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reconstruction_hho_v2.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.h"
#include "diffusion_isotropic.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
string Pkd = (argc > 2) ? argv[2] : "P0",
Pld = (argc > 3) ? argv[3] : Pkd;
space Xh (omega, Pld),
Mh (omega["sides"], Pkd);
size_t k = Xh.degree(), l = Xh.degree(), d = omega.dimension();
check_macro(l == k-1 || l == k || l == k+1,
"invalid (k,l) = ("<<k<<","<<l<<")");
space Xhs(omega, "P"+to_string(k+1)+"d"),
Zh (omega, "P0");
trial u(Xh), lambda(Mh), us(Xhs), zeta (Zh);
test v(Xh), mu (Mh), vs(Xhs), xi (Zh);
form as = lazy_integrate (dot(grad_h(us),A(d)*grad_h(vs)));
form bs = lazy_integrate (us*xi);
auto cs = lazy_integrate (pow(h_local(),2)*zeta*xi);
auto m = lazy_integrate (u*v);
form ms = lazy_integrate (lambda*mu);
form inv_m = inv(m);
form inv_cs = inv(cs);
form ss = as + trans(bs)*inv_cs*bs;
field llh = integrate(u_exact(d)*v);
field rhs = integrate(u_exact(d)*mu);
field pi_Xh_u = inv_m*llh;
field pi_Mh_lambda(Mh);
problem pms (ms);
pms.solve (rhs, pi_Mh_lambda);
field lh = integrate (dot(grad_h(pi_Xh_u),A(d)*grad_h(vs))
+ on_local_sides((pi_Mh_lambda-pi_Xh_u)
*dot(normal(),A(d)*grad_h(vs))));
field kh = integrate (pi_Xh_u*xi);
field rh = lh + bs.trans_mult(inv_cs*kh);
problem pss (ss);
field us_h (Xhs, 0);
pss.solve (rh, us_h);
field zeta_h = inv_cs*(bs*us_h - kh);
dout << catchmark("us") << us_h
<< catchmark("zeta") << zeta_h;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
diffusion_isotropic.h
Tensor diffusion – isotropic case.
main
int main()
Definition field2bb.cc:58
check_macro
check_macro(expr1.have_homogeneous_space(Xh1), "dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)")
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::inv
tensor_basic< T > inv(const tensor_basic< T > &a, size_t d)
Definition tensor.cc:219
rheolef::pow
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
Definition space_mult.h:120
rheolef::grad_h
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:968
rheolef::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition field_expr_terminal.h:432
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&!is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition integrate.h:211
rheolef::on_local_sides
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value, details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): see the expression page for the full documentation
Definition field_expr_quadrature.h:323
rheolef::lazy_integrate
std::enable_if< details::is_field_expr_quadrature_arg< Expr >::value, details::field_lazy_terminal_integrate< Expr > >::type lazy_integrate(const typename Expr::geo_type &domain, const Expr &expr, const integrate_option &iopt=integrate_option())
see the integrate page for the full documentation
Definition field_lazy_terminal.h:588
rheolef::h_local
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
Definition field_expr_terminal.h:520
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition csr.h:455
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
sinusprod.h
The sinus product function.
A
Definition diffusion_isotropic.h:25
lambda
Definition yield_slip_circle.h:34
u_exact
Definition interpolate_RTk_polynom.icc:125
u
Definition leveque.h:25