double KellyTypeAdapt::eval_boundary_estimator(KellyTypeAdapt::ErrorEstimatorForm* err_est_form, RefMap *rm, SurfPos* surf_pos)
{
// determine the integration order
int inc = (this->sln[err_est_form->i]->get_num_components() == 2) ? 1 : 0;
Func<Ord>** oi = new Func<Ord>* [num];
for (int i = 0; i < num; i++)
oi[i] = init_fn_ord(this->sln[i]->get_edge_fn_order(surf_pos->surf_num) + inc);
// Order of additional external functions.
ExtData<Ord>* fake_ext = dp.init_ext_fns_ord(err_est_form->ext, surf_pos->surf_num);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = err_est_form->ord(1, &fake_wt, oi, oi[err_est_form->i], fake_e, fake_ext);
int order = rm->get_inv_ref_order();
order += o.get_order();
limit_order(order);
// Clean up.
for (int i = 0; i < this->num; i++)
if (oi[i] != NULL) { oi[i]->free_ord(); delete oi[i]; }
delete [] oi;
delete fake_e;
delete fake_ext;
// eval the form
Quad2D* quad = this->sln[err_est_form->i]->get_quad_2d();
int eo = quad->get_edge_points(surf_pos->surf_num, order);
double3* pt = quad->get_points(eo);
int np = quad->get_num_points(eo);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_surf(rm, surf_pos, eo);
double3* tan = rm->get_tangent(surf_pos->surf_num, eo);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * tan[i][2];
// function values
Func<scalar>** ui = new Func<scalar>* [num];
for (int i = 0; i < num; i++)
ui[i] = init_fn(this->sln[i], eo);
ExtData<scalar>* ext = dp.init_ext_fns(err_est_form->ext, rm, eo);
scalar res = boundary_scaling_const *
err_est_form->value(np, jwt, ui, ui[err_est_form->i], e, ext);
for (int i = 0; i < this->num; i++)
if (ui[i] != NULL) { ui[i]->free_fn(); delete ui[i]; }
delete [] ui;
if (ext != NULL) { ext->free(); delete ext; }
e->free(); delete e;
delete [] jwt;
return std::abs(0.5*res); // Edges are parameterized from 0 to 1 while integration weights
// are defined in (-1, 1). Thus multiplying with 0.5 to correct
// the weights.
}
double KellyTypeAdapt::eval_volumetric_estimator(KellyTypeAdapt::ErrorEstimatorForm* err_est_form, RefMap *rm)
{
// determine the integration order
int inc = (this->sln[err_est_form->i]->get_num_components() == 2) ? 1 : 0;
Func<Ord>** oi = new Func<Ord>* [num];
for (int i = 0; i < num; i++)
oi[i] = init_fn_ord(this->sln[i]->get_fn_order() + inc);
// Order of additional external functions.
ExtData<Ord>* fake_ext = dp.init_ext_fns_ord(err_est_form->ext);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = err_est_form->ord(1, &fake_wt, oi, oi[err_est_form->i], fake_e, fake_ext);
int order = rm->get_inv_ref_order();
order += o.get_order();
limit_order(order);
// Clean up.
