NAME
interpolate - Lagrange interpolation of a function
DESCRIPTION
The function
interpolation implements the
Lagrange interpolation of a function or a
class-function.
SYNOPSIS
template
<class Function>
field interpolate (const space& Xh, 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);
COPYRIGHT
Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito [AT] imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>;. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.