interpolate(4rheolef) rheolef-6.1 interpolate(4rheolef)
NAME
interpolate - Lagrange interpolation of a function
DESCRIPTION
The function interpolation implements the
Lagrange interpolation of a function or a class-function.
SYNOPSYS
template <class Function>
field interpolate (const space& Vh, const Function& f);
EXAMPLE
The following code compute the Lagrange interpolation
pi_h_u of u(x).
Float u(const point& x);
...
geo omega("square");
space Xh (omega, "P1");
field pi_h_u = interpolate (Xh, u);
ADVANCED EXAMPLE
It is possible the replace the function u by a variable of the field type that represents a picewise polynomial function: this invocation
allows the reinterpolation of a field on another mesh or with another approximation.
geo omega2 ("square2");
space X2h (omega2, "P1");
field uh2 = interpolate (X2h, pi_h_u);
IMPLEMENTATION
template <class T, class M, class Function>
inline
field_basic<T,M>
interpolate (const space_basic<T,M>& V, Function f)
rheolef-6.1 rheolef-6.1 interpolate(4rheolef)