_params->velocity_data == NULL);
/* create temperature field */
inverse_params->velocity_data = sc_dmatrix_new (n_nodes, 1);
YMIR_GLOBAL_INFOF ("Done %s.\n", this_fn_name);
/* return temperature field */
return inverse_params->velocity_data;
}
ymir_vec_t *
slabs_inverse_params_init_velocity_data_vec (slabs_inverse_problem_params_t *inverse_params,
ymir_mesh_t *mesh)
{
const char *this_fn_name = "creating velocity data vector";
/* check state */
YMIR_ASSERT (inverse_params->velocity_data != NULL);
/* create vector view for temperature */
inverse_params->velocity_data_vec = ymir_cvec_new_data (mesh, 1, inverse_params->velocity_data);
YMIR_GLOBAL_INFOF ("Done %s.\n", this_fn_name);
/* return temperature vector */
return inverse_params->velocity_data_vec;
}
void
slabs_inverse_destroy_data (slabs_inverse_problem_params_t *inverse_params)
{
const char *this_fn_name = "destroying velocity data";
if (inverse_params->velocity_data != NULL) {
sc_dmatrix_destroy (inverse_params->velocity_data);
inverse_params->velocity_data = NULL;
}
if (inverse_params->velocity_data_vec != NULL) {
ymir_vec_destroy (inverse_params->velocity_data_vec);
inverse_params->velocity_data_vec = NULL;
}
YMIR_GLOBAL_INFOF ("Done %s\n", this_fn_name);
}
void
slabs_inverse_problem_destroy (slabs_inverse_problem_params_t *inverse_params)
{
const char *this_fn_name = "destroy data";
slabs_inverse_problem_clear (inverse_params);
YMIR_FREE (inverse_params);
YMIR_GLOBAL_INFOF ("Done %s\n", this_fn_name);
}
void
slabs_second_deriv_viscosity_IIe_param_weakfactor (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_weakfactor = inverse_params->grad_viscosity_weakfactor;
ymir_vec_t *grad_viscosity_second_deriv_IIe_weakfactor = inverse_params->grad_viscosity_second_deriv_IIe_weakfactor;
ymir_vec_t *viscosity_deriv_IIe = inverse_params->viscosity_deriv_IIe;
ymir_vec_t *weakfactor_stencil = inverse_params->weakzone_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat, *viscosity_deriv_IIe_el_mat;
sc_dmatrix_t *weakfactor_stencil_el_mat, *grad_viscosity_second_deriv_IIe_weakfactor_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
weakfactor_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_second_deriv_IIe_weakfactor_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
viscosity_deriv_IIe = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (weakfactor_stencil, weakfactor_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (grad_viscosity_weakfactor, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (viscosity_deriv_IIe, viscosity_deriv_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (grad_viscosity_second_deriv_IIe_weakfactor, grad_viscosity_second_deriv_IIe_weakfactor_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_IIe_deriv = viscosity_deriv_IIe_el_mat->e[0] + nodeid;
double *_sc_restrict weakfactor_distrib = weakfactor_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict second_deriv_IIe_weak = grad_viscosity_second_deriv_IIe_weakfactor_el_mat->e[0] + nodeid;
second_deriv_IIe_weak[0] = weakfactor_distrib[0] * viscosity_IIe_deriv[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_second_deriv_IIe_weakfactor, grad_viscosity_second_deriv_IIe_weakfactor_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
/* snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath); */
/* ymir_vtk_write (mesh, path, */
/* grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor", */
/* NULL); */
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (weakfactor_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (grad_viscosity_second_deriv_IIe_weakfactor_el_mat);
sc_dmatrix_destroy (viscosity_deriv_IIe_el_mat);
}
void
slabs_second_deriv_viscosity_IIe_param_strain_rate_exponent (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_second_deriv_IIe_strain_rate_exponent = inverse_params->grad_viscosity_second_deriv_IIe_strain_rate_exponent;
ymir_vec_t *viscosity_deriv_IIe = inverse_params->viscosity_deriv_IIe;
ymir_vec_t *upper_mantle_stencil = inverse_params->upper_mantle_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat, *viscosity_deriv_IIe_el_mat;
sc_dmatrix_t *upper_mantle_stencil_el_mat, *grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
upper_mantle_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
