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helmholtz_band.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "sphere.icc"
int main (int argc, char**argv) {
environment rheolef(argc, argv);
geo lambda (argv[1]);
size_t d = lambda.dimension();
space Xh (lambda, "P1");
field phi_h = lazy_interpolate(Xh, phi);
band gamma_h (phi_h);
field phi_h_band = phi_h [gamma_h.band()];
space Bh (gamma_h.band(), "P1");
Bh.block ("isolated");
Bh.unblock ("zero");
trial u (Bh); test v (Bh);
form a = lazy_integrate (gamma_h, u*v + dot(grad_s(u),grad_s(v)));
field lh = lazy_integrate (gamma_h, f(d)*v);
vector<field> b (gamma_h.n_connected_component());
vector<Float> z (gamma_h.n_connected_component(), 0);
for (size_t i = 0; i < b.size(); i++) {
const domain& cci = gamma_h.band() ["cc"+to_string(i)];
field phi_h_cci (Bh, 0);
phi_h_cci [cci] = phi_h_band [cci];
b[i] = phi_h_cci;
}
form A = {{ a, trans(b) },
{ b, 0 }};
field Fh = { lh, z };
A.set_symmetry(true);
problem pa (A);
field Uh (Fh.get_space(), 0);
pa.solve (Fh, Uh);
dout << catchmark("phi") << phi_h
<< catchmark("u") << Uh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition burgers_diffusion_operators.icc:25
band
see the band page for the full documentation
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
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::grad_s
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_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:948
rheolef::lazy_interpolate
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
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::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
sphere.icc
The level set function for the sphere geometry.
A
Definition diffusion_isotropic.h:25
f
Definition cavity_dg.h:29
lambda
Definition yield_slip_circle.h:34
phi
Definition phi.h:25
u
Definition leveque.h:25