for (int i = 0; i < this->num; i++)
if (oi[i] != NULL) { oi[i]->free_ord(); delete oi[i]; }
delete [] oi;
delete fake_e;
delete fake_ext;
// eval the form
Quad2D* quad = this->sln[err_est_form->i]->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rm, order);
double* jac = rm->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values
Func<scalar>** ui = new Func<scalar>* [num];
for (int i = 0; i < num; i++)
ui[i] = init_fn(this->sln[i], order);
ExtData<scalar>* ext = dp.init_ext_fns(err_est_form->ext, rm, order);
scalar res = volumetric_scaling_const *
err_est_form->value(np, jwt, ui, ui[err_est_form->i], e, ext);
for (int i = 0; i < this->num; i++)
if (ui[i] != NULL) { ui[i]->free_fn(); delete ui[i]; }
delete [] ui;
if (ext != NULL) { ext->free(); delete ext; }
e->free(); delete e;
delete [] jwt;
return std::abs(res);
}
Scalar L2OrthoHP::eval_error(biform_val_t bi_fn, biform_ord_t bi_ord,
MeshFunction *sln1, MeshFunction *sln2, MeshFunction *rsln1, MeshFunction *rsln2,
RefMap *rv1, RefMap *rv2, RefMap *rrv1, RefMap *rrv2)
{
// determine the integration order
int inc = (rsln1->get_num_components() == 2) ? 1 : 0;
Func<Ord>* ou = init_fn_ord(rsln1->get_fn_order() + inc);
Func<Ord>* ov = init_fn_ord(rsln2->get_fn_order() + inc);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = bi_ord(1, &fake_wt, ou, ov, fake_e, NULL);
int order = rrv1->get_inv_ref_order();
order += o.get_order();
limit_order(order);
ou->free_ord(); delete ou;
ov->free_ord(); delete ov;
delete fake_e;
// eval the form
Quad2D* quad = sln1->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rrv1, order);
double* jac = rrv1->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values and values of external functions
Func<Scalar>* err1 = init_fn(sln1, rv1, order);
Func<Scalar>* err2 = init_fn(sln2, rv2, order);
Func<Scalar>* v1 = init_fn(rsln1, rrv1, order);
Func<Scalar>* v2 = init_fn(rsln2, rrv2, order);
for (int i = 0; i < np; i++)
{
err1->val[i] = err1->val[i] - v1->val[i];
err1->dx[i] = err1->dx[i] - v1->dx[i];
err1->dy[i] = err1->dy[i] - v1->dy[i];
err2->val[i] = err2->val[i] - v2->val[i];
err2->dx[i] = err2->dx[i] - v2->dx[i];
err2->dy[i] = err2->dy[i] - v2->dy[i];
}
Scalar res = bi_fn(np, jwt, err1, err2, e, NULL);
e->free(); delete e;
delete [] jwt;
err1->free_fn(); delete err1;
err2->free_fn(); delete err2;
v1->free_fn(); delete v1;
v2->free_fn(); delete v2;
return res;
}
// Actual evaluation of volume matrix form (calculates integral)
scalar FeProblem::eval_form(WeakForm::MatrixFormVol *mfv, Tuple<Solution *> u_ext, PrecalcShapeset *fu, PrecalcShapeset *fv, RefMap *ru, RefMap *rv)
{
// determine the integration order
int inc = (fu->get_num_components() == 2) ? 1 : 0;
AUTOLA_OR(Func<Ord>*, oi, wf->neq);
for (int i = 0; i < wf->neq; i++) oi[i] = init_fn_ord(u_ext[i]->get_fn_order() + inc);
Func<Ord>* ou = init_fn_ord(fu->get_fn_order() + inc);
Func<Ord>* ov = init_fn_ord(fv->get_fn_order() + inc);
ExtData<Ord>* fake_ext = init_ext_fns_ord(mfv->ext);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = mfv->ord(1, &fake_wt, oi, ou, ov, fake_e, fake_ext);
int order = ru->get_inv_ref_order();
order += o.get_order();
limit_order_nowarn(order);
for (int i = 0; i < wf->neq; i++) { oi[i]->free_ord(); delete oi[i]; }
ou->free_ord(); delete ou;
ov->free_ord(); delete ov;
delete fake_e;
fake_ext->free_ord(); delete fake_ext;
// eval the form
Quad2D* quad = fu->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
if (cache_e[order] == NULL)
{
cache_e[order] = init_geom_vol(ru, order);
double* jac = ru->get_jacobian(order);
cache_jwt[order] = new double[np];
for(int i = 0; i < np; i++)
cache_jwt[order][i] = pt[i][2] * jac[i];
}
Geom<double>* e = cache_e[order];
double* jwt = cache_jwt[order];
// function values and values of external functions
AUTOLA_OR(Func<scalar>*, prev, wf->neq);