viscosity_deriv_IIe = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (upper_mantle_stencil, upper_mantle_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (viscosity_deriv_IIe, viscosity_deriv_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (grad_viscosity_second_deriv_IIe_strain_rate_exponent, grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_IIe_deriv = viscosity_deriv_IIe_el_mat->e[0] + nodeid;
double *_sc_restrict upper_mantle_distrib = upper_mantle_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict second_deriv_IIe_weak = grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat->e[0] + nodeid;
second_deriv_IIe_weak[0] = upper_mantle_distrib[0] * viscosity_IIe_deriv[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_second_deriv_IIe_strain_rate_exponent, grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
/* snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath); */
/* ymir_vtk_write (mesh, path, */
/* grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor", */
/* NULL); */
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (upper_mantle_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (grad_viscosity_second_deriv_IIe_strain_rate_exponent_el_mat);
sc_dmatrix_destroy (viscosity_deriv_IIe_el_mat);
}
void
slabs_second_deriv_viscosity_IIe_param_yield_stress (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_second_deriv_IIe_yield_stress = inverse_params->grad_viscosity_second_deriv_IIe_yield_stress;
ymir_vec_t *viscosity_deriv_IIe = inverse_params->viscosity_deriv_IIe;
ymir_vec_t *yielding_marker_stencil = inverse_params->yielding_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat, *viscosity_deriv_IIe_el_mat;
sc_dmatrix_t *yielding_marker_stencil_el_mat, *grad_viscosity_second_deriv_IIe_yield_stress_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
yielding_marker_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_second_deriv_IIe_yield_stress_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
viscosity_deriv_IIe = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (yielding_marker_stencil, yielding_marker_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (viscosity_deriv_IIe, viscosity_deriv_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (grad_viscosity_second_deriv_IIe_yield_stress, grad_viscosity_second_deriv_IIe_yield_stress_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_IIe_deriv = viscosity_deriv_IIe_el_mat->e[0] + nodeid;
double *_sc_restrict yield_points = yielding_marker_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict second_deriv_IIe_yield = grad_viscosity_second_deriv_IIe_yield_stress_el_mat->e[0] + nodeid;
second_deriv_IIe_yield[0] = yield_points[0] * viscosity_IIe_deriv[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_second_deriv_IIe_yield_stress, grad_viscosity_second_deriv_IIe_yield_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
/* snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath); */
/* ymir_vtk_write (mesh, path, */
/* grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor", */
/* NULL); */
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (yielding_marker_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (grad_viscosity_second_deriv_IIe_yield_stress_el_mat);
sc_dmatrix_destroy (viscosity_deriv_IIe_el_mat);
}
void
slabs_second_deriv_viscosity_IIe_param_upper_mantle_prefactor (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_second_deriv_IIe_UM_prefactor = inverse_params->grad_viscosity_second_deriv_IIe_UM_prefactor;
ymir_vec_t *viscosity_deriv_IIe = inverse_params->viscosity_deriv_IIe;
ymir_vec_t *upper_mantle_stencil = inverse_params->upper_mantle_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat, *viscosity_deriv_IIe_el_mat;
sc_dmatrix_t *upper_mantle_stencil_el_mat, *grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
upper_mantle_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
viscosity_deriv_IIe = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (upper_mantle_stencil, upper_mantle_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (viscosity_deriv_IIe, viscosity_deriv_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (grad_viscosity_second_deriv_IIe_UM_prefactor, grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_IIe_deriv = viscosity_deriv_IIe_el_mat->e[0] + nodeid;
double *_sc_restrict upper_mantle = upper_mantle_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict second_deriv_IIe_UM = grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat->e[0] + nodeid;
second_deriv_IIe_UM[0] = upper_mantle[0] * viscosity_IIe_deriv[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_second_deriv_IIe_UM_prefactor, grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
/* snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath); */
/* ymir_vtk_write (mesh, path, */
/* grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor", */
/* NULL); */
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (upper_mantle_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (grad_viscosity_second_deriv_IIe_UM_prefactor_el_mat);
sc_dmatrix_destroy (viscosity_deriv_IIe_el_mat);
}
void
slabs_second_deriv_viscosity_IIe_param_transition_zone_prefactor (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_second_deriv_IIe_TZ_prefactor = inverse_params->grad_viscosity_second_deriv_IIe_TZ_prefactor;
ymir_vec_t *viscosity_deriv_IIe = inverse_params->viscosity_deriv_IIe;
ymir_vec_t *transition_zone_stencil = inverse_params->transition_zone_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat, *viscosity_deriv_IIe_el_mat;
sc_dmatrix_t *transition_zone_stencil_el_mat, *grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
transition_zone_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
viscosity_deriv_IIe = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (transition_zone_stencil, transition_zone_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (viscosity_deriv_IIe, viscosity_deriv_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
ymir_dvec_get_elem (grad_viscosity_second_deriv_IIe_TZ_prefactor, grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_IIe_deriv = viscosity_deriv_IIe_el_mat->e[0] + nodeid;
double *_sc_restrict transition_zone = transition_zone_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict second_deriv_IIe_TZ = grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat->e[0] + nodeid;
second_deriv_IIe_TZ[0] = transition_zone[0] * viscosity_IIe_deriv[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_second_deriv_IIe_TZ_prefactor, grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
/* snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath); */
/* ymir_vtk_write (mesh, path, */
/* grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor", */
/* NULL); */
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (transition_zone_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (grad_viscosity_second_deriv_IIe_TZ_prefactor_el_mat);
sc_dmatrix_destroy (viscosity_deriv_IIe_el_mat);
}
void
slabs_gradient_viscosity_param_weakfactor (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_weakfactor = inverse_params->grad_viscosity_weakfactor;
ymir_vec_t *weakfactor_stencil = inverse_params->weakzone_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat;
sc_dmatrix_t *weakfactor_stencil_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
weakfactor_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (weakfactor_stencil, weakfactor_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (grad_viscosity_weakfactor, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_deriv = grad_viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict weakfactor_distrib = weakfactor_stencil_el_mat->e[0] + nodeid;
viscosity_deriv[0] = weakfactor_distrib[0] * visc[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_weakfactor, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath);
ymir_vtk_write (mesh, path,
grad_viscosity_weakfactor, "gradient of viscosity w.r.t weakfactor",
NULL);
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (weakfactor_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
}
void
slabs_gradient_viscosity_param_strain_rate_exponent (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_strain_rate_exponent = inverse_params->grad_viscosity_strain_rate_exponent;
ymir_vec_t *upper_mantle_marker = inverse_params->upper_mantle_marker;
ymir_dvec_t *log_IIe = inverse_params->log_IIe;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
double n = inverse_params->strain_exp;
double log_factor = -0.5 / (n);
double power = (1 - n)/ (n + n);
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat;
sc_dmatrix_t *upper_mantle_stencil_el_mat, *log_IIe_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
upper_mantle_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
log_IIe_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (upper_mantle_marker, upper_mantle_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (log_IIe, log_IIe_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (grad_viscosity_strain_rate_exponent, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_deriv = grad_viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict strain_exp_distrib = upper_mantle_stencil_el_mat->e[0] + nodeid;
