Rheolef  7.2
an efficient C++ finite element environment
 
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cahouet-chabart.h

The Cahouet-Chabart preconditioner for the Navier-Stokes equations.

The Cahouet-Chabart preconditioner for the Navier-Stokes equations

#include "neumann-laplace-assembly.h"
cahouet_chabart (const space& Qh, Float lambda_1)
: fact_m(), fact_c(), lambda(lambda_1) {
form m (Qh, Qh, "mass");
fact_m = ldlt(m.uu);
trial p (Qh); test q (Qh);
form a = integrate (dot(grad(p),grad(q)));
form_diag dm (Qh, "mass");
field mh (dm);
csr<Float> c = neumann_laplace_assembly (a.uu, mh.u);
fact_c = ldlt(c);
}
vec<Float> solve (const vec<Float>& Mp) const {
vec<Float> q1 = fact_m.solve(Mp);
vec<Float> Mp_e (Mp.size()+1);
for (size_t i = 0; i < Mp.size(); i++) Mp_e.at(i) = Mp.at(i);
Mp_e.at(Mp.size()) = 0;
vec<Float> q2_e = fact_c.solve(Mp_e);
vec<Float> q2 (Mp.size());
for (size_t i = 0; i < q2.size(); i++) q2.at(i) = q2_e.at(i);
vec<Float> q = q1 + lambda*q2;
return q;
}
ssk<Float> fact_m;
ssk<Float> fact_c;
};
see the Float page for the full documentation
see the field page for the full documentation
see the form 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
ssk< Float > fact_m
vec< Float > solve(const vec< Float > &Mp) const
ssk< Float > fact_c
Definition sphere.icc:25