for (int i = 0; i < wf->neq; i++) prev[i] = init_fn(u_ext[i], rv, order);
Func<double>* u = get_fn(fu, ru, order);
Func<double>* v = get_fn(fv, rv, order);
ExtData<scalar>* ext = init_ext_fns(mfv->ext, rv, order);
scalar res = mfv->fn(np, jwt, prev, u, v, e, ext);
for (int i = 0; i < wf->neq; i++) { prev[i]->free_fn(); delete prev[i]; }
ext->free(); delete ext;
return res;
}
double KellyTypeAdapt::eval_solution_norm(Adapt::MatrixFormVolError* form, RefMap *rm, MeshFunction* sln)
{
// determine the integration order
int inc = (sln->get_num_components() == 2) ? 1 : 0;
Func<Ord>* ou = init_fn_ord(sln->get_fn_order() + inc);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = form->ord(1, &fake_wt, NULL, ou, ou, fake_e, NULL);
int order = rm->get_inv_ref_order();
order += o.get_order();
Solution *sol = static_cast<Solution *>(sln);
if(sol && sol->get_type() == HERMES_EXACT) {
limit_order_nowarn(order);
}
else {
limit_order(order);
}
ou->free_ord(); delete ou;
delete fake_e;
// eval the form
Quad2D* quad = sln->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rm, order);
double* jac = rm->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values
Func<scalar>* u = init_fn(sln, order);
scalar res = form->value(np, jwt, NULL, u, u, e, NULL);
e->free(); delete e;
delete [] jwt;
u->free_fn(); delete u;
return std::abs(res);
}
Ord exp(const Ord &a) { return Ord(3 * a.get_order()); }
Ord sqr(const Ord &a) { return Ord(2 * a.get_order()); }
Ord pow(const Ord &a, const double &b) { return Ord((int) ceil(fabs(b)) * a.get_order()); }
double KellyTypeAdapt::eval_interface_estimator(KellyTypeAdapt::ErrorEstimatorForm* err_est_form,
RefMap *rm, SurfPos* surf_pos,
LightArray<NeighborSearch*>& neighbor_searches, int neighbor_index)
{
NeighborSearch* nbs = neighbor_searches.get(neighbor_index);
Hermes::vector<MeshFunction*> slns;
for (int i = 0; i < num; i++)
slns.push_back(this->sln[i]);
// Determine integration order.
ExtData<Ord>* fake_ui = dp.init_ext_fns_ord(slns, neighbor_searches);
// Order of additional external functions.
// ExtData<Ord>* fake_ext = dp.init_ext_fns_ord(err_est_form->ext, nbs);
// Order of geometric attributes (eg. for multiplication of a solution with coordinates, normals, etc.).
Geom<Ord>* fake_e = new InterfaceGeom<Ord>(init_geom_ord(), nbs->neighb_el->marker, nbs->neighb_el->id, nbs->neighb_el->get_diameter());
double fake_wt = 1.0;
Ord o = err_est_form->ord(1, &fake_wt, fake_ui->fn, fake_ui->fn[err_est_form->i], fake_e, NULL);
int order = rm->get_inv_ref_order();
order += o.get_order();
limit_order(order);
// Clean up.
if (fake_ui != NULL)
{
for (int i = 0; i < num; i++)
delete fake_ui->fn[i];
fake_ui->free_ord();
delete fake_ui;
}
delete fake_e;
//delete fake_ext;
Quad2D* quad = this->sln[err_est_form->i]->get_quad_2d();
int eo = quad->get_edge_points(surf_pos->surf_num, order);
int np = quad->get_num_points(eo);
double3* pt = quad->get_points(eo);
// Init geometry and jacobian*weights (do not use the NeighborSearch caching mechanism).
double3* tan = rm->get_tangent(surf_pos->surf_num, eo);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * tan[i][2];
Geom<double>* e = new InterfaceGeom<double>(init_geom_surf(rm, surf_pos, eo),
nbs->neighb_el->marker,
nbs->neighb_el->id,
nbs->neighb_el->get_diameter());
// function values
ExtData<scalar>* ui = dp.init_ext_fns(slns, neighbor_searches, order);
//ExtData<scalar>* ext = dp.init_ext_fns(err_est_form->ext, nbs);
scalar res = interface_scaling_const *
err_est_form->value(np, jwt, ui->fn, ui->fn[err_est_form->i], e, NULL);
if (ui != NULL) { ui->free(); delete ui; }
//if (ext != NULL) { ext->free(); delete ext; }
e->free(); delete e;
delete [] jwt;
return std::abs(0.5*res); // Edges are parameterized from 0 to 1 while integration weights
// are defined in (-1, 1). Thus multiplying with 0.5 to correct
// the weights.
}