Rheolef  7.2
an efficient C++ finite element environment
helmholtz_band_iterative.cc

The Helmholtz problem on a surface by the banded level-set method – iterative solver.

The Helmholtz problem on a surface by the banded level-set method – iterative solver

#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);
space Bh (gamma_h.band(), "P1");
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);
field uh (Bh,0);
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;
}
field lh(Float epsilon, Float t, const test &v)
see the band page for the full documentation
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 catchmark page for the full documentation
Definition: catchmark.h:67
see the environment page for the full documentation
Definition: environment.h:121
see the solver_option page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
int main(int argc, char **argv)
rheolef::details::is_vec dot
This file is part of Rheolef.
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
int minres(const Matrix &A, Vector &x, const Vector &Mb, const Preconditioner &M, const solver_option &sopt=solver_option())
Definition: minres.h:100
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
solver_basic< Float > eye()
see the eye page for the full documentation
Definition: eye.h:74
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
STL namespace.
rheolef - reference manual
The level set function for the sphere geometry.
Definition: phi.h:25
Definition: leveque.h:25