double *_sc_restrict logIIe = log_IIe_el_mat->e[0] + nodeid;
viscosity_deriv[0] = logIIe[0] * log_factor * strain_exp_distrib[0] * visc[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_strain_rate_exponent, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath);
ymir_vtk_write (mesh, path,
grad_viscosity_strain_rate_exponent, "gradient of viscosity w.r.t strain_exp",
NULL);
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (upper_mantle_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
sc_dmatrix_destroy (log_IIe_el_mat);
}
void
slabs_gradient_viscosity_param_upper_mantle (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_upper_mantle = inverse_params->grad_viscosity_UM_prefactor;
ymir_vec_t *upper_mantle_marker = inverse_params->upper_mantle_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat;
sc_dmatrix_t *upper_mantle_stencil_el_mat;
double *x, *y, *z, *tmp_el;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
upper_mantle_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (upper_mantle_marker, upper_mantle_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (grad_viscosity_upper_mantle, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_deriv = grad_viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict upper_mantle = upper_mantle_stencil_el_mat->e[0] + nodeid;
viscosity_deriv[0] = upper_mantle[0] * visc[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_upper_mantle, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath);
ymir_vtk_write (mesh, path,
grad_viscosity_upper_mantle, "gradient of viscosity w.r.t upper_mantle",
NULL);
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (upper_mantle_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
}
void
slabs_gradient_viscosity_param_transition_zone (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_transition_zone = inverse_params->grad_viscosity_TZ_prefactor;
ymir_vec_t *transition_zone_marker = inverse_params->transition_zone_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat;
sc_dmatrix_t *transition_zone_stencil_el_mat;
mangll_locidx_t elid;
/* create work variables */
viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
transition_zone_stencil_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
grad_viscosity_el_mat = sc_dmatrix_new (n_nodes_per_el, 1);
for (elid = 0; elid < n_elements; elid++) { /* loop over all elements */
/* get coordinates of this element at Gauss nodes */
ymir_dvec_get_elem (viscosity, viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (transition_zone_marker, transition_zone_stencil_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_READ);
ymir_dvec_get_elem (grad_viscosity_transition_zone, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid,
YMIR_WRITE);
for (nodeid = 0; nodeid < n_nodes_per_el; nodeid++){
double *_sc_restrict visc = viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict viscosity_deriv = grad_viscosity_el_mat->e[0] + nodeid;
double *_sc_restrict transition_zone = transition_zone_stencil_el_mat->e[0] + nodeid;
viscosity_deriv[0] = transition_zone[0] * visc[0];
}
/* ymir_dvec_set_elem (eig_stress, eig_stress_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET); */
ymir_dvec_set_elem (grad_viscosity_transition_zone, grad_viscosity_el_mat, YMIR_STRIDE_NODE, elid, YMIR_SET);
}
snprintf (path, BUFSIZ, "%s_log_viscosity", vtk_filepath);
ymir_vtk_write (mesh, path,
grad_viscosity_transition_zone, "gradient of viscosity w.r.t transition_zone",
NULL);
sc_dmatrix_destroy (viscosity_el_mat);
sc_dmatrix_destroy (transition_zone_stencil_el_mat);
sc_dmatrix_destroy (grad_viscosity_el_mat);
}
void
slabs_gradient_viscosity_param_yield_stress (slabs_inverse_problem_params_t *inverse_params,
const char *vtk_filepath)
{
ymir_vec_t *viscosity = inverse_params->viscosity;
ymir_vec_t *grad_viscosity_yield_stress = inverse_params->grad_yield_stress;
ymir_vec_t *yielding_marker = inverse_params->yielding_marker;
ymir_mesh_t *mesh = viscosity->mesh;
mangll_t *mangll = mesh->ma;
char path[BUFSIZ];
const mangll_locidx_t n_elements = mesh->cnodes->K;
const unsigned int N = ymir_n (mangll->N);
const unsigned int n_nodes_per_el = (N + 1) * (N + 1) * (N + 1);
int nodeid;
sc_dmatrix_t *viscosity_el_mat, *grad_viscosity_el_mat;