helmholtz_band_iterative.cc
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#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 = interpolate(Xh, phi);
band gamma_h (phi_h);
space Bh (gamma_h.band(), "P1");
trial u (Bh); test v (Bh);
form a = integrate (gamma_h, u*v + dot(grad_s(u),grad_s(v)));
field lh = integrate (gamma_h, f(d)*v);
field uh (Bh,0);
solver_option sopt;
sopt.max_iter = 10000;
sopt.tol = 1e-10;
minres (a.uu(), uh.set_u(), lh.u(), eye(), sopt);
dout << catchmark("phi") << phi_h
<< catchmark("u") << uh;
}
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::solver_option::max_iter
size_type max_iter
Definition: solver_option.h:161
field
see the field page for the full documentation
phi
Definition: phi.h:25
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:202
rheolef::minres
int minres(const Matrix &A, Vector &x, const Vector &Mb, const Preconditioner &M, const solver_option &sopt=solver_option())
Definition: minres.h:100
main
int main(int argc, char **argv)
Definition: helmholtz_band_iterative.cc:29
band
see the band page for the full documentation
mkgeo_ball.f
f
Definition: mkgeo_ball.sh:221
space
see the space page for the full documentation
rheolef.h
rheolef - reference manual
sphere.icc
The level set function for the sphere geometry.
a
Definition: diffusion_isotropic.h:25
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::grad_s
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_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:929
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef::solver_option::tol
Float tol
Definition: solver_option.h:160
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
rheolef::eye
solver_basic< Float > eye()
see the eye page for the full documentation
Definition: eye.h:74
u
Definition: leveque.h:25
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
u
Float u(const point &x)
Definition: transmission_error.cc:26
trial
see the test page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation
rheolef::details::dot
rheolef::details::is_vec dot
lambda
Definition: yield_slip_circle.h:34
rheolef::solver_option
see the solver_option page for the full documentation
Definition: solver_option.h:155