Rheolef  7.1
an efficient C++ finite element environment
reconstruction_hho.cc

The hybrid high order method – reconstruction operator

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.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 = Mh.degree(), d = omega.dimension();
check_macro(l == k-1 || l == k || l == k+1,
"invalid (k,l) = ("<<k<<","<<l<<")");
space Xhs(omega, "P"+itos(k+1)+"d"),
Zh (omega, "P0"),
Yh = Xhs*Zh;
trial u(Xh), lambda(Mh), x(Yh);
test v(Xh), mu (Mh), y(Yh);
auto us = x[0], zeta = x[1];
auto vs = y[0], xi = y[1];
integrate_option iopt;
iopt.invert = true;
form inv_m = integrate (u*v, iopt);
field uh = inv_m*lh;
field lambda_h(Mh);
problem pms (ms);
pms.solve (kh, lambda_h);
form inv_as = integrate (dot(grad_h(us),a(d)*grad_h(vs)) + us*xi
+ vs*zeta, iopt);
field lhs = integrate (dot(grad_h(uh),a(d)*grad_h(vs)) + uh*xi
+ on_local_sides((lambda_h-uh)
*dot(normal(),a(d)*grad_h(vs))));
field xh = inv_as*lhs;
dout << catchmark("us") << xh[0];
}
field lh(Float epsilon, Float t, const test &v)
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the problem page for the full documentation
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
Tensor diffusion – isotropic case.
This file is part of Rheolef.
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
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
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:202
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
int main(int argc, char **argv)
rheolef - reference manual
The sinus product function.
Definition: leveque.h:25
g u_exact
Definition: taylor_exact.h:26
Float u(const point &x)